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Draft: Update SciFi Hit Error in Kalman Filter

Ya Zhao requested to merge update_KF_FT_hit_err into master

Update SciFi Hit Error in Kalman Filter. In the new model (see tables below), hit error is a function of (pseudoSize, layer, momentum). The draft note discussing hit resolution and models can be found in https://www.overleaf.com/read/gmnqfjrrhfwh#044c90 . The last step that is not yet done is to scale the hit error to optimize the yields of particles using KS2pipi.

LayerID pseudoSize=4, x: momentum[MeV]
0 23154789.379444800 / ( (x + 3228.567709951)*(x + 3228.567709951) ) + 0.092237549
1 20680896.657339606 / ( (x + 3591.815330855)*(x + 3591.815330855) ) + 0.095023980
2 15596036.426450219 / ( (x + 3151.058261365)*(x + 3151.058261365) ) + 0.102177476
3 13418024.048170315 / ( (x + 2722.136254393)*(x + 2722.136254393) ) + 0.086063198
4 2868747.742438843 / ( (x + 1096.843522791)*(x + 1096.843522791) ) + 0.085193987
5 4137639.787156299 / ( (x + 2325.165019022)*(x + 2325.165019022) ) + 0.095592633
6 1959740.767703929 / ( (x + 904.497892442)*(x + 904.497892442) ) + 0.101976882
7 3392491.967029064 / ( (x + 2084.762805573)*(x + 2084.762805573) ) + 0.082226020
8 5152946.229277493 / ( (x + 5278.899947562)*(x + 5278.899947562) ) + 0.092301151
9 3213061.215173298 / ( (x + 2707.901153302)*(x + 2707.901153302) ) + 0.116760051
10 3772903.457997424 / ( (x + 3597.170859661)*(x + 3597.170859661) ) + 0.112550243
11 1960780.593258482 / ( (x + 1325.066583623)*(x + 1325.066583623) ) + 0.105152955
LayerID pseudoSize=5, x: momentum[MeV]
0 10862533.257766284 / ( (x + 2068.414053334)*(x + 2068.414053334) ) + 0.310275197
1 10351052.130930372 / ( (x + 2669.909098654)*(x + 2669.909098654) ) + 0.312346217
2 9625838.999464801 / ( (x + 2861.413620979)*(x + 2861.413620979) ) + 0.318818946
3 7256105.303798619 / ( (x + 2365.226207088)*(x + 2365.226207088) ) + 0.306103732
4 463340.981901859 / ( (x + -1338.465472533)*(x + -1338.465472533) ) + 0.305699223
5 684974.893330344 / ( (x + -450.623923066)*(x + -450.623923066) ) + 0.322762240
6 449453.201123709 / ( (x + -929.967845135)*(x + -929.967845135) ) + 0.325342528
7 20545.947720544 / ( (x + -3302.023069448)*(x + -3302.023069448) ) + 0.309772860
8 311400.387884595 / ( (x + -311.512026007)*(x + -311.512026007) ) + 0.320782412
9 1008928.606811547 / ( (x + 594.558549039)*(x + 594.558549039) ) + 0.335819708
10 535483.585470130 / ( (x + -420.307257708)*(x + -420.307257708) ) + 0.336026346
11 681849.685564990 / ( (x + -1933.335114649)*(x + -1933.335114649) ) + 0.334432489
LayerID pseudoSize=6, x: momentum[MeV]
0 8744438.127454557 / ( (x + 2171.709290445)*(x + 2171.709290445) ) + 0.392915795
1 8630282.620604541 / ( (x + 2778.357261528)*(x + 2778.357261528) ) + 0.392562231
2 8571078.950357920 / ( (x + 3225.003799690)*(x + 3225.003799690) ) + 0.396866582
3 5857229.174073162 / ( (x + 2410.540009518)*(x + 2410.540009518) ) + 0.388225913
4 771094.400566404 / ( (x + -109.134122281)*(x + -109.134122281) ) + 0.390519895
5 575422.182995292 / ( (x + -345.410480818)*(x + -345.410480818) ) + 0.403873681
6 553676.601798218 / ( (x + -180.840778227)*(x + -180.840778227) ) + 0.404635669
7 433281.405553064 / ( (x + -502.029947673)*(x + -502.029947673) ) + 0.390250734
8 1385390.998106212 / ( (x + 5277.235171386)*(x + 5277.235171386) ) + 0.402258100
