PoS - Proceedings of Science
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
Full text: pdf
Pre-published on: December 19, 2019
Published on: February 18, 2020
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.
DOI: https://doi.org/10.22323/1.375.0079
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