Soft and collinear factorization and transverse momentum dependent parton distribution functions

By M. G. Echevarria, Ahmad Idilbi, I. Scimemi. 2012

178 citations recorded by the source corpus.

Abstract 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 Collinsʼ definition.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2a7c992ed92cb843d1e7cd9b56d391d5ce72c5ea

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

1. I. Scimemi
2. M. G. Echevarria
3. Ahmad Idilbi
4. Andreas Schäfer
5. J. Lansberg
6. A. Vladimirov

Citations in the corpus

• Model independent evolution of transverse momentum dependent distribution functions (TMDs) at NNLL (2012, methodology): “(1) the evolution of a generic quark-TMDPDF between initial factorization scale μi and probing scale Qi and final ones μf and Qf is given by 2 F̃ (x, b;Qf , μf ) = F̃ (x, b;Qi, μi) R̃(b;Qi, μi, Qf , μf ) , (6) where the evolution kernel R̃ is [12, 13] R̃(b;Qi, μi, Qf , μf ) = exp {”