CALICE Test Beam Data and Hadronic Shower Models

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EUDET CALICE Test Beam Data and Hadronic Shower Models Riccardo Fabbri on behalf of the CALICE Collaboration FLC, DESY, Notkestrasse 85, 67 Hamburg, Germany Email: Riccardo.Fabbri@desy.de January 1, 1 Abstract The CALICE collaboration has constructed a hadronic sandwich calorimeter prototype with 768 scintillating plates, individually read out by multipixel silicon photomultipliers (SiPMs). For the first time ever the readout is performed using SiPMs on a large scale. Results of test beam operations with muon, positron and hadron beams at CERN are presented here, validating the feasibility of the novel SiPM technology. The detector calibration is presented, as well as preliminary results on the application of software compensation for the measurement of the energy resolution. The analysis of hadron shower development in the calorimeter using both and Monte Carlo simulations is reviewed.

1 Introduction The CALICE collaboration [1] is performing calorimeter development aiming to fulfill the hardware and physics demands of the International Linear Collider physics program []. The ambitious required jet energy precision (3%/ E[GeV ]) could be achieved with extremely segmented calorimeters using the particle flow approach []. The CALICE analogue hadron calorimeter prototype (AHCAL) is a 38 layer sampling calorimeter with 1 m lateral dimension, and total thickness of.5 nuclear interaction lengths. Each layer consists of cm thick steel absorber and a plane of.5 cm thick plastic scintillator tiles. The tile sizes vary from 3x3 cm in the center of the layer, to 6x6 cm and 1x1 cm in the outer regions, providing in total 768 readout channels for the entire calorimeter. Each tile is coupled to a silicon photomultiplier (SiPM) via a wavelength shifting fiber. Together with the CALICE silicontungsten electromagnetic calorimeter (ECAL) and the CALICE tailcatcher and muon tracker (TCMT), the AHCAL was exposed to muon, electron/positron and hadron beams at the test beam line at CERN and FERMILAB in 67 and 8, respectively. In 89 combined operations were additionally performed using a different technology for the electromagnetic calorimeter, the scintillatortungsten ECAL. A typical test beam setup for the combined operations is presented in Fig. 1. The silicontungsten ECAL will be again used in test beam operations planned in 1 along with a digital hadronic calorimeter and the TCMT. The results of the 7 CERN analysis are presented in this note. Calorimeter calibration The SiPM device (produced by MEPhI/Pulsar) is a multipixel (1156 pixels) avalanche photodiode which provides a signal gain factor of approximately 1 6. The gain of each Figure 1: Typical test beam setup for the combined operations of the detectors ECAL, HCAL and TCMT.

SiPM is monitored via dedicated measurements during test beam taking, illuminating the device with low intensity LED light [3]. During the extensive test beam operations at CERN a gain calibration for 97% of the channels was extracted, confirming the stable and high performance of SiPMs in a large scale calorimeter. The energy deposited by a particle in the scintillating plate is read out by the SiPM, and converted into ADC units. The energy calibration was performed measuring the response to the passage of minimum ionising particles (), using muons as s. The muon signal deposited in a tile was fitted with a Gaussian convoluted with a Landau distribution, and the most probable value of the distribution was assumed to be one MIP unit, corresponding to.861 MeV, as obtained with Monte Carlo simulations []. The systematic uncertainty on the energy calibration due to the intrinsic shortterm operational variations of the detector properties was found to be approximately 3%. In the analysis, the rejection of hits with energy below.5 MIP results in a hit detection efficiency of about 95% [5]. Due to the limited number of pixels and to the finite pixel recovery time (> 1 ns), SiPMs are non linear devices. The reconstructed energy is corrected for nonlinearity effects using response curves, measured individually for every SiPM [6]. SiPMs are temperature dependent devices. Therefore, a temperature monitoring system was implemented to measure and correct for the single pixel gain, and for the amplitude temperature dependence. The slope of the temperature dependence of the SiPM gain G and of the SiPM response A to a, averaged over all channels, was found to be 1 d G = 1.7 % and 1 d A = 3.7 % [7], respectively. G dt K A dt K 3 AHCAL response to positron showers Being the description of underlying physics reasonably understood, Monte Carlo (MC) simulation of electromagnetic showers in the detector can be compared to the to validate the calibration procedure, and to validate the detector effects introduced in the Monte Carlo simulation (digitisation). After applying all the calibrations described above, the detector response to electromagnetic showers is measured at different beam energy values. The residuals to the linear fit to the is shown in the upper panel of Fig.. Within both statistical and systematical uncertainties, the reconstructed response is linear up to 3 GeV beam energy. Superimposed to the the MC prediction is also shown. The energy resolution is shown in the lower panel of Fig., and compared with simulations with and without the inclusion of detector effects. The smearing effects included in the simulation improve the agreement, although the still have systematically larger values than what is predicted by the simulations. This can be possibly understood considering that not all the calibration uncertainties have been included in the MC yet. Their inclusion should result in larger values of the simulated resolution. 3

