Resummation of Super-Leading Logarithms

TL;DR

This paper derives and resums super-leading logarithms in jet cross sections at hadron colliders, revealing their all-order structure and process dependence, which enhances understanding of soft radiation effects in high-energy physics.

Contribution

It provides the first all-order derivation and closed-form resummation of super-leading logarithms for generic 2→l scattering processes at hadron colliders.

Findings

Derived the all-order structure of super-leading logarithms.

Resummed these logarithms in a closed form.

Revealed process dependence of higher-order corrections.

Abstract

Jet cross sections at high-energy colliders exhibit intricate patterns of logarithmically enhanced higher-order corrections. In particular, so-called non-global logarithms emerge from soft radiation emitted off energetic partons inside jets. While this is a single-logarithmic effect at lepton colliders, at hadron colliders phase factors in the amplitudes lead to double-logarithmic corrections starting at four-loop order. This effect was discovered a long time ago, but not much is known about the higher-order behavior of these terms and their process dependence. We derive, for the first time, the all-order structure of these "super-leading logarithms" for generic $2\to l$ scattering processes at hadron colliders and resum them in closed form.