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Third order correction to semileptonic $b\to u$ decay: fermionic contributions
We present the QCD corrections of order $\alpha_s^3$ to the decay rate of $b \to u \ell \bar \nu_\ell$, with $\ell = e,\mu$, originating from diagrams with closed fermion loops and neglecting the mass of the up quark. Our calculation relies on integration-by-parts reduction of Feynman integrals with...
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Lenguaje: | eng |
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2023
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Acceso en línea: | http://cds.cern.ch/record/2875013 |
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author | Fael, Matteo Usovitsch, Johann |
author_facet | Fael, Matteo Usovitsch, Johann |
author_sort | Fael, Matteo |
collection | CERN |
description | We present the QCD corrections of order $\alpha_s^3$ to the decay rate of $b \to u \ell \bar \nu_\ell$, with $\ell = e,\mu$, originating from diagrams with closed fermion loops and neglecting the mass of the up quark. Our calculation relies on integration-by-parts reduction of Feynman integrals with one propagator raised to a symbolic power in Kira and the numerical evaluation of master integrals with AMFlow. This allows us to obtain results for the fermionic contributions to the total semileptonic rate with an accuracy of more than thirty digits. |
id | cern-2875013 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2023 |
record_format | invenio |
spelling | cern-28750132023-10-17T02:02:37Zhttp://cds.cern.ch/record/2875013engFael, MatteoUsovitsch, JohannThird order correction to semileptonic $b\to u$ decay: fermionic contributionshep-phParticle Physics - PhenomenologyWe present the QCD corrections of order $\alpha_s^3$ to the decay rate of $b \to u \ell \bar \nu_\ell$, with $\ell = e,\mu$, originating from diagrams with closed fermion loops and neglecting the mass of the up quark. Our calculation relies on integration-by-parts reduction of Feynman integrals with one propagator raised to a symbolic power in Kira and the numerical evaluation of master integrals with AMFlow. This allows us to obtain results for the fermionic contributions to the total semileptonic rate with an accuracy of more than thirty digits.arXiv:2310.03685CERN-TH-2023-181oai:cds.cern.ch:28750132023-10-05 |
spellingShingle | hep-ph Particle Physics - Phenomenology Fael, Matteo Usovitsch, Johann Third order correction to semileptonic $b\to u$ decay: fermionic contributions |
title | Third order correction to semileptonic $b\to u$ decay: fermionic contributions |
title_full | Third order correction to semileptonic $b\to u$ decay: fermionic contributions |
title_fullStr | Third order correction to semileptonic $b\to u$ decay: fermionic contributions |
title_full_unstemmed | Third order correction to semileptonic $b\to u$ decay: fermionic contributions |
title_short | Third order correction to semileptonic $b\to u$ decay: fermionic contributions |
title_sort | third order correction to semileptonic $b\to u$ decay: fermionic contributions |
topic | hep-ph Particle Physics - Phenomenology |
url | http://cds.cern.ch/record/2875013 |
work_keys_str_mv | AT faelmatteo thirdordercorrectiontosemileptonicbtoudecayfermioniccontributions AT usovitschjohann thirdordercorrectiontosemileptonicbtoudecayfermioniccontributions |