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Pseudoscalar Higgs boson decay to three parton amplitudes at NNLO to higher orders in the dimensional regulator

We present for the first time the second-order corrections of pseudoscalar(A) Higgs decay to three parton to higher orders in the dimensional regulator. We compute the one- and two-loop amplitudes… Click to show full abstract

We present for the first time the second-order corrections of pseudoscalar(A) Higgs decay to three parton to higher orders in the dimensional regulator. We compute the one- and two-loop amplitudes for processes, A→ggg and A→qq¯g, in the effective theory framework. With suitable crossing of the external momenta, these calculations are well-suited for predicting the differential distribution of pseudoscalar Higgs in association with a jet at hadron colliders, up to next-to-next-to-leading order in the strong coupling constant. These results expanded to higher orders in the dimensional regulator will contribute to the full three-loop cross section. We implement the finite pieces of the amplitudes in a numerical code which can be used with any Monte Carlo phase space generator. Published by the American Physical Society 2025

Keywords: decay three; dimensional regulator; pseudoscalar higgs; orders dimensional; higher orders

Journal Title: Physical Review D
Year Published: 2025

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