Soft-gluon-pole contribution in single transverse-spin asymmetries of Drell-Yan processes

Soft-gluon-pole contribution in single transverse-spin asymmetries of Drell-Yan processes
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软胶子极对 Drell-Yan 过程单横向自旋不对称性的贡献

DOI:
10.1007/jhep04(2011)062
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发表时间:
2011-02
影响因子:
5.4
通讯作者:
Sang, H. Z.
Sang, H. Z.
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Ma, J. P.;Sang, H. Z.

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我们利用多部分子态研究了Drell-Yan过程中单横自旋不对称性的首阶共线因式分解。因子分解涉及Twist-3算子。我们发现,为了使因式分解正确,在因式分解中所谓的软胶子极贡献必须存在。这种贡献来自于单圈处的相应截面,而因子分解中的硬极点贡献来自于树级处的截面。虽然这两个贡献来自不同阶的结果,但它们在因子分解中的扰动系数函数是相同阶的。这与只涉及twist-2算子的因子分解相反。在这项工作中发现的软胶子极的贡献是一致的,在不同的方式导出。对于硬极的贡献,我们发现一个额外的贡献,从一个额外的部分过程中的不对称性。我们还解决了twist-3算子演化中的差异部分。这里提出的分析因式分解的方法可以推广到其他过程,并可以很容易地用于研究高阶因式分解,因为所涉及的计算是标准的散射振幅。
We use multi-parton states to examine the leading order collinear factorization of single transverse-spin asymmetries in Drell-Yan processes. Twist-3 operators are involved in the factorization. We find that the so-called soft-gluon-pole contribution in the factorization must exist in order to make the factorization correct. This contribution comes from the corresponding cross-section at one-loop, while the hard-pole contribution in the factorization comes from the cross-section at tree-level. Although the two contributions come from results at different orders, their perturbative coefficient functions in the factorization are at the same order. This is in contrast to factorizations only involving twist-2 operators. The soft-gluon-pole contribution found in this work is in agreement with that derived in a different way. For the hard-pole contributions we find an extra contribution from an extra part on process contributing to the asymmetries. We also solve apart of discrepancy in evolutions of the twist-3 operator. The method presented here for analyzing the factorization can be generalized to other processes and can be easily used for studying factorizations at higher orders, because the involved calculations are of standard scattering amplitudes.
帕顿能级单横向自旋不对称
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