5. THE HADRON CALORIMETER

5.1 INTRODUCTION

The hadron calorimeter (HCAL) surrounds the electromagnetic calorimeter and acts in conjunction with it to measure the energies and directions of particle jets, and to provide hermetic coverage for measuring missing transverse energy. The pseudorapidity range ( < 3.0) is covered by the barrel and endcap hadron calorimeters which sit inside the 4 T field of the CMS solenoid. In the central region around = 0 a hadron shower 'tail catcher' is installed outside the solenoid coil to ensure adequate sampling depth. The active elements of the barrel and endcap hadron calorimeter consist of plastic scintillator tiles with wavelength-shifting (WLS) fibre readout. Layers of these tiles alternate with layers of copper or stainless steel absorber to form the sampling calorimeter structure. The tiles are arranged in projective towers with fine granularity to provide good di-jet separation and mass resolution.

The pseudorapidity range (3.0 <   < 5.0) is covered by a separate very forward calorimeter satisfying different design criteria. This system is described in Chap. 6.

The choice of lead tungstate crystals as the active element of the electromagnetic calorimeter influences the HCAL design and performance. The optimisation of the HCAL/ECAL combination requires prototype work in test beams. Studies using a realistically sized HCAL prototype are also required to study the effect of cracks and dead areas that may be introduced when building a calorimeter. For these prototypes to be realistic it is essential that the mechanical design be fully developed, taking into account the need for hermetic calorimetry and the provision of supports for inner elements of the CMS detector.

5.2 REQUIREMENTS AND DESIGN CONSTRAINTS

5.2.1 Requirements

The hadron calorimeter must have good hermeticity, good transverse granularity, moderate energy resolution and sufficient depth for hadron shower containment. We have chosen a lateral granularity of  = 0.087 x 0.087 for  < 2.0 to match that of the electromagnetic calorimeter and the muon chambers. This granularity is sufficient for good di-jet separation and mass resolution. The calorimeter readout must have a dynamic range from 20 MeV to 2 TeV to allow the observation of single muons in a calorimeter tower while maintaining adequate response for the highest energy hadronic showers. The muon signal will be used for calibration and assist in muon identification.

The physics programme most demanding of good hadronic resolution and segmentation is the detection of narrow states decaying into pairs of jets. The di-jet mass resolution includes contributions from physics effects such as fragmentation as well as detector effects such as angular and energy resolution. When the jet is small, mass resolution is dominated by physics effects. For high jets arising from decays of boosted light objects, angular resolution plays a more important role than energy resolution. The influence of hadron calorimeter transverse segmentation has been studied for hadronic decays of boosted W and Z bosons. Segmentation coarser than  = 0.1 x 0.1 significantly degrades the mass resolution, particularly for W and Z bosons having > 500 GeV, while the energy resolution has relatively little effect. It is only in the case of back-to-back high jets, arising from the decay of heavy objects, that physics and angular effects are suppressed to the point where energy resolution plays a significant role. Thus the only physics process in which the hadron energy resolution is expected to be important is in the detection of a heavy Z' decaying into two jets. Further details are given in Sect. 11.6.2.

The existing test beam data set, with optimal weighting for leakage, yields a resolution, for single hadrons at  = 0, of . Initial Monte-Carlo studies substantially confirm this result [1].

Detailed simulations of the cracks, dead material, etc. of the calorimeter system must be developed to obtain energy resolution as a function of  and , and missing resolution.

5.2.2 Design Constraints

Since the calorimeters are located inside the CMS solenoid and cryostat, the 4 T field permeates their entire structure. The response of scintillators to charged particles in high magnetic fields must therefore be measured and understood. In addition, the absorber must be non-magnetic and the mechanical structure must be able to withstand the forces generated in the unlikely event of fast discharge of the superconducting solenoid magnet. The radial depth of the barrel hadron calorimeter is restricted to about 100 cm because, for transportation purposes, the coil winding must not exceed 6.8 m in diameter (see Sect. 2.1). Copper is chosen as the absorbing material to maximise the number of hadronic interaction lengths in the barrel, while satisfying the non-magnetic requirement (see Sect. 5.3.1).

The 25 ns time interval between beam crossings sets the scale for the time resolution needed in the calorimeter. At LHC design luminosity there are approximately twenty minimum bias interactions per crossing. The calorimeter must help distinguish the rare interesting events from this background (which is strongly suppressed in the calorimeter by the 4 T field) and must have the granularity and time resolution to suppress multi-bunch crossing pile up.

