Pad\'e approach to top-quark mass effects in gluon fusion amplitudes
High Energy Physics - Phenomenology
2020-08-27 v3
Abstract
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 Pad\'e 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.
Keywords
Cite
@article{arxiv.1912.04097,
title = {Pad\'e approach to top-quark mass effects in gluon fusion amplitudes},
author = {Joshua Davies and Ramona Gröber and Andreas Maier and Thomas Rauh and Matthias Steinhauser},
journal= {arXiv preprint arXiv:1912.04097},
year = {2020}
}
Comments
9 pages, 7 figures, contribution to the 14th International Symposium on Radiative Corrections (RADCOR2019), 9-13 September 2019, Palais des Papes, Avignon, France; v3: minor changes to Fig. 3, conclusions unchanged