Home » Blogs » jcmei's blog

Compare the output using Soffer's and helicity as the transversely polarized PDF

Updated on Tue, 2017-04-25 20:33. Originally created by jcmei on 2017-04-19 06:06.

Compare the output using Soffer's and helicity as the transversely polarized PDF.
The uncertainty from fz shift is taken as an example.

pT_lambda : 2~3 GeV/c 

For Lambda: 

Soffer's bound | Pic: SU6_tBias_fz_a_L_J1_ptV2.pdf

Trig. fz D_TT (ZB-JPX)/JPX (ZB-JPX)/ZB
ZB 0.3855 0.0158    
JP0 0.3633 0.0153 0.0327 0.0316
JP1 0.3206 0.0113 0.3982 0.2848
JP2 0.2748 0.0075 1.1067 0.5253
AJP 0.3295 0.0113 0.3982 0.2848

helicity (DSSV2009a) | Pic: SU6_tBias_fz_a_L_J1_ptV2_hel.pdf

Trig. fz D_TT (ZB-JPX)/JPX (ZB-JPX)/ZB
ZB 0.3855 0.0047    
JP0 0.3633 0.0046 0.0217 0.0213
JP1 0.3206 0.0038 0.2368 0.1915
JP2 0.2748 0.0028 0.6786 0.4043
AJP 0.3295 0.0038 0.2368 0.1915

For anti-Lambda

Soffer's bound | Pic: SU6_tBias_fz_a_A_J1_ptV2.pdf

Trig. fz D_TT (ZB-JPX)/JPX (ZB-JPX)/ZB
ZB 0.3858 0.0135    
JP0 0.3706 0.0132 0.0227 0.0222
JP1 0.3346 0.0103 0.3107 0.2370
JP2 0.2831 0.0075 0.8000 0.4444
AJP 0.3358 0.0103 0.3107 0.2370

helicity (DSSV2009a) | Pic: SU6_tBias_fz_a_A_J1_ptV2_hel.pdf

Trig. fz D_TT (ZB-JPX)/JPX (ZB-JPX)/ZB
ZB 0.3858 0.0038    
JP0 0.3706 0.0039 0.0256 0.0263
JP1 0.3346 0.0032 0.1875 0.1579
JP2 0.2831 0.0027 0.4074 0.2895
AJP 0.3358 0.0032 0.1875 0.1579

The relative uncertaintes are smaller using helicity PDF as the transvesely polarized PDF and almost half of the value when we use the Soffer's bound.

»