Residual to linearity [%] 6 8 Digitized MC Positron systematic uncertainty 1 3 5 Beam energy [GeV] σ E/ E.8.7.6 Positron Digitized MC true MC systematic uncertainty.5..3. 1 3 5 Beam energy [GeV] Figure : The residuals to the linear fit performed to the detector response to electromagnetic showers (upper panel), and the energy resolution to electromagnetic showers (bottom panel) are shown for both the and MC. The largest contribution to the systematical uncertainty is given by the calibration uncertainties on both the MIP energy determination and the nonlinearity effects correction. Analysis of pion The understanding of electromagnetic showers in the AHCAL was shown to be reasonable for a preliminary analysis of hadronic showers. The high segmentation and granularity of the AHCAL calorimeter allows the investigation of the longitudinal and lateral shower profiles with unprecedent precision. The fluctuations in hadronic shower development are larger than what is observed in electromagnetic showers. The high longitudinal segmentation of the AHCAL allows to

# events 1 3 1 1 scale 8.768 ±.5 1 λ.8858 ±.9 scale 8.735 ±.8 1 λ.8581 ±.6 simulation fit to sim fit to 1 π 8 GeV 6 8 1 1 z [λ I ] Figure 3: The exponential distribution of the first nuclear interaction in showers is measured versus the nuclear interaction length for 8 GeV π mesons, and compared with MC simulations using the physics model list. The shown here were collected in 7, combining the information from both the AHCAL and TCMT devices rotated at 3 o with respect to the beam. The ECAL was removed from the beam line. localise the shower starting point. An exponential fit to the distribution of the first interaction of showers as a function of the distance z (in units of nuclear interaction length λ I ) from the start of the calorimeter was performed, and the interaction length for π mesons was extracted [8], Fig. 3. The effects of investigating the hadronic shower development with respect to the shower starting point are clearly evident in the analysis of longitudinal shower profiles, where the event by event fluctuation of the shower start position can be corrected for, Fig. [9]. Knowing the energy of the impinging meson beam, the effects of longitudinal energy leakage in the shower development was measured for different values of the beam energy, Fig. 5 [9]. 5 Investigation of hadron Showers Different Monte Carlo physics model lists are available in the GEANT software package [1], and provide different predictions for the hadronic shower development, which can be constrained, in principle, by the precise results of the AHCAL. Hadron showers were investigated with unprecedented precision, and the agreement between and Monte Carlo was found to be within %. Discrepancies were spotted depending on the model, impinging beam energy, and on the analysed observable. 5

energy per event [MIP] 1 π from start of shower from start of calorimeter 1 GeV 6 8 1 Figure : The longitudinal shower profile for a 1 GeV π impinging meson beam is reconstructed in nuclear interaction length units with respect to the calorimeter and to the shower start location (filled and empty markers, respectively). The shown here were collected in 7, combining the information from both the AHCAL and TCMT devices rotated at 3 o with respect to the beam. The ECAL was removed from the beam line. λ response [GeV] 15 1 5.5 1 1.5.5 3 3.5.5 shower start [λ] Figure 5: The shower longitudinal leakage is measured for different energy values of the impinging π beam (8, 1, 1, 15, and GeV, from top to bottom sets). The shown here were collected in 7, combining the information from both the AHCAL and TCMT devices rotated at 3 o with respect to the beam. The ECAL was removed from the beam line. 6

event cm event cm 5 3 1 3 1 3 1 3 1 1 GeV π 8.3 5 1 + 8 GeV π 8.3 5 1 Figure 6: Longitudinal hadron shower profiles presented for 1 (upper panel) and 8 (lower panel) GeV π meson beams. The shown here were collected in 7, combining the information from both the AHCAL and TCMT devices rotated at 3 o with respect to the beam. The ECAL was removed from the beam line. Superimposed to the are shown GEANT based simulations. The longitudinal profile (measured with respect to the shower starting point) is presented in Fig. 6 for 1 and 8 GeV π meson beams [11]. Superimposed to the are simulations performed using several physics model lists. Typically models predict higher density in the shower maximum and lower density in the tails. The lateral shower profiles were also investigated, and the density of the deposited (visible) energy was measured in the AHCAL with respect to the primary track for 7

/event] Energy density [MIPs/mm 1 1 1 1 3 1 1 π, CERN 7 15 GeV 18 GeV GeV 5 GeV GeV 5 GeV 8 GeV 5 1 1 3 Radial coordinate [mm] Figure 7: The lateral energy deposition is measured in the AHCAL for different values of the π meson beam energy. /event] Energy density [MIPs/mm 1 1 1 1 1 3 1 CERN 7, 8 GeV π Data /event] Energy density [MIPs/mm 1 1 1 1 1 3 1 CERN 7, 8 GeV π Data QGSC_QGSC QGSC_BERT QGSC_BIC 5 1 5 1 15 5 3 35 5 Radial coordinate [mm] 5 1 5 1 15 5 3 35 5 Radial coordinate [mm] Figure 8: Simulations of the lateral energy deposition of hadron showers are compared in the AHCAL with the for 8 GeV π meson beam energy. different test beam energies [1]. The results, presented in Fig. 7 for only, show a weak dependency of the on the beam energy. Simulations are compared with the in Fig. 8 for a 8 GeV π meson beam, typically undershooting the in the radial tail of profiles [1]. Typically models predict lower in the shower lateral tails. Among the several investigated physics model lists, the QGSP CHIPS list (which in average generates more neutrons than the other 8

