Eur. Phys. J. C (2015) 75: 154
https://doi.org/10.1140/epjc/s10052-015-3368-y

Regular Article - Theoretical Physics

Automated NNLL  NLO resummation for jet-veto cross sections

¹ Albert Einstein Center for Fundamental Physics, Institut für Theoretische Physik, Universität Bern, Sidlerstrasse 5, 3012, Bern, Switzerland
² TH Unit, PH Department, CERN, 1211, Geneva 23, Switzerland
³ PRISMA Cluster of Excellence and Mainz Institut for Theoretical Physics, Johannes Gutenberg University, 55099, Mainz, Germany
⁴ Department of Physics, LEPP, Cornell University, Ithaca, NY, 14853, USA

^* e-mail: becher@itp.unibe.ch

Received: 22 January 2015
Accepted: 19 March 2015
Published online: 18 April 2015

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 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- 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 pair production followed by leptonic decays of the bosons.