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Volume 375 - 14th International Symposium on Radiative Corrections (RADCOR2019) - Math
Padé approach to top-quark mass effects in gluon fusion amplitudes
J. Davies, R. Gröber, A. Maier, T.J.G. Rauh,* M. Steinhauser
*corresponding author
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Pre-published on: 2019 December 19
Published on: 2020 February 18
Gluon fusion processes like single and double Higgs production exhibit slow convergence and pose severe computational challenges. We show how the top-quark mass dependence of the virtual amplitudes can be reconstructed with a conformal mapping and Padé approximants based on the expansion in the inverse top-quark mass and the non-analytic terms in the expansion around the top threshold. The method is then applied at two- and three-loop order.
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