HyCal Physics Calibration – Non-Linearity · HyCal Physics Calibration – Non-Linearity θ (deg)...
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HyCal Physics Calibration – Non-Linearity (deg) θ 0 1 2 3 4 5 6 7 E (MeV) 0 200 400 600 800 1000 1200 1400 1 10 2 10 3 10 θ Cluster E vs Scattering Angle Calibrate to ee 1.1 GeV • A linear calorimeter has a constant response (average signal per unit of deposited energy) • Electromagnetic calorimeters are in general linear, if not linear might due to instrumental effects (saturation, leakage…) (see www.roma1.infn.it/people/bini/seminars.lecture2.pdf) • But this is not the case for HyCal, we need the non-linearity correction in order to have unbiased distribution for ee and ep at the same time 1 (deg) θ 0 1 2 3 4 5 6 7 E (MeV) 0 200 400 600 800 1000 1200 1400 1 10 2 10 3 10 θ Cluster E vs Scattering Angle Calibrate to ep 1.1GeV
Transcript of HyCal Physics Calibration – Non-Linearity · HyCal Physics Calibration – Non-Linearity θ (deg)...
HyCalPhysicsCalibration– Non-Linearity
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• Alinearcalorimeterhasaconstantresponse(averagesignalperunitofdepositedenergy)• Electromagneticcalorimetersareingenerallinear,ifnotlinearmightduetoinstrumentaleffects
(saturation,leakage…)(seewww.roma1.infn.it/people/bini/seminars.lecture2.pdf)• ButthisisnotthecaseforHyCal,weneedthenon-linearitycorrectioninordertohaveunbiased
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HowtoDealWiththeNon-LinearityProblem• MethodI:Parameterizationfunctions
• UsingParameterizationfunctiontodescribethenon-linearitybehavior• Requireratheruniformnon-linearitybehaviorforallmodules• Mayneedmultipleparameterizationfunctions(LG,PWO,transitionnon-linearitybehaviornotthesame)
• Ilya hasshownthatitworksforPWOpartat2.2GeVinthecollaborationmeeting• Mightnotworkwellifnon-linearitybehaviorishighlylocalized
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SeeIlya’s slides forthecollaborationmeeting
UsingParameterizationFunctions
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Moller Calibration Energy (MeV)0 200 400 600 800 1000
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Ilya’s non-linearity constants fromsnakerun
• Calibratetoee,andobservethedeviationoftheeppeakfromexpectedvalue
• Smooth curve forPWO,falloffnearLGandtransition
• Highlylocalizednon-linearitybehavior observed fromsnake
1.1Gev
• MethodII:Obtainnon-linearityconstantmodulebymodule• Foreachmodule,obtaintwocalibrationconstants,onefromepandtheotherfromee• Similartowhatwedidwiththesnakerun,foreachmodule:
• Ecali isthecalibrationenergythatweusedtocalibratethemodule,Erecon isthereconstructedenergyonthismodule,alphaisthenon-linearityconstant
• Forphysicscalibration,weonlyhavetwopointsforeachmodule,onefromee andtheotherfromep
• Oneofthetwopointsneedtobeusedasthecalibrationenergy,sowearebasicallysolvingequation,notevenfitting
• Thisdoesn’tworkifthemoduleismissingoneofthetwopoints(happenquiteoftennearedgeandcorner)
• Currently,Ihavetwosetsofcalibrationconstantsforrun1288~1345,eachafter5iterations
HowtoDealWiththeNon-LinearityProblem
𝐸/011 =𝐸34506
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• Erecon/Eexpect veryclosetotheratiobetweenthetwocalibrationconstans• Erecon andEcali obtainedfromfittingenergydistributionofeachmodule
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𝛼 =
𝐸34506𝐸@AB45C
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ee_energy0575Entries 58403Mean 135.6RMS 32.27
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ee_energy0575Entries 58403Mean 135.6RMS 32.27
ee_energy0575ep_energy0575
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CompareNon-linearityConstants
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ApplyingtheNon-linearityConstants
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ResolutionPWOforepEvents
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resolutionEntries 828341
