Scale setting and resummation of logarithms in pp -> V + jets

TL;DR

This paper addresses the challenge of large logarithmic corrections in vector boson plus jets production by proposing a resummation method using effective theory, improving the convergence of theoretical predictions.

Contribution

It introduces a simple scale choice to resum leading logarithms in pp -> V + jets, enhancing the accuracy of perturbative calculations.

Findings

Resummation of leading logarithms reduces discrepancies in predictions.

A simple scale choice effectively captures all leading logarithmic effects.

Improved convergence of fixed order perturbation theory results.

Abstract

The production of vector bosons in association with jets contains at least two unrelated scales. The first is the mass of the vector boson m_V and the second is the hard interaction scale giving rise to large transverse momenta of the produced jets. The production cross sections depend logarithmically on the ratio of these scales, which can lead to a poor convergence in fixed order perturbation theory. We illustrate how to resum all leading logarithmic terms using effective theory methods, and show that they can be resummed by a simple choice of the factorization scale. Implementing this scale choice we show that the large discrepancies between next-to-leading calculations and leading order calculations using more traditional choices of scales disappear.