Sudakov Logarithm Resummation for Vector Boson Production at Hadron Colliders

TL;DR

This paper discusses methods for resumming large Sudakov logarithms in W and Z boson production at colliders, proposing a formulation in transverse momentum space that combines advantages of existing techniques.

Contribution

It introduces a new formulation of transverse momentum space resummation that smoothly transitions to fixed-order calculations at high transverse momentum.

Findings

The proposed method retains the benefits of impact parameter space resummation.

It allows a seamless switch between resummation and fixed-order calculations.

The approach improves the theoretical description of vector boson production.

Abstract

A complete description of W and Z boson production at high-energy colliders requires the resummation of large Sudakov logarithms which dominate the production at small transverse momentum. Currently there are two techniques for performing this resummation: impact parameter space and transverse momentum space. We argue that the latter can be formulated in a way which retains the advantages of the former, while at the same time allowing a smooth transition to finite order dominance at high transverse momentum.