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arXiv 0709.1390hep-ph
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横动量相关部分子分布函数的非普适性

Non-universality of transverse momentum dependent parton distribution functions

C. J. Bomhof, P. J. Mulders

摘要:

在强子散射过程的场论描述中,由于胶子的初态和末态相互作用,会出现单横自旋不对称性。这些相互作用导致在横动量相关的部分子分布函数的算符定义中出现过程相关的Wilson线。特别是对于强子-强子散射过程中的强子末态,这对(非)普适TMD部分子分布函数中可能的因式分解公式有重要的影响。本文将系统地把TMD部分子算符的普适破缺部分与普适T-偶和T-奇部分分开。这可能会在未来的因子分解研究这些过程中发挥重要作用。我们还表明,这种因式分解定理将(除其他外)涉及胶子极截面,这已被证明是描述硬部分子散射加权自旋不对称。

英文摘要:

In the field theoretical description of hadronic scattering processes, single transverse-spin asymmetries arise due to gluon initial and final state interactions. These interactions lead to process dependent Wilson lines in the operator definitions of transverse momentum dependent parton distribution functions. In particular for hadron-hadron scattering processes with hadronic final states this has important ramifications for possible factorization formulas in terms of (non)universal TMD parton distribution functions. In this paper we will systematically separate the universality-breaking parts of the TMD parton correlators from the universal T-even and T-odd parts. This might play an important role in future factorization studies for these processes. We also show that such factorization theorems will (amongst others) involve the gluonic pole cross sections, which have previously been shown to describe the hard partonic scattering in weighted spin asymmetries.

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