For adequate performance, the hadron calorimeter response must be uniform and stable with time at the level of a few percent. During the life of the experiment the response of the calorimeter may change as a result of radiation damage or ageing. Rigorous quality control during manufacture, combined with test beam calibration, and a sophisticated, redundant system for monitoring the response of each layer of each tower, will be needed to meet this performance target.

5.3 HADRON CALORIMETER DESIGN

The hadron calorimeter consists of a barrel (HB) and two endcap (HF) sections inside the solenoid and a tail catcher outside the solenoid. The design is illustrated in Figs. 5.1 and 5.2. Details of the mechanical assembly and support of these complete sections are given in Chap. 15.


Fig. 5.1: The tower structure of HCAL for the barrel (end view).

5.3.1 Choice of Absorber

The requirements for the absorber are:
* a short interaction length as space is limited,
* low Z so as not to degrade muon momentum resolution,
* non-magnetic material to avoid magnetic forces in the 4 T field and
* low cost.

Copper has been chosen as the absorber material because it has a shorter interaction length than steel. Furthermore, it is easy to construct mechanical structures by electron beam welding (EBW) starting from relatively flat plates. EBW tests on four 0.5 x 0.5 x 0.04  plates have been very encouraging [2]. but other options are still being pursued. One example is to cast the main body of the wedge and electron beam weld only the inner and outer stainless steel plates.

5.3.2 Structure

The barrel (HB) is divided into two equal cylindrical sections which will be bolted together and inserted from one end of the coil vacuum tank. Each of these half-barrels consists of eighteen identical wedges weighing 27 tonnes each, constructed out of flat absorber plates parallel to the beam axis. The body of the calorimeter is copper but the inner and outer plates are stainless steel for structural strength. Gaps between the absorber plates are maintained by 9 mm copper spacers running the length of the wedge along the outer boundaries. To improve energy resolution the barrel hadron calorimeter is segmented radially into two sampling compartments HB1 and HB2. HB1 consists of 30 mm thick copper absorber plates and ten sampling layers, while HB2 consists of 59 mm thick copper absorber plates and nine sampling layers. Thus there are a total of nineteen sampling layers in the barrel HCAL. The structure of each wedge includes a 50 mm step in (see Fig. 5.1) to avoid radial gaps in the active coverage at wedge boundaries. Even numbered wedges are larger at the outer radius while odd numbered wedges are larger at the inner radius. Each wedge module is assembled from flat plates of copper and stainless steel which are electron beam welded into a complete unit. The outer surface is machined to the required precision after welding. Electron beam welding causes no local distortions in the plates. The stresses and deformations of such a construction have been analysed by a finite element analysis and shown to be acceptable [3,4].

The active readout scintillator tiles in each layer are divided into segments of  = 0.087 x 0.087. This granularity gives good shower resolution and matches the trigger granularity of the electromagnetic calorimeter and of the muon system.

Each hadron endcap (HF) consists of eighteen identical wedges (14 tonnes per wedge), matching the barrel segmentation, and constructed in a similar way out of plates perpendicular to the beam direction. The endcap wedges are also segmented longitudinally into two different compartments HF1 and HF2, in this case having a thickness of 50 mm and 100 mm respectively. There are nine layers of fine sampling and twelve of coarse sampling for a total of 21 sampling layers. The final details will be fixed after further R&D studies [5]. Again, each wedge is stepped in to maintain active coverage. The standard  = 0.087 x 0.087 granularity of each layer is modified to match that of the endcap electromagnetic calorimeter.

The region 2.6 <   < 3.0 is a high radiation environment (20 kGy/year, 2 Mrad/year) and the active elements here may have to be replaced every few years. Given the encouraging radiation tolerance of lead tungstate crystals (see Sect. 4.2.3), one option is to extend the ECAL to cover this region, thus protecting the endcap HCAL behind it. An alternative is to construct the first six layers of the endcap HCAL in this region in the form of an easily removable ring (Fig. 5.2).

In the central pseudorapidity region the barrel hadron calorimeter within the solenoid is too thin for complete shower containment. Further scintillator sampling layers with the same tower granularity are therefore added outside the coil and cryostat, which constitute an absorber layer with a thickness of approximately 1.3  . The first additional scintillator layer has an individual readout for each segment and wraps around the full length of the cryostat in a 36-fold symmetry. In the central pseudorapidity region of  < 0.43, an additional interaction length of absorber and two scintillator layers are added, forming a section called the tail catcher. The tail catcher matches the muon chamber segmentation and hence has a 12-fold symmetry.

