Logarithmic EW corrections at two-loop

TL;DR

This paper implements NNLO electroweak corrections at NLL accuracy in OpenLoops, enhancing the precision of LHC process predictions by including two-loop effects validated against analytical results.

Contribution

It introduces an automated two-loop electroweak correction implementation at NLL accuracy in OpenLoops for massless fermions and transversely polarised vector bosons.

Findings

Logarithmic EW corrections significantly affect high-energy LHC processes.

Two-loop EW corrections can reach several percent at NNLO.

Validation against analytical results confirms the implementation's accuracy.

Abstract

We present the implementation of next-to-next-to-leading order (NNLO) electroweak (EW) virtual corrections at next-to-leading logarithmic (NLL) accuracy in the amplitude generator OpenLoops. The implementation covers the automated computation of processes involving massless fermions and transversely polarised vector bosons. For energies above the EW scale, logarithmic EW corrections are strongly enhanced in the tails of kinematic distributions of key LHC processes, reaching several tens of percent at NLO and several percent at NNLO. The two-loop implementation is validated against analytical results from the literature. We present phenomenological results for representative LHC processes and discuss the role of two-loop EW corrections in reducing theoretical uncertainties from missing higher-order contributions.