English

Relating Transverse Momentum Dependent and Collinear Factorization Theorems in a Generalized Formalism

High Energy Physics - Phenomenology 2016-08-17 v2

Abstract

We construct an improved implementation for combining transverse-momentum-dependent (TMD) factorization and collinear factorization. TMD factorization is suitable for low transverse momentum physics, while collinear factorization is suitable for high transverse momenta and for a cross section integrated over transverse momentum. The result is a modified version of the standard W+YW+Y prescription traditionally used in the Collins-Soper-Sterman (CSS) formalism and related approaches. We further argue that questions regarding the shape and QQ-dependence of the cross sections at lower QQ are largely governed by the matching to the YY-term.

Cite

@article{arxiv.1605.00671,
  title  = {Relating Transverse Momentum Dependent and Collinear Factorization Theorems in a Generalized Formalism},
  author = {J. Collins and L. Gamberg and A. Prokudin and T. C. Rogers and N. Sato and B. Wang},
  journal= {arXiv preprint arXiv:1605.00671},
  year   = {2016}
}

Comments

Fixed typos, version published in physical review D

R2 v1 2026-06-22T13:47:15.316Z