The electromagnetic calorimeter has a thickness of about 1.1  . The effective absorber plate thickness of the HCAL increases with the polar angle as . It follows that the stochastic resolution term in the barrel depends only on the physically relevant variable . The barrel thickness varies from a thickness of 5.46  at  = 0 to 10.82 at  = 1.3. A smooth transition is made to the endcap region at  = 1.5. However, two segments in this region are traversed by a 100 mm gap to provide cable and fibre paths out of the detector. The total absorber thickness in the endcap averages about 11  , to allow for the logarithmic increase in depth needed for higher energy shower containment.

5.3.3 Optical System

The technology of plastic scintillator tiles read out with embedded WLS fibres was first developed in the UA1 collaboration and at Protvino [6]. It was extensively studied and refined by the SDC collaboration for both electromagnetic and hadronic calorimetry [7], and is being used in the upgrade of the CDF endcap calorimetry [8]. There are many merits in using this technique for the active layers of a sampling calorimeter. Projective towers with a relatively fine lateral and longitudinal segmentation can be easily achieved. Longitudinal segmentation can be used to apply weighting corrections [9] to improve the energy resolution and to identify events with pathological shower development. Corrections for radiation damage, by masking, can be applied albeit at the price of a reduced light yield.

Although the use of this technique in CMS has been simulated in detail [10,11,12,13] and tests with prototypes have been started [14], extensive R&D is still required [12], especially in the optimisation of the tail catcher. The green WLS light will be channelled via clear fibres to the endcap region where the photodetectors will be placed. Photodetectors with gain that can operate in a 4 T axial field are required.

The hadron calorimeter will consist of a large number of towers ( 3400). In order to limit the number of individual elements, the tiles in a given layer are arranged as a single mechanical unit called a 'megatile'. For a barrel wedge the () segmentation is 17 () x 4 () and the 68 tiles in one layer of a wedge constitute a megatile. An example of an endcap megatile is shown in Fig. 5.3. There are several possible construction techniques. In one, the separate tiles are cut out of scintillator, the edges painted white, and the tiles attached to a plastic substrate using plastic rivets. In another, the tiles are cut from a single large piece of scintillator, and glued in place with white epoxy to form the megatile. The light from each tile is collected by a green WLS fibre placed in a machined groove in the scintillator. After exiting the scintillator the WLS fibre is spliced to a clear fibre which transports the light to the edge of the megatile. The clear fibre terminates into one side of a multifibre optical connector at the megatile boundary. Multifibre optical cables carry the light from the megatiles to decoder boxes. Here, the fibres from the corresponding tiles in different layers are organised into bundles, enabling the light from all tiles belonging to the same tower segment to be optically mixed into a photodetector.


Fig. 5.3: An example of the megatile concept for the endcap.

The megatile, along with the readout fibres, will be packaged as a tray which will be inserted into the calorimeter absorber structure. After insertion, the multifibre optical cables will be connected between the trays and the decoder boxes.

The advantage of this scheme are that the scintillator trays can be built and tested remotely from the installation area. Once the calorimeter absorber is assembled, the trays can be inserted very rapidly. Conversely, the trays can be removed and refurbished without removal of the absorber structure in the (unlikely) event of catastrophic radiation damage to the scintillator.

The construction of a scintillator tray unit (Fig. 5.3) begins with a plastic cover plate whose thickness is 0.5 mm, followed by the 4 mm thick scintillator megatile wrapped in a thin sheet of Tyvek 1073D (a plastic insulating material) for reflectivity and light tightness. The top of the megatile is covered with a white polystyrene plate with a thickness of 2 mm. Individual tiles are grooved to hold the WLS fibres and the cover is grooved to provide routing for the fibres to the outside of the tray. The fibres rise out of the scintillator into matching grooves on top of the white plastic. The white plastic layer is also grooved to accept tubes for the wire-driven radioactive calibration sources.

The clear fibres, which are spliced to the WLS fibres, run to an optical connector at the edge of the tray. Finally, a second plastic cover plate is placed on top of the white plastic and the entire unit is riveted together. The sides of the trays are then made light tight.

