Two-loop leading colour helicity amplitudes for $W^\pm\gamma+j$ production at the LHC

Simon Badger; Heribertus Bayu Hartanto; Jakub Kryś; Simone Zoia

doi:10.1007/JHEP05(2022)035

Two-loop leading colour helicity amplitudes for $W^\pm\gamma+j$ production at the LHC

High Energy Physics - Phenomenology 2022-05-25 v1 High Energy Physics - Theory

Authors: Simon Badger , Heribertus Bayu Hartanto , Jakub Kryś , Simone Zoia

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Abstract

We present the two-loop leading colour QCD helicity amplitudes for the process $pp\to W(\to l\nu)\gamma+j$ . We implement a complete reduction of the amplitudes, including the leptonic decay of the $W$ -boson, using finite field arithmetic, and extract the analytic finite remainders using a recently identified basis of special functions. Simplified analytic expressions are obtained after considering permutations of a rational kinematic parametrisation and multivariate partial fractioning. We demonstrate efficient numerical evaluation of the two-loop colour and helicity summed finite remainders for physical kinematics, and hence the suitability for phenomenological applications.

Keywords

two-loop amplitudes leading color helicity amplitudes w gamma j production qcd finite field arithmetic lhc phenomenology

Cite

@article{arxiv.2201.04075,
  title  = {Two-loop leading colour helicity amplitudes for $W^\pm\gamma+j$ production at the LHC},
  author = {Simon Badger and Heribertus Bayu Hartanto and Jakub Kryś and Simone Zoia},
  journal= {arXiv preprint arXiv:2201.04075},
  year   = {2022}
}

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35 pages, ancillary files with analytic expressions

Two-loop leading colour helicity amplitudes for $W^\pm\gamma+j$ production at the LHC

Abstract

Keywords

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