Soft and collinear factorization and transverse momentum dependent parton distribution functions

被引:146
作者
Echevarria, Miguel G. [1 ]
Idilbi, Ahmad [2 ]
Scimemi, Ignazio [1 ]
机构
[1] Univ Complutense Madrid, Dept Fis Teor 2, E-28040 Madrid, Spain
[2] European Ctr Theoret Studies Nucl Phys & Related, I-38123 Villazzano, Trento, Italy
关键词
RENORMALIZATION;
D O I
10.1016/j.physletb.2013.09.003
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In this work we consider how a parton distribution function, with an explicit transverse momentum dependence can be properly defined in a regularization-scheme independent manner. We argue that by considering a factorized form of the transverse momentum dependent spectrum for the production of a heavy lepton pair in Drell-Yan reaction, one should first split the relevant soft function into two boost invariant contributions. When those soft contributions are added to the pure collinear contributions, well-defined hadronic matrix elements emerge, i.e., the transverse momentum dependent distributions. We also perform a comparison with Collins' definition. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:795 / 801
页数:7
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