Choice of Materials

The materials used in the HCAL optical system should have good long-term stability and be easy to handle and to machine. They should also be able to survive the expected maximum ten year radiation doses up to  = 2.5 (a total of  1 kGy (0.1 Mrad) in the barrel and 20 kGy (2 Mrad) in the endcap) without the necessity of replacement. The total optical system should produce enough light to easily identify minimum-ionising tracks penetrating the calorimeter (for use in muon identification as well as calibration/monitoring). Well controlled scintillator thickness and fibre diameters are critical for the optimal performance of the calorimeter. Attenuation lengths of the fibres also must be well controlled.

The baseline choice of material for the HCAL optical system satisfies these requirements. For the barrel, Kuraray SCSN81 plastic scintillator will be used. This material has been shown to be radiation hard [5] and have good long-term stability. For the WLS fibre, the baseline choice is Kuraray Y-11 double-clad fibre. Double-clad WLS fibres have good mechanical properties as well as delivering  1.5 times more light than single-clad. The baseline clear fibre is Kuraray double-clad clear fibre. For the endcaps it is proposed to use the Kharkov (Ukraine) plastic scintillator [15] with the same parameters. An alternative choice for the scintillator may be PSM-115(A), a polystyrene scintillator manufactured by injection molding at IHEP, Protvino. Minsk and Moscow (INR) are also investigating the production of double-clad WLS fibre.

These choices will satisfy the requirements of much of the endcap region. However, for the more forward region, we will need to use more radiation hard materials. Work from SDC has shown that polystyrene scintillator using the 3HF dye, and wavelength-shifting fibre using the Kuraray orange dye, O2, will survive the expected radiation dose in the forward part of the endcap. Figure 5.4 [5] illustrates the improvement obtained using the green/orange combination. A new Bicron blue scintillator (BC499-S2) also looks very promising.


Fig. 5.4: Light yield as a function of dose for blue/green and green/orange tile/WLS combinations. 'MFM' stands for multiple WLS fibres embedded in the scintillator; '' stands for one single WLS fibre with a shape.

It is well documented that the light yield from scintillator increases when embedded in a magnetic field [16,17]. Recent measurements at Fermilab and Florida State indicate that this effect saturates above 2 T [18] for the baseline SCSN81 scintillator as well as for other scintillators (see Fig. 5.5). The effect appears to be due to the primary excitation as can be seen by comparing the response to and UV sources.


Fig. 5.5: Fractional light increase as a function of magnetic field for various scintillator tile/WLS combinations.

Production Issues

To realise the tile/fibre technology, several developments were required. These developments, largely due to the SDC and CDF groups [7,8], include fibre splicing, mirroring, optical connectors and cables, and fundamental measurements of the tile-fibre optical system. Some of the results are discussed below.

Fibres are spliced together by controlled melting of the ends inside a restricting tube (thermal fusion). This technique has been optimised for factors such as long-term mechanical stability, strength to withstand repeated flexing, high optical transmission and very small variation in transmission for different splices. The mean value of the transmission through a splice (normalised to the uncut fibre) is measured to be 91% with an r.m.s. of 1.8%.

Multifibre optical connectors were developed by the CDF collaboration. These connectors allow the optical signals to be treated in a similar way as electrical signals. The scintillator tile trays can be quickly connected to and disconnected from multifibre optical cables that look strikingly like multiconductor electrical cables. The optical connectors are made via precision injection molding of mechanically stable plastic. In this manner, all connectors are identical, and there is no need for pair-matching of the connectors. The reproducibility of the optical connector transmission for many make/break operations has been measured to have a mean transmission of 83%, with an r.m.s. of 0.6%, for a single fibre. Considering all fibres in the connector, the r.m.s. is  2 to 3%.

Variation in transverse uniformity of tiles in a tower, or variation in tile-to-tile light yield for tiles in a tower, will increase the constant term in the energy resolution. We have carried out detailed studies to identify the requirements on the optical system so that these variations do not contribute substantially to the constant term. We have found that tile-to-tile variation of less than 10% is acceptable. The CDF plug upgrade calorimeter group has built several thousand tiles. The measured tile-to-tile variation of the light yield from a set of 1000 finished tiles is found to be 6.4%. This is adequate for a good hadron calorimeter.

The transverse uniformity of a tile is dominated by the placement of the WLS fibre. Based on knowledge from the CDF group, we expect our transverse non-uniformity to be a few per cent. This non-uniformity will not affect the resolution constant term appreciably.

