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Ideal dE/dx measurement

2D(3D?) cluster counting with GEMs and small pads: the digital TPC? or how to measure dE/dx without measuring charges. Ideal dE/dx measurement. Count number of clusters along track cluster density should be proportional to dE/dx Obvious problem:

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Ideal dE/dx measurement

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  1. 2D(3D?) cluster counting with GEMs and small pads:the digital TPC? orhow to measure dE/dx without measuring charges

  2. Ideal dE/dx measurement • Count number of clusters along track • cluster density should be proportional to dE/dx • Obvious problem: • cluster density is high (20 - 30 clusters/cm in Ar mixtures for m.i.p.) = 1 cluster per 300 - 500 ìm • need device with high granularity to resolve them in space • Other problem: • Clusters sometimes have more than one electron: 1 el. 82.4 % 2 el. 6.9 % 3 el 2.0 % 10 el. 0.64 % 100 el. 0.0014 % (TESLA-TPC, Ar/CH4/CO2, 93/5/2, calculation by HEED) how to avoid counting individual electrons of multi-electron clusters?

  3. Classic dE/dx measurement • Widely used (because counting is difficult): • measure charge over some track length (sampling length) • "average" charge of many samples = dE/dx • Charge measurement requires: • electronics with good charge resolution, e.g. 8 bit or more • stable gain!!! • physics needs ÄG/G < 1/10 ó(dE/dx)/dE/dx (better < 1/20) • some algorithm to remove unwanted multi-electron clusters (delta electrons) • commonly used: truncated mean, remove a fixed fraction of highest charge measurements, typically 20-30%, robust < 0.5% (better < 0.2%) overall gain stability

  4. dE/dx with GEMs • GEMs (Gas Electron Multiplier) + pads (typical size 5-10 mm) are suggested as possible TPC-readout device • Nice detector for tracking, what about dE/dx? • Problem: GEMs show gas gain variations • local variations over the surface (static) • could make calibrations more complicated, not a problem in principle • time dependent (dynamic) variations due to charge-up effects • difficult to control and to calibrate, depend on background, might vary within a bunch train

  5. GEM gain variations local gain variations: dynamic gain variations: COMPASS GEMs C. Altunbas et al., CERN-EP 2002-008 M. Hamann et al.(DESY/Univ. Hamburg) • 10% local gain variations • 20-30% dynamic gain variations

  6. Cluster Counting • Direct cluster counting avoids any problems with gas gain instabilities • In theory  ultimate way to get dE/dx • 30 clusters/cm * 120 cm track length = 3600 clusters = 1.7% dE/dx resolution (TESLA-TDR: 4-4.5%) • Not a brand new idea: • previous attempts tried to resolve clusters in time: • slow gas / drift velocity (e.g. CO2) + good time and multi-hit resolution, worked in lab + prototype detectors, never used in real big detectors for physics • Now (that's new): • micro-pattern devices + small pads = high granularity could make it possible to resolve them in space (2D), if time could be added  even 3D(?) • need only 1-bit "ADC"

  7. Could it work? • Simulation study made: • generate clusters/electrons (also long range delta electrons using HEED (by I. Smirnov), take gas parameters (diffusion etc.) from MAGBOLTZ (by S. Biagi) • track electrons through TPC volume, squeeze them through GEM holes, apply gas gain (use Polya distribution for fluctuations) • track all electrons created in gas amplification to a pad plane (including diffusion, ódiffusion = 135 ìm over 2 mm) • collect electrons on pads, allow 5% losses in gaps, add noise (200 el. R.M.S. per pad, optimistic?) • apply threshold (1500 el.) and simply count number of pads above threshold = clusters(?) • very CPU time consuming, need 50 Mill. electrons per full TPC track

  8. Generated Electrons HEED calculation Track (clusters) some delta-electron TPC frame (sideview) GEM plane

  9. Generated Electrons (close view) 65 keV delta-electron no diffusion with diffusion (ódiff,trans. = 1.1 mm, ódiff,long. = 4.4 mm for 250 cm drift and 4 T)

  10. Pad view (xy plane) multi-electron cluster pads (500 x 500 ìm2) above threshold (1500 e-) single electrons at GEM plane

  11. Questions • Counting with small pads seems to work • Some questions to answer: • optimal pad size? • large pads: clusters can't be resolved • small pads: (too) many channels (cost!), bad signal/noise ratio • noise? • need low threshold to count a single electron after gas amplification on a single small pad • diffusion? • at large drift length (up to 250 cm at TESLA-TPC), multi-electron clusters are spread by diffusion, individual electrons appear and are counted again, not clusters

  12. Counts vs Pad Size m.i.p., 0.6 GeV pions high E tracks, 1000 GeV pions (Fermi plateau)

  13. Separation Power classic dE/dx by charge measurement + truncated mean, 2.1 ó separation simple pad counting, 2.1 ó separation

  14. Conclusions I • Separation power with cluster counting as good as classic dE/dx by charge + truncated mean... • ...but not better! (Factor 2 improvement expected) • Need to match: average distance between clusters (375 ìm for m.i.p.) pad size (noise  cost) diffusion spread (1.1 mm for 250 cm drift) • Doesn't fit together for TESLA-TPC, too much diffusion! • Electrons from multi-electron clusters dissolve and are individually counted (instead of clusters)

  15. Conclusions II • Cluster counting better than classic dE/dx by charge needs: • gas with low ionisation • large distance between clusters • low probability for multi-electron clusters • low diffusion • either low diffusion gas or • short drift length • pad sizes • Helium(Neon?) mixtures could be a possible candidate for successful cluster counting

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