Joint transverse momentum and threshold resummation beyond NLL

TL;DR

This paper develops a comprehensive framework for joint resummation of threshold and transverse momentum logarithms in heavy color-singlet production, extending accuracy beyond NLL using Soft-Collinear Effective Theory.

Contribution

It introduces new factorization theorems valid to all orders, enabling resummation beyond NLL accuracy for transverse momentum spectra.

Findings

Factorization theorems valid in various regimes

Next-to-leading order calculations of new ingredients

Framework extends resummation accuracy beyond NLL

Abstract

To describe the transverse momentum spectrum of heavy color-singlet production, the joint resummation of threshold and transverse momentum logarithms is investigated. We obtain factorization theorems for various kinematic regimes valid to all orders in the strong coupling, using Soft-Collinear Effective Theory. We discuss how these enable resummation and how to combine regimes. The new ingredients in the factorization theorems are calculated at next-to-leading order, and a range of consistency checks is performed. Our framework goes beyond the current next-to-leading logarithmic accuracy (NLL).