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...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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SpringerOpen
2022-09-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP09(2022)058 |
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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 |