Two-loop leading colour helicity amplitudes for W^±γ+j production at the LHC
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Simon Badger, Heribertus Bayu Hartanto, Jakub Kryś, Simone Zoia
2022
Abstract
We present the two-loop leading colour QCD helicity amplitudes for the
process pp→ W(→ lν)γ+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.
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