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Beam test -Dec 2005-

This document details the analysis conducted by Nobuhiro Tani regarding the APV resolution and event matching at Tohoku University as of December 2005. It presents results from various entries, including APV resolution assessments with parameters χ² and associated standard deviations (σAPV), detailing clustering processes, alignment techniques, and methods for determining cluster sets and tracking efficiency. The findings aim to enhance the understanding of resolution and accuracy in tracking systems using a rigorous statistical approach.

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Beam test -Dec 2005-

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  1. Beam test -Dec 2005- Tohoku university Nobuhiro Tani 20 September 2006

  2. APV resolution & entry : χ2<∞ • σAPV = 11.51mm , 13.94mm • entry(χ2<∞) VA1:86365 event

  3. APV resolution & entry χ2<3 • σAPV = 11.93 , 13.79 • entry(χ2<3) VA1:64496

  4. APV resolution & entry χ2<1 • σAPV = 11.64 , 12.90 • entry(χ2<1) VA1:31525

  5. process • VA1 , APV clustering • event matching • tracking (determine a cluster set) • alignment DSSD-B(rotation , parallel shift) get σVA1 • χ2 < 1,2,3,…cut • find APV hit & alginment • analysis-> get σAPV(誤差伝播とσresidualから)

  6. finding cluster candidates max max • cluster width ≦ 1,2,3,… max red:S/N>5 , blue:S/N>3

  7. tracking in all possible track (VA1) find a minimum-χ2(XorY)track → define a proper pair of clusters … cluster set χ2 X-Xt最小 →X=AxZ+Bx χ2 Y-Yt最小 →Y=AyZ+By

  8. alignment(VA1 system) B C A A(Xa,Ya) Bt(Xt,Yt) C(Xc,Yc) B(Xb,Yb) Track a×Z+ｂ defined cluster set alignment parameter: rotation : -1.48mrad shift : (x,y) = (-188μ,-220μ)

  9. get χ2 • alignment → get χ2 → χ2 cut 一番近いcluster(APV)をAPVのhitとする →alignment (hit を見つけてからalignmentは良くないかもしれない) alignment parameter: lower rot : -11.2mrad shift : y = -1251μ upper rot: -1.80mrad shift : y = -59.0μ

  10. χ2 distribution

  11. analysis (plan) • efficiencyを求めるため 「APV hitのsearch 範囲( ?σAPV )」を用いる (residual ＜?σのAPV entry) / (当たるtrack) • VA1 のwidthでefficiency,resolutionをscan • b.g. evaluation

  12. b.g. evaluation

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