Quality Control

In our plan, the scintillator trays will be built and tested remotely. The trays, optical cables, and decoder boxes will be shipped to CERN. At the time of installation, we must verify that all cables are correctly placed, that good optical contacts are made, and that there are no broken or damaged components. We will determine this by using an integrated system of moving radioactive sources. This system allows a radioactive source to illuminate each tile in the system individually. By comparing the induced current to that expected, we can verify the integrity of the system.

The moving source system was developed for the CDF and SDC calorimeter projects. It consists of a set of tubes placed in the scintillator trays plumbed to a 'source-mover'. The source is inside a long flexible stainless steel tube. The source mover can (via computer control) push the source down any of the tubes and thus expose any of the tiles to the source. The same system will be used for the initial quality control testing at the site of the manufacture of the scintillator tray.

This quality control strategy is the same as used by CDF in their calorimeter upgrade project. Their experience gives us confidence that the strategy will work for CMS as well.

5.3.4 Photodetectors

The HCAL photodetectors which convert the optical signals from the  10  fibre bundles corresponding to a tower are required to have a linear dynamic range of and operate in a uniform 4 T magnetic field. For calibration purposes, the detectors must have the capability of measuring the signal generated by a radioactive source as a DC current to a precision of 3%. In addition, the photodetectors are located inside the detector, adjacent to the HCAL itself, where service access is infrequent thus placing an additional requirement on mean-time-to-failure. The useful lifetime of the photodetector must correspond to ten years of operation at a luminosity of . A final requirement on the ratio of the signal to noise follows from the need to measure the signal from a minimum ionising particle. Progress is being made on the development of two types of photodetectors that can operate in magnetic fields and still provide gain. These are the proximity focused hybrid photodiode (PFHPD) [19,20] and the semiconductor avalanche photodiode (APD) [21].

Proximity Focused Hybrid Photodiode

The proximity focused hybrid photodiode is an image intensifier operated in the electron bombardment mode. Photoelectrons emitted from the photocathode are accelerated by an electric field and stopped in a silicon diode target where electron-hole pairs are produced generating the signal. In the device under consideration, the 10 kV electric potential is uniform and the acceleration gap is only 1.5 mm to minimise magnetic field effects. Commercial devices are presently available in standard 18 mm or 25 mm diameter single channel versions. Prototypes have been made in which the diode is subdivided into pixels to make a cost effective multichannel device suitable for reading out fibre bundles corresponding to a number of calorimeter towers. High gain prototype pixel devices using avalanche photodiode targets are also under evaluation.

PFHPDs exhibit a gain that is linear with applied voltage,  2000 at 10 kV. In beam tests the gain has been measured to decrease by only 2% in an axial field of 3 T of the RD- 5 magnet [14]. The devices are linear to 2% over the required dynamic range and exhibit a fast response that is determined by the diode source capacitance. The outstanding questions for these devices are use of fibre optic windows, development of non-magnetic packaging, and reduction of the dark current to levels suitable for measurement of the DC current signal from the calibration sources and of the signal from a minimum ionising particle.

Semiconductor Avalanche Photodiode

Large area APDs are under intensive study for readout of the ECAL crystals. For HCAL, these photodetectors could meet the requirements of large dynamic range, operation in a 4 T magnetic field, and precision DC current capability. The device gain is lower than the hybrid photodiode option being only 50 - 100, but this is compensated in part by the higher quantum efficiency. Investigations are underway to determine whether the signal to noise and DC current measurement specifications can be met with these devices.

Several tens of these APDs have been acquired for beam tests. The issues of gain stability and sensitivity to neutron irradiation for these devices will be addressed in collaboration with the ECAL photodetector development group. APDs with associated preamplifiers are also under development in Moscow and Minsk. The characteristics of these photodetectors will be compared to the presently available commercial devices.

5.3.5 Front-End Electronics and Services

The electronic readout system of the HCAL is based on the CERN FERMI system (see Sect. 4.5.4). The dynamic range requirement (20 MeV to 2 TeV) is similar to that of the ECAL. The HCAL group intends to profit from the adaptation of the FERMI system for the ECAL.

Electronics boxes containing the decoder/mixer boxes, the photodetectors and associated HV supplies, as well as their preamplifiers and their low voltage distribution, will be distributed around the outer radius of the  = 1.5 transition region from barrel to endcap, close to the HCAL detector itself. The FERMI system will also reside in this region. They will be attached to either the barrel or the endcap and will be able to move along with their own sub-detector. Source driver boxes for both the endcap and the barrel also sit close to the coil in the  = 1.5 region. The barrel and endcap are serviced via the 100 mm gap between the two sub-detectors in the  = 1.5 region. This region also contains cables from the electromagnetic calorimeter and the tracking detectors.

