학술논문

Soft logarithms in processes with heavy quarks
Document Type
article
Source
Journal of High Energy Physics, Vol 2022, Iss 9, Pp 1-23 (2022)
Subject
Bottom Quarks
Resummation
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
Language
English
ISSN
1029-8479
Abstract
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 b ¯ $$ \overline{b} $$ pair, in the scheme in which the quark mass dependence is fully accounted for.