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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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Detalles Bibliográficos
Autores principales: Fael, Matteo, Usovitsch, Johann
Lenguaje:eng
Publicado: 2023
Materias:
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