Hadron calorimeter-related services include optical cables from the barrel and endcap megatiles, source tubes servicing each of the megatiles, and possibly quartz fibre bundles transmitting laser signals to each of the individual tiles of a megatile. The electronic boxes and source drivers are connected to the outside world via a cable path that snakes around the barrel to reach the outside centre of the detector.

5.3.6 Engineering Design

The layout of the chosen absorber material must be optimised for physics, mechanical strength and stability.

A thorough investigation will be made of the choice of absorber materials and their suitability in the design and manufacturing process in order to confirm the use of copper and electron beam welding. A test pyramid 0.5 m x 0.5 m in section, but having the full radial depth of the HB and the present segmentation, is being manufactured in industry.

The barrel engineering design must include:

1) For the barrel: a determination of the vertical sag of the assembled half-barrel as well as horizontal distortions under self supporting conditions, and a design of the assembly cradle which will also be used for lifting in the underground area and inserting into the coil vacuum tank.

2) For the endcap: a determination of the cantilever stresses and deflections of the assembled endcap as well as horizontal distortions under self supporting conditions.

3) For the barrel and endcap: a study of the individual wedge plate connections including the determination of the required depth of electron beam welding. The definition of the procedure for individual wedge handling during assembly including the determination of lifting points. A study of the half-barrel vertical assembly including the determination of the gap size for the top wedge. A study of the wedge-to-wedge connections.

The endcap will be assembled as a horizontal ring (not a vertical ring) on a back plate. The stresses of lifting the endcap into a vertical position will have to be studied.

Despite the use of non-magnetic materials, a fast discharge of the superconducting solenoid can produce large transient electrical and magnetic forces due to eddy currents in the absorber. The effect of these forces must be calculated and taken into account for the calorimeter structure and support system. To decrease the effect, the wedges will be insulated electrically from one another on a large fraction of their contact surfaces.

Other design items include cable routing layouts for both barrel and endcap, scintillator tray insertion/removal techniques for both barrel and endcap, assembly scheme layouts and tolerance studies.

5.3.7 Calibration and Monitoring

The uniformity of response must, to first order, be assured by the construction and quality control. Experience of CDF and SDC shows that the uniformity of the tile/fibre assembly can be maintained at the 10% level for a large scale production. The assembly can be monitored by radioactive source and by injecting light from UV lamps. Absolute calibration and linearity of the calorimeter will be established by exposing several modules to a hadron test beam. The calibration can be transported to the CMS detector using radioactive sources. Both the quality control function, and the transfer of test beam calibrations to other similar towers, require the incorporation of source tubes crossing every scintillating tile, as in the SDC design. It is assumed that maintenance access to the source tubes in most layers will be available only when the endcaps are withdrawn.

We do not intend to calibrate each wedge in a test beam. Instead, we intend to transfer the absolute calibration from a number of wedges exposed to a particle beam to all wedges using the radioactive source calibration. This scheme is currently under test.

Radioactive Sources

All layers of the hadron calorimeter will be equipped with thin stainless tubes (  = 1 mm) that will route radioactive sources throughout the system. This is a system similar to the one used by CDF and proposed by SDC. A wire with a point-like Cs source will be pushed through these tubes by a remotely controlled system of drivers. The DC current induced by the source traversing one tile of a tower will provide an accurate measurement of the response of the entire measuring chain. The experience of CDF shows that this measurement can be maintained at the level of 1%. Change of response due to photodetector or electronics will show up as a change of the response of all tiles of a given tower and can be compensated by an adjustment of the overall calibration factor. Change of response due to radiation damage will lead to a change of the measured current that is dependent on the depth of the layer.

In order for the moving radioactive source calibrations to be done periodically during collision runs, it will be important that the front-end electronics allow simultaneous digitisation of the DC current from the photodetector and of fast pulses, both beam-related and from laser light injection. Photodetectors with high leakage currents would compromise the ability to do the source calibrations.

The most convenient location of the source tube drivers is in the transition region between the barrel and endcap. However, this region is in the 4 T magnetic field and conventional driver motors may not work. Piezoelectric wave stepping motors may do the job, and even aircore conventional motors might work if the axle is aligned with the external field.