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Prob 0
Constant 9.599e+01± 6.247e+04
Mean 0.000029± -0.004774
Sigma 0.00002± 0.02291
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Mean -0.02398
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Constant 9.599e+01± 6.247e+04
Mean 0.000029± -0.004774
Sigma 0.00002± 0.02291
resolutionresolution
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Constant 9.611e+01± 6.247e+04
Mean 0.000029± -0.005294
Sigma 0.00002± 0.02282
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Mean 0.000029± -0.005294
Sigma 0.00002± 0.02282
resolution
𝜎 = 2.3%× 1.1 = 2.4% 𝜎 = 2.3%× 1.1 = 2.4%
Startwithcalibrationconstants fromep Startwithcalibrationconstants fromee
∆𝐸/𝐸∆𝐸/𝐸
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ResolutionTransitionforepEvents
resolutionEntries 6237
Mean -0.001471
RMS 0.06772
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Prob 0.1413
Constant 6.6± 337.8
Mean 0.000492± 0.002034
Sigma 0.00052± 0.03007
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Mean -0.001471
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Prob 0.1413
Constant 6.6± 337.8
Mean 0.000492± 0.002034
Sigma 0.00052± 0.03007
resolutionresolution
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Mean -0.002101
RMS 0.07231
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Prob 0.0003663
Constant 6.5± 327.7
Mean 0.000506± -0.002946
Sigma 0.00054± 0.03031
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Mean -0.002101
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Constant 6.5± 327.7
Mean 0.000506± -0.002946
Sigma 0.00054± 0.03031
resolution
𝜎 = 3.0%× 1.1 = 3.1% 𝜎 = 3.0%× 1.1 = 3.1%
Startwithcalibrationconstants fromep Startwithcalibrationconstants fromee
∆𝐸/𝐸∆𝐸/𝐸
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ResolutionLGforepEvents
resolutionEntries 8695
Mean -0.009658
RMS 0.09467
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Prob 0.5166
Constant 4.1± 244.7
Mean 0.000941± 0.004524
Sigma 0.00109± 0.06027
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Mean 0.000941± 0.004524
Sigma 0.00109± 0.06027
resolutionresolution
Entries 8304Mean -0.01672RMS 0.1011
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𝜎 = 6.0%× 1.1 = 6.3% 𝜎 = 6.4%× 1.1 = 6.7%
Startwithcalibrationconstants fromep Startwithcalibrationconstants fromee
∆𝐸/𝐸∆𝐸/𝐸
ModulebyModuleComparison
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Before non-linearity correctionMeanvalueof(Erecon/Eexpect)forep
After non-linearity correctionMeanvalueof(Erecon/Eexoect)forep1.02 1.02
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ModulebyModuleComparison
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After non-linearity correctionMeanvalueof(Erecon/Eexoect)foree1.1 1.1
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CalibratingtheInnerModules• Innermodulesarebehindcollimator,hardtocalibratedirectly• Butwecanusetheshowerprofileandthetailofaclusterhittingmodulerightnexttothem• Forparticlehittingthecenterpartofamodule,theprofileshouldbesymmetric(otherthantheeffectofincidentangle)
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profile_1592Entries 49Mean x 2.665Mean y 3.056RMS x 0.9109RMS y 0.4833
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profile_1593Entries 49Mean x 2.366Mean y 3.13RMS x 1.315RMS y 0.4356
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Requiring particlehittingthecenterofamodule
Requiring particlehittingthecenterofamodule
BetteruseGEMprojectedposition forthispurpose
Todo• Non-linearitycorrectionshowsimprovementonthebiasofthedistribution,butcannotbefullycorrected• Betterapproachfortheproblem?• IsitreallyjusttheissuewithlinearityforLG,istheresomethingelse?
• Calibratingmodulesnearthecentralholeseemsdoable,wanttouseGEMprojectedposition inordertogetridofthedependencyonHyCalreconstructedposition
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