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 drawbac...

Full description

Bibliographic Details
Main Authors: Daniele Gaggero, Andrea Ghira, Simone Marzani, Giovanni Ridolfi
Format: Article
Language:English
Published: SpringerOpen 2022-09-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP09(2022)058
_version_ 1811211551949979648
author Daniele Gaggero
Andrea Ghira
Simone Marzani
Giovanni Ridolfi
author_facet Daniele Gaggero
Andrea Ghira
Simone Marzani
Giovanni Ridolfi
author_sort Daniele Gaggero
collection DOAJ
description 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.
first_indexed 2024-04-12T05:16:00Z
format Article
id doaj.art-6ac6eac37d9f41c9b22ddb8b1fd052d1
institution Directory Open Access Journal
issn 1029-8479
language English
last_indexed 2024-04-12T05:16:00Z
publishDate 2022-09-01
publisher SpringerOpen
record_format Article
series Journal of High Energy Physics
spelling doaj.art-6ac6eac37d9f41c9b22ddb8b1fd052d12022-12-22T03:46:38ZengSpringerOpenJournal of High Energy Physics1029-84792022-09-012022912310.1007/JHEP09(2022)058Soft logarithms in processes with heavy quarksDaniele Gaggero0Andrea Ghira1Simone Marzani2Giovanni Ridolfi3Dipartimento di Fisica, Università di Genova and INFN, Sezione di GenovaDipartimento di Fisica, Università di Genova and INFN, Sezione di GenovaDipartimento di Fisica, Università di Genova and INFN, Sezione di GenovaDipartimento di Fisica, Università di Genova and INFN, Sezione di GenovaAbstract 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.https://doi.org/10.1007/JHEP09(2022)058Bottom QuarksResummation
spellingShingle Daniele Gaggero
Andrea Ghira
Simone Marzani
Giovanni Ridolfi
Soft logarithms in processes with heavy quarks
Journal of High Energy Physics
Bottom Quarks
Resummation
title Soft logarithms in processes with heavy quarks
title_full Soft logarithms in processes with heavy quarks
title_fullStr Soft logarithms in processes with heavy quarks
title_full_unstemmed Soft logarithms in processes with heavy quarks
title_short Soft logarithms in processes with heavy quarks
title_sort soft logarithms in processes with heavy quarks
topic Bottom Quarks
Resummation
url https://doi.org/10.1007/JHEP09(2022)058
work_keys_str_mv AT danielegaggero softlogarithmsinprocesseswithheavyquarks
AT andreaghira softlogarithmsinprocesseswithheavyquarks
AT simonemarzani softlogarithmsinprocesseswithheavyquarks
AT giovanniridolfi softlogarithmsinprocesseswithheavyquarks