Single Transverse Spin Asymmetries at Parton Level

Single Transverse Spin Asymmetries at Parton Level
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帕顿能级单横向自旋不对称

DOI:
10.1088/0253-6102/53/2/21
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发表时间:
2009-01
影响因子:
3.1
通讯作者:
Sang Hua-Zheng
Sang Hua-Zheng
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Cao Hui-Geng;Ma Jian-Ping;Sang Hua-Zheng

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针对单横向自旋不对称,提出了两种分解方法。一个是共线分解,另一个是与横动量相关的分解。它们以前已经通过在强子水平上使用图解展开以形式化的方式导出。如果这两个分解成立或可以被证明,那么当我们用部分态代替强子时,它们也应该成立。我们用无质量的部分在部分水平上检验这两种分解。用无质量的部分在部分水平上产生这些不对称是非平凡的,因为这些不对称需要散射振幅的螺旋翻转和非零吸收部分。通过用无质量的部分构造合适的部分态,导出了Drell-Yan过程中不对称性的两种分解。从我们的结果中发现,在部分子水平上得到的共线分解与在强子水平上得到的共线分解是不一样的。我们在无质量粒子状态下得到的结果证实了我们以前在单质量粒子状态下得到的结果。
Two factorization approaches have been proposed for single transverse spin asymmetries. One is the collinear factorization, another is the transverse-momentum-dependent factorization. They have been previously derived in a formal way by using diagram expansion at hadron level. If the two factorizations hold or can be proven, they should also hold when we replace hadrons with parton states. We examine these two factorizations at parton level with massless partons. It is nontrivial to generate these asymmetries at parton level with massless partons because the asymmetries require helicity-flip and nonzero absorptive parts in scattering amplitudes. By constructing suitable parton states with massless partons we derive the two factorizations for the asymmetry in Drell-Yan processes. It is found from our results that the collinear factorization derived at parton level is not the same as that derived at hadron level. Our results with massless partons confirm those derived with single massive parton state in our previous works.
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