Soft gluon resummation for heavy quark and dijet cross sections

TL;DR

This paper develops a method for resumming threshold logarithms in heavy quark and dijet production, providing more accurate cross section calculations in hadronic collisions, with application to top quark production at Fermilab.

Contribution

It introduces a next-to-leading logarithmic resummation formalism using anomalous dimension matrices for soft gluon effects in heavy quark and dijet processes.

Findings

Resummed cross sections at NLL accuracy are derived.

Application to top quark production at Fermilab shows improved predictions.

Framework can be extended to other processes involving soft gluon effects.

Abstract

We discuss the resummation of threshold logarithms for heavy quark and dijet cross sections in hadronic collisions. The resummed cross sections are presented at next-to-leading logarithmic accuracy in terms of anomalous dimension matrices which describe the factorization of soft gluons from the hard scattering. We apply our formalism to the calculation of the top quark production cross section at the Fermilab Tevatron.