EPJ Web Conf.
Volume 274, 2022XVth Quark Confinement and the Hadron Spectrum Conference (ConfXV)
|Number of page(s)||8|
|Section||4 - Parallel Track C|
|Published online||22 December 2022|
Massive lighter quark corrections to boosted-top cross section
1 Departamento de Física Teórica, Universidad Autónoma de Madrid, E-28049, Madrid, Spain
2 Departamento de Física Fundamental e IUFFyM, Universidad de Salamanca, E-37008 Salamanca, Spain
3 Instituto de Física Teórica UAM-CSIC, E-28049 Madrid, Spain
4 Instituto de Física Corpuscular UV-CSIC, E-46980 Valencia, Spain
Published online: 22 December 2022
In this work we present the computation of the missing pieces to get the bHQET thrust distribution with non-vanishing secondary quark masses at NNLO: the jet and hard functions. The difference with respect to the massless case is encoded in diagrams with massive-quark bubbles. For its computation we use a Mellin Barnes representation of the dispersive integral method that permits expressing the result as an analytic, fast-converging expansion in powers of a small parameter rather than integrals that can only be solved numerically. We also obtain the matching coefficient present when integrating out the quark mass. It is necessary for a continuous top-down running and to verify the consistency check.
© The Authors, published by EDP Sciences, 2022
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