9 1547987.764117316 / ( (x + 2222.494553865)*(x + 2222.494553865) ) + 0.411895297
10 1245786.900500593 / ( (x + 1879.393214241)*(x + 1879.393214241) ) + 0.411115007
11 831109.112978482 / ( (x + -972.617375190)*(x + -972.617375190) ) + 0.409304316
LayerID pseudoSize=7, x: momentum[MeV]
0 7033190.564052835 / ( (x + 2157.853438187)*(x + 2157.853438187) ) + 0.473505309
1 7224796.335991498 / ( (x + 2927.977247145)*(x + 2927.977247145) ) + 0.471073467
2 7892181.264411370 / ( (x + 3548.004236783)*(x + 3548.004236783) ) + 0.472423204
3 4679523.550175380 / ( (x + 2344.907576283)*(x + 2344.907576283) ) + 0.466247056
4 1807318.277830467 / ( (x + 2701.444857489)*(x + 2701.444857489) ) + 0.470227160
5 1518661.581785633 / ( (x + 2801.101193980)*(x + 2801.101193980) ) + 0.481867466
6 2102933.701136883 / ( (x + 4758.815252922)*(x + 4758.815252922) ) + 0.480977283
7 1937379.207928441 / ( (x + 4001.020855378)*(x + 4001.020855378) ) + 0.467848225
8 4032005.069611534 / ( (x + 12310.883579913)*(x + 12310.883579913) ) + 0.481137780
9 3242244.133625510 / ( (x + 5478.583125678)*(x + 5478.583125678) ) + 0.485487941
10 8031431.175710511 / ( (x + 11294.979366016)*(x + 11294.979366016) ) + 0.480068023
11 842164.512574237 / ( (x + -354.226282397)*(x + -354.226282397) ) + 0.484829942
LayerID pseudoSize=8, x: momentum[MeV]
0 4623094.990568376 / ( (x + 1449.812968037)*(x + 1449.812968037) ) + 0.553541148
1 5837006.951407019 / ( (x + 3065.257386389)*(x + 3065.257386389) ) + 0.550391725
2 6670069.220234816 / ( (x + 3816.275792892)*(x + 3816.275792892) ) + 0.550423509
3 4797680.978752845 / ( (x + 3100.948665751)*(x + 3100.948665751) ) + 0.542559832
4 5647932.335294667 / ( (x + 10691.965262934)*(x + 10691.965262934) ) + 0.549989802
5 13376579.285965819 / ( (x + 17855.734603185)*(x + 17855.734603185) ) + 0.555825706
6 33271013.887585603 / ( (x + 30280.248608720)*(x + 30280.248608720) ) + 0.549150846
7 4296720.445854717 / ( (x + 9511.799336392)*(x + 9511.799336392) ) + 0.545853750
8 63906850160.236946106 / ( (x + 869037.020869628)*(x + 869037.020869628) ) + 0.485405653
9 5369732.715899627 / ( (x + 10485.743135610)*(x + 10485.743135610) ) + 0.561966787
10 40816541.707359821 / ( (x + 32900.933985713)*(x + 32900.933985713) ) + 0.550193066
11 2896820.957309694 / ( (x + 3778.807517829)*(x + 3778.807517829) ) + 0.555143155
LayerID pseudoSize=0, x: momentum[MeV]
0 6087552.612283930 / ( (x + 2745.312299624)*(x + 2745.312299624) ) + 0.256845343
1 6411031.858935189 / ( (x + 3922.657189789)*(x + 3922.657189789) ) + 0.261618954
2 6484063.655053214 / ( (x + 3895.999151155)*(x + 3895.999151155) ) + 0.260920807
3 4343681.840399578 / ( (x + 3254.608850145)*(x + 3254.608850145) ) + 0.256307503
4 1123536.088399351 / ( (x + 1069.744612037)*(x + 1069.744612037) ) + 0.256471253
5 1955966.066095850 / ( (x + 2482.489593856)*(x + 2482.489593856) ) + 0.263483736
6 2006995.518003298 / ( (x + 2357.620182799)*(x + 2357.620182799) ) + 0.264714583
7 1653317.462377106 / ( (x + 839.232020867)*(x + 839.232020867) ) + 0.256811440
8 821970.755634446 / ( (x + 966.614788690)*(x + 966.614788690) ) + 0.268134208
9 43681249.443321966 / ( (x + 15148.727801742)*(x + 15148.727801742) ) + 0.256109753
10 1478601.310518233 / ( (x + 1486.356516981)*(x + 1486.356516981) ) + 0.275348180
11 1302516.837420181 / ( (x + 402.675734246)*(x + 402.675734246) ) + 0.275644455
Edited by Ya Zhao

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