lists) appears to provide the worst description of the. However, the implementation of that model list in GEANT is still under development, and a definitive conclusion cannot be drawn at the moment. For each event, the lateral shower radius can be measured by weighting the coordinates of the firing hits in one event with their corresponding visible energy. The mean of the distribution of the extracted values of the radius is presented in Fig. 9 for different energies of impinging π mesons [1], for both and Monte Carlo simulations. Predictions are typically lower than the. The high segmentation and granularity of the AHCAL allows the investigation of the longitudinal shower development in different bins of the radial profiles. Examples of this analysis [11] are presented in Fig. 1 and Fig. 11 for 1 and 8 GeV π meson beams, and for the radial bins < ρ 6 cm, 6 < ρ 1 cm, 1 < ρ 18 cm, and 18 < ρ cm. Typically models predict higher in the shower core, while a better agreement is observed at relative large radial distances (for low beam energy). 6 Conclusions In this note the results of the successful CALICE taking at CERN in 7 were presented. The results verify the stable and high performance of SiPMs in a large scale calorimeter. The calibration procedure to establish the electromagnetic energy scale was described. The high segmentation and granularity of the calorimeter allowed the investigation of the longitudinal and lateral hadron shower profiles with unprecedent precision, thus providing possible constraints for Monte Carlo models. The analysis of the CALICE is on going (also including the ECAL, and the lower beam energy FERMILAB ) with the prospective to provide a detailed quantitative description of the hadron shower development. 7 Acknowledgement This work is supported by the Commission of the European Communities under the 6th Framework Programme Structuring the European Research Area, contract number RII3616. References [1] https://twiki.cern.ch/twiki/bin/view/calice/webhome. [] J. Brau et al., International Linear Collider Reference Design Report, ILCREPORT71 (7). [3] N. Wattimena, DESYTHESIS639. [] N. D Ascenzo, DESYTHESIS9. [5] F. Sefkow, Proc. of The International Workshop on new PhotonDetectors (Kobe, Japan, 7), PoS(PD7)3. 9

Mean shower radius [mm] 1 95 9 85 8 75 7 65 π, CERN 7 Data Mean shower radius [mm] Mean shower radius [mm] 6 55 5 1 3 5 6 7 8 Beam energy [GeV] 1 95 9 85 8 75 7 65 6 55 π, CERN 7 Data QGSC_QGSC QGSC_BERT QGSC_BIC 5 1 3 5 6 7 8 Beam energy [GeV] 1 95 9 85 8 75 7 65 6 55 π, CERN 7 Data FTFP_BERT 5 1 3 5 6 7 8 Beam energy [GeV] Figure 9: The mean shower radius, calculated as described in the text, is presented for different energies of the π meson beam, and is compared with GEANT based simulations. The shown here were collected in 7, using only the information from AHCAL. 1

cm event 5 15 1 5 1 GeV π 8.3 5 1 event cm 15 1 5 + 8 GeV π 8.3 5 1 1 GeV π 8.3 + 8 GeV π 8.3 cm event 8 6 5 1 cm event 3 1 5 1 Figure 1: The longitudinal hadron shower profile is presented for the 1 GeV π (left panels) and the 8 GeV π + (right panels) meson beam in the radial bins < ρ < 6 cm and 6 < ρ < 1 cm (upper and lower panel, respectively). The shown here were collected in 7, combining the information from both the AHCAL and TCMT devices rotated at 3 o with respect to the beam. The ECAL was removed from the beam line. Superimposed to the are shown GEANT based simulations. [6] N. Wattimena (for the CALICE Collaboration), Proc. of International School of Subnuclear Physics ISSP7 (Erice, Italy, 7). [7] N. Feege, DESYTHESIS85. [8] CALICE Collaboration, CAN11 (7). [9] B. Lutz (for the CALICE Collaboration), Proc. of the 8 IEEE Nuclear Science Symposium (Dresden, Germany, 8). [1] J. Apostolakis et al., CERNLCGAPP7. 11

1 GeV π 8.3 + 8 GeV π 8.3 cm event 3 1 5 1 cm event 1 8 6 5 1 1 GeV π 8.3 + 8 GeV π 8.3 event cm 1.5 1.5 5 1 cm event 6 5 1 Figure 11: The longitudinal hadron shower profile is presented for the 1 GeV π (left panels) and the 8 GeV π + (right panels) meson beam in the radial bins 1 < ρ < 18 cm and 18 < ρ < cm (upper and lower panel, respectively). The shown here were collected in 7, combining the information from both the AHCAL and TCMT devices rotated at 3 o with respect to the beam. The ECAL was removed from the beam line. Superimposed to the are shown GEANT based simulations. [11] CALICE Collaboration, CAN11d (9). [1] CALICE Collaboration, CAN11e (9). 1