The asymmetry for the observable, Pzc

1. Equation

2. Asymmetry

Black(Topology 1) and Red(Average)	without the Carbon effect
EBin[03]: 0.7GeV - 0.8GeV EBin[04]: 0.8GeV - 0.9GeV EBin[05]: 0.9GeV - 1.0GeV EBin[06]: 1.0GeV - 1.1GeV EBin[07]: 1.1GeV - 1.2GeV EBin[08]: 1.2GeV - 1.3GeV EBin[09]: 1.3GeV - 1.4GeV EBin[10]: 1.4GeV - 1.5GeeV EBin[11]: 1.5GeV - 1.6GeV EBin[12]: 1.6GeV - 1.7GeV EBin[13]: 1.7GeV - 1.8GeV EBin[14]: 1.8GeV - 1.9GeV EBin[15]: 1.9GeV - 2.0GeV EBin[16]: 2.0GeV - 2.1GeV EBin[17]: 2.1GeV - 2.2GeV EBin[18]: 2.2GeV - 2.3GeV	EBin[3]: 0.7GeV - 0.8GeV EBin[4]: 0.8GeV - 0.9GeV EBin[5]: 0.9GeV - 1.0GeV EBin[6]: 1.0GeV - 1.1GeV EBin[7]: 1.1GeV - 1.2GeV EBin[8]: 1.2GeV - 1.3GeV EBin[9]: 1.3GeV - 1.4GeV EBin[10]: 1.4GeV - 1.5GeV EBin[11]: 1.5GeV - 1.6GeV EBin[12]: 1.6GeV - 1.7GeV EBin[13]: 1.7GeV - 1.8GeV EBin[14]: 1.8GeV - 1.9GeV EBin[15]: 1.9GeV - 2.0GeV EBin[16]: 2.0GeV - 2.1GeV EBin[17]: 2.1GeV - 2.2GeV EBin[18]: 2.2GeV - 2.3GeV

3. Dilution Factor

a) Integrating over φ angle bins

Period 6	Period 7

b)Integrating over θ angle bins

Period 6	Period 7

4. How do I make the Asymmetry?

EBin: 0.7GeV - 0.8GeV
160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20	160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20

EBin: 0.8GeV - 0.9GeV
160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 +0 < θ < 20	160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20

EBin: 0.9GeV - 1.0GeV
160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20	160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20

EBin: 1.0GeV - 1.1GeV
160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20	160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20

EBin: 1.1GeV - 1.2GeV
160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20	160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20

EBin: 1.2GeV - 1.3GeV
160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20	160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20

EBin: 1.3GeV - 1.4GeV
160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20	160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20

EBin: 1.4GeV - 1.5GeV
160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20	160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20

EBin: 1.5GeV - 1.6GeV
160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20	160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20

EBin: 1.6GeV - 1.7GeV
160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20	160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 60 < θ < 60 20 < θ < 40 0 < θ < 20

EBin: 1.7GeV - 1.8GeV
160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20	160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20

EBin: 1.8GeV - 1.9GeV
160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20	160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20

EBin: 1.9GeV - 2.0GeV
160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20	160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20

EBin: 2.0GeV - 2.1GeV
160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20	160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20

EBin: 2.1GeV - 2.2GeV
160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20	160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20

EBin: 2.2GeV - 2.3GeV
160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20	160 < θ < 180 140 < θ < 160 120 < θ < 140 100 < θ < 120 80 < θ < 100 60 < θ < 80 40 < θ < 60 20 < θ < 40 0 < θ < 20