Relating transverse-momentum-dependent and collinear factorization theorems in a generalized formalism

J. Collins, L. Gamberg, A. Prokudin, T. C. Rogers, N. Sato, and B. Wang

Phys. Rev. D 94, 034014 – Published 8 August 2016

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 $W + Y$ prescription traditionally used in the Collins-Soper-Sterman (CSS) formalism and related approaches. We further argue that questions regarding the shape and $Q$ dependence of the cross sections at lower $Q$ are largely governed by the matching to the $Y$ term.

Received 24 May 2016

DOI:https://doi.org/10.1103/PhysRevD.94.034014

Physics Subject Headings (PhySH)

Particle interactions Perturbation theory Quantum chromodynamics

Particles & Fields

Authors & Affiliations

J. Collins^1,*, L. Gamberg^2,†, A. Prokudin^2,3,‡, T. C. Rogers^4,3,§, N. Sato^3,∥, and B. Wang^4,3,¶

¹Department of Physics, Penn State University, University Park. Pennsylvania 16802, USA
²Science Division, Penn State University Berks, Reading, Pennsylvania 19610, USA
³Theory Center, Jefferson Lab, 12000 Jefferson Avenue, Newport News, Virginia 23606, USA
⁴Department of Physics, Old Dominion University, Norfolk, Virginia 23529, USA

^*jcc8@psu.edu
^†lpg10@psu.edu
^‡prokudin@jlab.org
^§tedconantrogers@gmail.com
^∥nsato@jlab.org
^¶bowenw@mail.smu.edu

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand

Issue

Vol. 94, Iss. 3 — 1 August 2016

Reuse & Permissions

Access Options

Article Available via CHORUS

Download Accepted Manuscript

Author publication services for translation and copyediting assistance advertisement

Physical Review D

covering particles, fields, gravitation, and cosmology