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Factorization of power corrections in the Drell-Yan process in EFT

Matthew Inglis-Whalen*, Michael Luke†, Jyotirmoy Roy‡, and Aris Spourdalakis§

  • Department of Physics, University of Toronto, Toronto, Ontario M5S 1A7, Canada

  • *minglis@physics.utoronto.ca
  • †luke@physics.utoronto.ca
  • ‡jro1@physics.utoronto.ca
  • §aspourda@physics.utoronto.ca
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Phys. Rev. D 104, 076018 – Published 20 October, 2021

DOI: https://doi.org/10.1103/PhysRevD.104.076018

Abstract

We examine the quark-induced Drell-Yan process at next-to-leading power (NLP) in soft-collinear effective theory. Using an approach with no explicit soft or collinear modes, we discuss the factorization of the differential cross section in the small-qT hierarchy with q2≫qT2≫ΛQCD2. We show that the cross section may be written in terms of matrix elements of power-suppressed operators T(i,j), which contribute to O(qT2/q2) coefficients of the usual parton distribution functions. We derive a factorization for this observable at NLP which allows the large logarithms in each of the relevant factors to be resummed. We discuss the cancellation of rapidity divergences and the overlap subtractions required to eliminate double counting at next-to-leading power.

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Phys. Rev. D 104, 076018– Published 20 October, 2021
  • Received 2 June 2021
  • Accepted 15 September 2021
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