Laser Light Calibration System

A laser light system will be used to monitor the stability of the photodetectors and the associated electronics [20]. In addition, it will be used to monitor the linearity of the pulse height measurement chain and provide control of the timing of each channel. It will consist of a triggerable nitrogen laser, a system of neutral density filters covering an adequate dynamic range and a light distribution system delivering the UV light to scintillating tiles via quartz fibres. The intensity of the laser pulses will be monitored by directing a part of the light to a block of scintillator and measuring the resulting light pulses with a PIN diode. The rest of the light will go through a system of attenuating neutral density filters covering a dynamic range of four orders of magnitude to a cascade of distributor/commutator boxes. To achieve 1% calibration some 10000 photoelectrons must be detected. The total laser power requirement is   J taking into account the total number of towers, photodetector efficiency and allowing for reasonable losses of light in the distribution process.

Calibration Using Data

Suitably chosen calibration triggers can be used to monitor the overall stability and/or absolute energy scale of the hadron calorimeter. For example, minimum bias events can be utilised to maintain uniformity of response and to monitor its time stability. Photon/Z-jet triggers can be used to provide calibration and the absolute energy scale.

5.3.8 Simulation

A number of simulation programs had been developed to study the performance of the CMS hadron calorimeter and to optimise various parameters in its design. Those programs have been merged into a single framework, CMSIM-CMANA [10]. Showers in the hadron calorimeter are simulated by GEANT or by a fast code using parametrised showers.

For the GEANT shower simulation the geometry of the hadron calorimeter is modeled in detail, including major mechanical structure and cracks [11]. Shower particles are traced down to low energy, typically 1 MeV. This GEANT simulation provides information on shower profiles in the calorimeter and on the influence of the mechanical structure and cracks on the measured energy in the calorimeter. The initial Monte-Carlo studies of the proposed calorimeter layout suggest that, without energy weighting, in the barrel and in the endcap for single particles.

For the fast simulation all the particles, including leakage of shower particles from ECAL, are transported by GEANT to the front face of HCAL and then transferred to the fast shower simulation code [9]. The transverse and longitudinal shower profiles determined from test beam data are parametrised and used to simulate the energy deposit in read-out towers. The original shower code was developed for SDC and extensively used to optimise its calorimeter design [7,22].

Another fast shower simulation code has been developed based on the ALEPH parametrisation of the electromagnetic showers. Hadrons in showers are transported by GEANT in the same way as in full shower simulations, while energy deposit due to electrons, positrons and photons in the showers are simulated using the parametrisation code, if they are expected to be contained in the HCAL volume. This code, although slower than the code developed by SDC, is better able to account for the effects due to cracks and dead material in HCAL.

5.3.9 Radiation Damage

It is assumed that the integrated luminosity over the first ten years of LHC operation will be . The ten-year integrated dose is estimated to be 1 kGy (0.1 MRad) at the front of the HB. The maximum dose expected at a rapidity of 2.5 is estimated to be about 20 kGy (2 Mrad). It is known that up to 30% peak damage in the HCAL will not induce a constant term in the energy resolution which is unacceptable [3].

In common with most commercial polystyrene based scintillators, SCSN81 together with a K27 doped WLS fibre such as Kuraray Y11, suffers a light yield reduction of about 30% at 10 kGy (1 Mrad) and an unacceptable 70% at 50 kGy (5 Mrad). The baseline HCAL design uses this combination in the barrel region. In Table 5.1 the performance of this combination is compared with that of several other options.

Table 5.1
A comparison of the performance of various combinations of scintillator and WLS fibres.

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               WLS fibre    Light yield   Decay time   Light loss [%] for a given dose        
Scintillator                  (a. u.)         ns        1 Mrad   2 Mrad   5 Mrad    
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SCSN81*       Kuraray Y11        1            10           30       50       70  
SCSN81        G2 Kuraray         -             5            -       40        -
3HF(green)    O2 Kuraray       0.25           15           10       20       35
BC499-S2      Y11              1.7             -            -       35        -
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*Ukraina and PSM-115 scintillators and Y11 WLS fibre combinations give 
similar results as SCSN81/Y11 combination.

In the endcap region up to   2 either SCSN81 or Ukraina scintillator with Y11 doped fibre is used. Between 2.0 <   < 3.0 a green scintillator (3HF) with an orange WLS fibre (O2 - Kuraray) could be used. However the low number of photons, combined with the longer decay time constant and the instability of 3HF under illumination, make this a difficult choice. The new Bicron blue scintillator BC499-S2 together with double-clad Kuraray Y11 WLS fibre appears to be a promising combination for the region between 2.0 <   < 3.0. The scintillator produces 70% more photons than SCSN81 and shows a light yield loss of 35% at a dose of 50 kGy (5 Mrad).

