Study on Energy Deposition in Ununiformality Simulation by Denys Klekots

Simulation study by Denys Klekots at Taras Shevchenko National University of Kyiv focuses on energy deposition in a detector with non-uniform distribution of primary hits. Results show a linear growth in error on energy measurement with non-uniformity and differences in efficiency maps between 1 GeV and 25 GeV gamma rays.

• Simulation Study
• Energy Deposition
• Non-uniformity
• Efficiency Maps
• Denys Klekots

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1. Ununiformality study Denys Klekots (Taras Shevchenko National University of Kyiv) denys.klekots@cern.ch denys.klekots@gmail.com 10.10.2024 Denys Klekots denys.klekots@cern.ch #

2. Quick recap The simulation gives the energy deposited in a strip for each simulated event. Each strip has the dimensions of 1x1x400 mm. There are 168 by 168 such strips in the detector. WLS fibres are located each 7 mm and the energy deposited in the strip that contains fibre is not recorded in the simulation output. 10.10.2024 Denys Klekots denys.klekots@cern.ch Denys Klekots denys.klekots@cern.ch # 2 10.10.2024

3. Simulation setup The position of the primary hit was quasi-uniformly distributed in the square between fibers. 7 mm y 7 mm x 2?? 7?? 2?? 7?? Fibers ? = 1 ?cos bcos The energy deposited in each strip was multiplied by the following weight 10.10.2024 Denys Klekots denys.klekots@cern.ch Denys Klekots denys.klekots@cern.ch # 3 10.10.2024

4. a = b = 7% Measured energy Histograms of event by event measured energy Gamma 25 GeV ? ?= 1,53% ? ?= 1% 10.10.2024 Denys Klekots denys.klekots@cern.ch Denys Klekots denys.klekots@cern.ch # 4 10.10.2024

5. Dependence of the efficiency on the amplitudes 25 GeV 10.10.2024 Denys Klekots denys.klekots@cern.ch Denys Klekots denys.klekots@cern.ch # 5 10.10.2024

6. Dependence of the efficiency on the amplitudes 1 GeV 10.10.2024 Denys Klekots denys.klekots@cern.ch Denys Klekots denys.klekots@cern.ch # 6 10.10.2024

7. Efficiency maps 25 GeV 1 GeV 10.10.2024 Denys Klekots denys.klekots@cern.ch Denys Klekots denys.klekots@cern.ch # 10.10.2024 7

8. Conclusions The constant term error on energy measurement grows about linearly with the non-uniformity The efficiency maps are very similar /E is worse for 1 GeV gammas compared to 25 GeV 10.10.2024 Denys Klekots denys.klekots@cern.ch Denys Klekots denys.klekots@cern.ch # 8 10.10.2024

9. Thank you for your attention 10.10.2024 Denys Klekots denys.klekots@cern.ch #

10. Backup slides 10.10.2024 Denys Klekots denys.klekots@cern.ch #

11. Resolution: constant term simulation. Quick recap 2 ? The energy accuracy of ECAL is usually parametrized as constant term usually caused by leakage or non uniformity. + ?2. Where y is the ? Simulation is held in the box volume with dimensions 168 x 168 * 400 mm. Volume is simulated as with one material: 4.53 1.19 liquid ? ??3(partial density) of ZnWO4 ? ??3(partial density) of heavy 10.10.2024 Denys Klekots denys.klekots@cern.ch Denys Klekots denys.klekots@cern.ch # 11 10.10.2024

12. Simulated detector Geant4 simulation was made to calculate the energy detection ununiformality. The simulated primary gamma (25 GeV in this presentation) hit the top face of the detector. The fibers were simulated inside the detector. The distance between fibers is 7 mm. Fibers are cylinders of diameter equal to 1. The detector was virtually split into strips with dimensions of 1 mm by 1 mm by 400 mm. 10.10.2024 Denys Klekots denys.klekots@cern.ch Denys Klekots denys.klekots@cern.ch # 12 10.10.2024

13. Energy deposition in strips The plot shows energy mean deposition in strips over 1000 events. The energy deposition of strips containing fibers was omitted (as there is no scintillation in fibers). 10.10.2024 Denys Klekots denys.klekots@cern.ch Denys Klekots denys.klekots@cern.ch # 13 10.10.2024

14. Weights of the strips The energy deposited in each strip was multiplied by the weight. a = b = 7% The weight was estimated from others studied. This approach takes into account that light collection efficiency is different for different strips. 10.10.2024 Denys Klekots denys.klekots@cern.ch Denys Klekots denys.klekots@cern.ch # 14 10.10.2024

15. Energy deposition histogram. The histogram shows the energy deposited in the calorimeter, after encountering strip weights and excluding energy deposited in fiber strips. The particles were shot nearly randomly in the cube with dimensions 7 by 7 mm. 10.10.2024 Denys Klekots denys.klekots@cern.ch Denys Klekots denys.klekots@cern.ch # 15 10.10.2024

16. Efficiency map Each bin of the histogram represents the mean (over 1000 events) energy that was deposited if the primary hit was in this specific bin. The histogram is rescaled in such a way that its mean value is equal to 1. 10.10.2024 Denys Klekots denys.klekots@cern.ch Denys Klekots denys.klekots@cern.ch # 16 10.10.2024

17. Geant4 simulation setup Simulation is held in the box volume with dimensions 168 x 168 * 400 mm. Volume is simulated as with one material: 4.53 1.19 ? ??3(partial density) of ZnWO4 ? ??3(partial density) of heavy liquid Projectile particle energy - deposited energy = escaped energy escaped energy The sum of energy of escaped particles 10.10.2024 Denys Klekots denys.klekots@cern.ch Denys Klekots denys.klekots@cern.ch # 17 10.10.2024