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Two-loop leading colour helicity amplitudes for W^pmγ+j production at the LHC

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arxiv 2201.04075 v1 pith:Q5QPC26Y submitted 2022-01-11 hep-ph hep-th

Two-loop leading colour helicity amplitudes for W^pmγ+j production at the LHC

classification hep-ph hep-th
keywords amplitudescolourfinitehelicitytwo-loopanalyticgammaleading
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 5 Pith papers

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