Automated NNLL+NLO Resummation for Jet-Veto Cross Sections

TL;DR

This paper develops an automated method to perform NNLL+NLO resummation of jet-veto cross sections in electroweak processes, improving precision for arbitrary final states and kinematic cuts.

Contribution

It introduces an automated framework for NNLL+NLO resummation applicable to various electroweak processes with jet vetoes, utilizing process-independent beam functions and MadGraph5_aMC@NLO.

Findings

Successfully resummed jet-veto logarithms at NNLL accuracy.

Matched resummed results with NLO fixed-order calculations.

Applied method to W+W- production with leptonic decays.

Abstract

In electroweak-boson production processes with a jet veto, higher-order corrections are enhanced by logarithms of the veto scale over the invariant mass of the boson system. In this paper, we resum these Sudakov logarithms at next-to-next-to-leading logarithmic (NNLL) accuracy and match our predictions to next-to-leading order (NLO) fixed-order results. We perform the calculation in an automated way, for arbitrary electroweak final states and in the presence of kinematic cuts on the leptons produced in the decays of the electroweak bosons. The resummation is based on a factorization theorem for the cross sections into hard functions, which encode the virtual corrections to the boson production process, and beam functions, which describe the low-p_T emissions collinear to the beams. The one-loop hard functions for arbitrary processes are calculated using the MadGraph5_aMC@NLO framework, while the beam functions are process independent. We perform the resummation for a variety of processes, in particular for W+W- pair production followed by leptonic decays of the W bosons.