Towards pp -> VVjj at NLO QCD: Bosonic contributions to triple vector boson production plus jet

TL;DR

This paper presents NLO QCD corrections for pp -> VVjj processes, introduces a Mathematica program for amplitude simplification, and analyzes bosonic contributions to triple vector boson production with jets.

Contribution

It develops a Mathematica-based tool for automatic amplitude simplification up to hexagon level and computes bosonic corrections for specific vector boson production processes.

Findings

Successfully computed virtual contributions for quadruple vector boson production.

Analyzed stability issues in hexagon amplitude evaluations.

Achieved fast CPU times for amplitude calculations.

Abstract

In this work, some of the NLO QCD corrections for pp -> VVjj + X are presented. A program in Mathematica based on the structure of FeynCalc which automatically simplifies a set of amplitudes up to the hexagon level of rank 5 has been created for this purpose. We focus on two different topologies. The first involves all the virtual contributions needed for quadruple electroweak vector boson production, i.e. pp -> VVVV + X. In the second, the remaining "bosonic" corrections to electroweak triple vector boson production with an additional jet (pp -> VVV j + X) are computed. We show the factorization formula of the infrared divergences of the bosonic contributions for VVVV and VVVj production with V=(W,Z,gamma). Stability issues associated with the evaluation of the hexagons up to rank 5 are studied. The CPU time of the FORTRAN subroutines rounds the 2 milliseconds and seems to be competitive with other more sophisticated methods. Additionally, in Appendix A the master equations to obtain the tensor coefficients up to the hexagon level in the external momenta convention are presented including the ones needed for small Gram determinants.