Abstract
Perturbative calculations for processes that involve heavy flavours can be performed in two approaches: the massive scheme and the massless one. The former enables one to fully account for the heavy-quark kinematics, while the latter allows one to resum potentially-large mass logarithms. Furthermore, the two schemes can be combined to take advantage of the virtues of each of them. Both massive and massless calculations can be supplemented by soft-gluon resummation. However matching between massive and massless resummed calculations is difficult, essentially because of the non-commutativity of the soft and massless limits. In this paper, we develop a formalism to combine resummed massive and massless calculations. We obtain an all-order expression that consistently resums both mass and soft logarithms to next-to-leading logarithmic accuracy. We perform detailed calculations for the decay of the Higgs into a heavy-quark pair, and discuss the applications of this formalism to different processes.
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Acknowledgments
We thank Matteo Cacciari, Fabrizio Caola, Giancarlo Ferrera, Gavin Salam, Gregory Soyez, and Maria Ubiali for useful discussions on this topic. AG and SM acknowledge support from the IPPP DIVA fellowship program and thank the physics department at the University of Oxford for hospitality during the course of this work. AG and SM also thank the Erwin-Schrodinger International Institute for Mathematics and Physics at the University of Vienna for partial support during the Programme “Quantum Field Theory at the Frontiers of the Strong Interactions”, July 31 - September 1, 2023. The work of GR is supported by the Italian Ministero dell’Universita e della Ricerca (MUR) under grant PRIN 20172LNEEZ.
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Ghira, A., Marzani, S. & Ridolfi, G. A consistent resummation of mass and soft logarithms in processes with heavy flavours. J. High Energ. Phys. 2023, 120 (2023). https://doi.org/10.1007/JHEP11(2023)120
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DOI: https://doi.org/10.1007/JHEP11(2023)120