Soft logarithms in processes with heavy quarks
Abstract
Observables involving heavy quarks can be computed in perturbative QCD in two different approximation schemes: either the quark mass dependence is fully retained, or it is retained only where needed to regulate the collinear singularity. The two schemes have different advantages and drawbacks. In particular, it is known that the structure of large logarithms arising from soft emissions is different in the two approaches. We investigate the origin of this difference in some detail, focussing on a few specific processes. We show that it is related to the non-commutativity of the small-mass and soft-emission limits. Finally, we perform the resummation of soft-emission logarithms to next-to-leading accuracy in the case of Higgs decay into a pair, in the scheme in which the quark mass dependence is fully accounted for.
Cite
@article{arxiv.2207.13567,
title = {Soft logarithms in processes with heavy quarks},
author = {Daniele Gaggero and Andrea Ghira and Simone Marzani and Giovanni Ridolfi},
journal= {arXiv preprint arXiv:2207.13567},
year = {2022}
}
Comments
23 pages, 3 figures; version published in JHEP (plus a minus sign corrected in Eq. (4.1))