The light yield in the endcap elements may turn out to be smaller than in the barrel. However, since most of the physics resides in transverse energy, the stochastic term in the resolution, which scales as , improves with decreasing angle. This effect will more than compensate for the loss in photoelectron statistics.

For the region 2.6 <   < 3.0 in the front-endcap ring, yearly re-masking and/or periodic replacement of the scintillator has to be envisaged.

An important consideration is the decay time of the scintillator/fibre combination. Typical decay times for blue scintillators with K27 doped fibres are about 10 ns. This means that after 25 ns about 30% of the photons are still to come. There exist newer fluors such as Bicron's G2 which when combined with a blue scintillator lead to a decay time of about 4 to 5 ns so that a much larger fraction (85%) of the light will be in the 25 ns interval. This fluor, in the liquid state, did not show any radiation damage at 1 MGy (100 Mrad). However the damage was worse, amounting to 40% at 20 kGy (2 Mrad), when used with SCSN81.

Radiation damage at low dose rates can be substantially worse than at high dose rates. A major effort is being made at the University of Michigan where some samples have already been irradiated for over one year. This will provide an indication of the damage that is expected over a ten-year period. Similar work has been started at the Institute of Nuclear Physics, Tashkent.

We will work with industry, and in Protvino and Kharkov, to produce radiation-hard blue scintillator and fast, radiation-hard WLS fibre by exploring different polymerisations of the plastic. A vigorous R&D programme is under way to get the best scintillator and fibre combination given that there are at least two years before a choice has to be made.

5.3.10 R&D Programme for 1995 and 1996

'Hanging File' Prototypes for Test-Beam Studies

Two reconfigurable copper/scintillator calorimeter modules are available for further evaluation and optimisation of the HCAL design and both will be exposed to test beams at CERN during 1995/96. Both allow the response of every scintillator layer to be separately recorded, so that the effects of varying the sampling fraction and longitudinal segmentation can be studied. Material representing the coil can be inserted to help determine the optimum design and the effective benefit of the tail catcher. Effects at the wedge boundaries and optimisation of the step can be investigated by inserting spacers between the copper plates. The first prototype is small enough to fit inside the RD- 5 magnet, which will allow the study of the response in fields up to 3 T. The second is large enough to provide full lateral containment of hadron showers. Integrated tests will be carried out using these units combined with ECAL and muon chamber prototype elements.

Active Elements

The effect of magnetic fields on the response of various scintillators will be measured. Since we expect to take data for ten years or more, we are concerned about the long term stability of any materials used in the construction. We will therefore set up a study of long term stability of new materials. This study will include accelerated ageing tests at elevated temperatures, effects of humidity and room lighting, and effects of various handling methods.

Radiation Damage Studies

We intend to pursue the development of radiation hard blue plastics and of faster and more radiation resistant green WLS fibres. If this development is successful the HF/O2 combination, which has a lower light output and larger decay time constant, can be replaced. Several new scintillators and WLS fibres will also be irradiated at various doses.

Another concern is the fluorescence decay time of the WLS dye. The O2 dye is about 8 ns slower than the K27 dye. Given the 25 ns bunch spacing, the reduced speed of the O2 dye is still an issue.

Photodetectors

Tests of only a few samples of the types of photodetectors described above have so far been carried out. 36 APDs were tested with lead tungstate crystals in 1994. Nine PFHPDs were used for the test of the prototype in the 3 T RD-5 magnet in 1994. After the beam tests these devices were extensively bench tested (e.g. linearity, dynamic range, etc.). The effect of radiation damage on their performance and more detailed studies in magnetic fields will be carried out. At present these devices have a high cost per channel. The volume production costs still have to be established. A multipixel capability has been developed by DEP to reduce the channel cost of PFHPDs. We intend to pursue this R&D vigorously.

Calibration and Monitoring

We intend to construct a source calibration system and evaluate its performance. In particular, we will check the correlation of the source calibration with the beam measurement. A prototype of a laser light calibration system will be constructed using 0.3 mm quartz fibres. A separate study will be performed to verify the radiation hardness of the quartz fibres up to doses of  30 kGy (3 Mrad).

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