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Soft logarithms in processes with heavy quarks

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arxiv 2207.13567 v2 pith:EZGWIV4G submitted 2022-07-27 hep-ph

Daniele Gaggero , Andrea Ghira , Simone Marzani , Giovanni Ridolfi This is my paper · ORCID
classification hep-ph
keywords differentlogarithmsdependencefullyheavymassprocessesquark
verification ladder T0 review T1 audit T2 compute T3 formal
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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 $b\bar b$ pair, in the scheme in which the quark mass dependence is fully accounted for.

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