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Analysis of MIP Response: Resolution, Linearity, and Energy Calibration by Layer

This document provides a comprehensive study on Minimum Ionizing Particle (MIP) responses across various energy levels (6, 10, 30, 50, 70, 100, 120, 150, 180, 210, 250 GeV). Key aspects include attenuation effects, energy resolution, and the relationship between Landau and Gaussian distributions. It also examines selection criteria for loose and tight MIP samples and their respective contributions to energy calibration. The document includes a comparison of ADC to GeV conversions, layer by layer energy resolution, and a detailed analysis of underlying physical interactions impacting measurement accuracy.

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Analysis of MIP Response: Resolution, Linearity, and Energy Calibration by Layer

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  1. Mip • Resolution/Linearity/Long. Profile/X0 • Attenuation

  2. MIP • Loose Selection • Etot_adc_high < 1500 • Tight Selection • Etot_adc_high < 1000 • Elayer_adc_high <100 • Special Selection Etot_adc_high

  3. Fit • Landau  Gaussian + exponential background • Mip is given by the MPV of the Landau function • Meaning of • Landau/ Gaussian Width • would like to relate one to the single channel resolution

  4. Illustration of the 3 selections

  5. Comparison All methods Delta = ~ 1adc Special Loose Tight Zuhao Sylvie

  6. Average Mip Per Layer

  7. Energy Resolution • Lists of Runs • 6 Gev : 386,387 • 10 GeV : 427,381,453,557, • 30 GeV : 356 • 50 GeV : 392 • 70 GeV : 396 • 100 GeV : 397 • 120 GeV : 414,418,419 • 150 GeV : 401,517 • 180 GeV : 405 • 210 GeV : 395,407,408 • 250 GeV : 394,393,410 • Position (~ center of cell) • Xtab = - 2.7 mm • Ytab = + 2.7 mm

  8. MIP from Loose Selection • Gain : • protons • 10, 30 and 150 GeV • Gaussian Fit of high_gain/low_gain Detailed studies: Stefano & Sylvie

  9. Election Identification • Some Energy largely polluted by hadrons (6 GeV and 10 GeV) • Selection on the Shape : • E9x/E25x and E9y/E25y • Widthx and Widthy • multiplicity

  10. Electron ID (con’t) 6GeV 30GeV

  11. 1rst Iteration of Position Correction 30 GeV Electrons Y • Approximate ADC to GeV conversion using 6 GeV (minimal leakage) • Color : Etot_mean / E_beam (i.e red ~ 1) • Idem for all 11 energies • → Average correction depending on barycenter position (10 * 10 bins) X bary ( 0 > cell center)

  12. Leakage Correction • Approximate GeV Conversion using: • 6 GeV/Etot_adc. = 2225. • Vitaly & Loic ’s method • Ebeam/Erec = f( E_layer17/Erec) • f : 1st degree polynomial → slope, const per energy • mean slope / mean cons Example @ 30 GeV

  13. Ebeam/Erec = f((E_lay16+E_lay17)/Erec ) • to be compared with E_lay17/Erec • Combine all Beam energies in the same plot • Fit one slope and one constant

  14. Linearity and Resolution • No selection according to position • Same treatment @ all energies’ • NB : better if cut on xbary & ybary

  15. S. Rosier 6 GeV

  16. S. Rosier 70 GeV

  17. S. Rosier 210 GeV

  18. S. Rosier X0=1.07 lu => 17.2 X0 pour le calo

  19. Attenuation • Mip • protons scan in X and Y • position is given by the table coordinate • all layers • Electrons Scan in X and Y • 10 GeV,30 GeV (and 150 GeV) • position is given : • Case 1 : by the table (easier) • Case 2 : by the tracker …. • central layers • Hypothesis • attenuation identical for all cells • combined fit • PM 17/18 • > Cell 34 to 37

  20. Example of Mip Variation along X/Y Close to PM Far to PM

  21. Idem Layer 16

  22. Example of Mip Evolution The line is to guide the eyes … mm (Table position)

  23. Electrons (case1) PM 17 } cell 34+cell35 Beam • Idem in X and Y • 10 GeV > high gain • 30 GeV & 150 GeV > low gain • Dynode signal also used • Case where the position is given by the (relative) table position

  24. Electrons (Case 1) Fit : Gaussian + Exponential background

  25. Example of Distribution (case 1) Dynode Anode

  26. Combined Fit • 3 parameters • Frac, Fast, Slow • N amplitudes • Electrons • pos < 2 cm from edges not used

  27. Attenuation Results Δ(black-red) • Black : 10 & 30 GeV – table position • Red : idem – xytracker • Green : Mip only • Blue : Mip , 10 & 30 GeV • Yellow : idem + 150 GeV electrons

  28. Ytracker vs Ycoo ladder 0/ zoom ladder 1 ytracker • xcoo = 9.1 xbary – 311.5 • ycoo = 9.1 ybary – 316.5 ladder 2 ycoo

  29. Fold ycoo wrt to Table displacement • ycoo = ycoo +ΔTable • Restrict ycoo to the center of the cell (better measurement) • “same beam” • ytracker = P1*ycell + P0 • idem for the 3 ladders • mean

  30. Final adjustement Final P1 / 648 mm P0 • We have now a Y position independent of the calorimeter

  31. Xtracker : idem but more complicated

  32. Back to Attenuation () • 10 GeV and 30 GeV electrons • E_Layer (anode/dynode) vs x-ytracker

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