Next-to-leading power threshold factorization for Drell-Yan production

Abstract

We present the next-to-leading power (NLP) factorization formula for the qq → γ * + X channel of the Drell-Yan production near the kinematic threshold limit. The formalism used for the computation of next-to-leading power corrections within soft-collinear effective field theory is introduced, we discuss the emergence of new objects, the NLP collinear functions, and define them through an operator matching equation. We review the leading power factorization before extending it to subleading powers. We also present the one-loop result for the newly introduced collinear function, and demonstrate explicitly conceptual issues in performing next-to-leading logarithmic resummation at next-to-leading power.

Snowmass 2021 White Paper: Resummation for future colliders

“…The factorization theorems at NLP generically are a sum over several terms, where each term is a convolution between the hard, collinear, and soft functions. While these convolution integrals are well defined for the bare factorization theorem in ddimensions, the limit d → 4 does not exist as was explicitly demonstrated in [53,109]. This problem originates, for example, due to the overlap between soft and collinear modes.…”