Improved factorization for threshold resummation in heavy quark to heavy quark decays
Abstract We consider the resummation of soft-gluon effects in heavy quark to heavy quark decays, namely the processes $$Q_1 \rightarrow Q_2 \, + \, \mathrm {(non\,QCD\, partons)}$$ Q 1 → Q 2 + ( non QCD partons ) , where $$Q_1$$ Q 1 and $$Q_2$$ Q 2 are two different heavy quarks. We construct a new...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-04-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-11440-y |
| _version_ | 1797822686600101888 |
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| author | U. G. Aglietti G. Ferrera |
| author_facet | U. G. Aglietti G. Ferrera |
| author_sort | U. G. Aglietti |
| collection | DOAJ |
| description | Abstract We consider the resummation of soft-gluon effects in heavy quark to heavy quark decays, namely the processes $$Q_1 \rightarrow Q_2 \, + \, \mathrm {(non\,QCD\, partons)}$$ Q 1 → Q 2 + ( non QCD partons ) , where $$Q_1$$ Q 1 and $$Q_2$$ Q 2 are two different heavy quarks. We construct a new factorization scheme for threshold resummed spectra, which allows us to consistently evaluate the distribution of the final hadron invariant mass $$m_X$$ m X in all the kinematic regions, i.e. when $$m_X$$ m X is smaller, of the same order, or larger than the mass of the final quark $$Q_2$$ Q 2 . A dependence of the improved Coefficient function on the threshold variable is introduced, which can however be relegated to a small interval of this variable by means of the so-called Partition of Unity. We explicitly apply our improved scheme to the $$b \rightarrow X_s \, + \gamma $$ b → X s + γ decay at next-to-leading logarithmic accuracy. |
| first_indexed | 2024-03-13T10:12:47Z |
| format | Article |
| id | doaj.art-a79f43cde0904bb9958102a509682b5c |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-03-13T10:12:47Z |
| publishDate | 2023-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-a79f43cde0904bb9958102a509682b5c2023-05-21T11:24:19ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-04-0183412610.1140/epjc/s10052-023-11440-yImproved factorization for threshold resummation in heavy quark to heavy quark decaysU. G. Aglietti0G. Ferrera1Dipartimento di Fisica, Università di Roma “La Sapienza”Dipartimento di Fisica, Università di Milano and INFN Sezione di MilanoAbstract We consider the resummation of soft-gluon effects in heavy quark to heavy quark decays, namely the processes $$Q_1 \rightarrow Q_2 \, + \, \mathrm {(non\,QCD\, partons)}$$ Q 1 → Q 2 + ( non QCD partons ) , where $$Q_1$$ Q 1 and $$Q_2$$ Q 2 are two different heavy quarks. We construct a new factorization scheme for threshold resummed spectra, which allows us to consistently evaluate the distribution of the final hadron invariant mass $$m_X$$ m X in all the kinematic regions, i.e. when $$m_X$$ m X is smaller, of the same order, or larger than the mass of the final quark $$Q_2$$ Q 2 . A dependence of the improved Coefficient function on the threshold variable is introduced, which can however be relegated to a small interval of this variable by means of the so-called Partition of Unity. We explicitly apply our improved scheme to the $$b \rightarrow X_s \, + \gamma $$ b → X s + γ decay at next-to-leading logarithmic accuracy.https://doi.org/10.1140/epjc/s10052-023-11440-y |
| spellingShingle | U. G. Aglietti G. Ferrera Improved factorization for threshold resummation in heavy quark to heavy quark decays European Physical Journal C: Particles and Fields |
| title | Improved factorization for threshold resummation in heavy quark to heavy quark decays |
| title_full | Improved factorization for threshold resummation in heavy quark to heavy quark decays |
| title_fullStr | Improved factorization for threshold resummation in heavy quark to heavy quark decays |
| title_full_unstemmed | Improved factorization for threshold resummation in heavy quark to heavy quark decays |
| title_short | Improved factorization for threshold resummation in heavy quark to heavy quark decays |
| title_sort | improved factorization for threshold resummation in heavy quark to heavy quark decays |
| url | https://doi.org/10.1140/epjc/s10052-023-11440-y |
| work_keys_str_mv | AT ugaglietti improvedfactorizationforthresholdresummationinheavyquarktoheavyquarkdecays AT gferrera improvedfactorizationforthresholdresummationinheavyquarktoheavyquarkdecays |