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

J. Collins1,*, L. Gamberg2,†, A. Prokudin2,3,‡, T. C. Rogers4,3,§, N. Sato3,∥, and B. Wang4,3,¶

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

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

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.

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Phys. Rev. D 94, 034014– Published 8 August, 2016
  • Received 24 May 2016
Article part of CHORUS

© 2016 American Physical Society

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