Logarithmic EW corrections at one-loop

TL;DR

This paper introduces an automated implementation of one-loop logarithmic electroweak corrections in OpenLoops, enhancing the precision of LHC process predictions at high energies with a general, efficient, and largely model-independent approach.

Contribution

It provides a fully automated, general implementation of logarithmic EW corrections in OpenLoops, supporting resonant processes and potential two-loop extensions.

Findings

Excellent agreement with full one-loop results in applicable observables.

Significant correction factors (up to tens of percent) at high energies.

Efficient representation using an effective vertex approach.

Abstract

We present a fully automated implementation of next-to-leading order electroweak (NLO EW) corrections in the logarithmic approximation in OpenLoops. For energies above the electroweak scale NLO EW corrections are logarithmically enhanced and in tails of kinematic distributions of crucial LHC processes yield correction factors of several tens of percent. The implementation of the logarithmic Sudakov EW approximation in the amplitude generator OpenLoops is fully general, largely model independent, it supports the computation of EW corrections to resonant processes, and it is suitable for extensions to the two-loop NNLO EW level. The implementation is based on an efficient representation of the logarithmic approximation in terms of an effective vertex approach. Investigating a set of representative LHC processes we find excellent agreement between the logarithmic approximation and full one-loop results in observables where the assumptions of the EW Sudakov approximation are fulfilled.