Cargando…

New sum rules for the B$_{c}$→ J/ψ form factors

We derive new sum rules for the form factors of the $ {B}_c\to J/\psi \ell {\overline{\nu}}_{\ell } $ semileptonic transitions, employing the vacuum-to-B$_{c}$ correlation function of the J/ψ-interpolating and b → c weak currents. In the heavy quark limit and at a space-like momentum transfer to the...

Descripción completa

Detalles Bibliográficos
Autores principales: Bordone, Marzia, Khodjamirian, Alexander, Mannel, Th.
Lenguaje:eng
Publicado: 2022
Materias:
Acceso en línea:https://dx.doi.org/10.1007/JHEP01(2023)032
http://cds.cern.ch/record/2827616
_version_ 1780973931889426432
author Bordone, Marzia
Khodjamirian, Alexander
Mannel, Th.
author_facet Bordone, Marzia
Khodjamirian, Alexander
Mannel, Th.
author_sort Bordone, Marzia
collection CERN
description We derive new sum rules for the form factors of the $ {B}_c\to J/\psi \ell {\overline{\nu}}_{\ell } $ semileptonic transitions, employing the vacuum-to-B$_{c}$ correlation function of the J/ψ-interpolating and b → c weak currents. In the heavy quark limit and at a space-like momentum transfer to the weak current, a local operator-product expansion is valid for this correlation function. As a result, in the leading power, the non-perturbative input is reduced to the decay constant of B$_{c}$ meson. Furthermore, applying hadronic dispersion relation in the J/ψ channel, we find that a non-vanishing OPE spectral density in the duality interval of J/ψ emerges only at $ \mathcal{O} $(α$_{s}$). We calculate this density in the relevant kinematic regime. The B$_{c}$ → J/ψ form factors at space-like momentum transfer are then calculated from the new sum rules.
id cern-2827616
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2022
record_format invenio
spelling cern-28276162023-01-31T09:22:53Zdoi:10.1007/JHEP01(2023)032http://cds.cern.ch/record/2827616engBordone, MarziaKhodjamirian, AlexanderMannel, Th.New sum rules for the B$_{c}$→ J/ψ form factorshep-phParticle Physics - PhenomenologyWe derive new sum rules for the form factors of the $ {B}_c\to J/\psi \ell {\overline{\nu}}_{\ell } $ semileptonic transitions, employing the vacuum-to-B$_{c}$ correlation function of the J/ψ-interpolating and b → c weak currents. In the heavy quark limit and at a space-like momentum transfer to the weak current, a local operator-product expansion is valid for this correlation function. As a result, in the leading power, the non-perturbative input is reduced to the decay constant of B$_{c}$ meson. Furthermore, applying hadronic dispersion relation in the J/ψ channel, we find that a non-vanishing OPE spectral density in the duality interval of J/ψ emerges only at $ \mathcal{O} $(α$_{s}$). We calculate this density in the relevant kinematic regime. The B$_{c}$ → J/ψ form factors at space-like momentum transfer are then calculated from the new sum rules.We derive new sum rules for the form factors of the $B_c\to J/\psi\, \ell \bar{\nu}_\ell$ semileptonic transitions, employing the vacuum-to-$B_c$ correlation function of the $J/\psi$-interpolating and $b\to c$ weak currents. In the heavy quark limit and at a space-like momentum transfer to the weak current, a local operator-product expansion is valid for this correlation function. As a result, in the leading power, the non-perturbative input is reduced to the decay constant of $B_c$ meson. Furthermore, applying hadronic dispersion relation in the $J/\psi$ channel, we find that a non-vanishing OPE spectral density in the duality interval of $J/\psi$ emerges only at $\mathcal{O}(\alpha_s)$. We calculate this density in the relevant kinematic regime. The $B_c\to J/\psi$ form factors at space-like momentum transfer are then calculated from the new sum rules.arXiv:2209.08851SI-HEP-2022-26P3H-22-094CERN-TH-2022-144oai:cds.cern.ch:28276162022-09-19
spellingShingle hep-ph
Particle Physics - Phenomenology
Bordone, Marzia
Khodjamirian, Alexander
Mannel, Th.
New sum rules for the B$_{c}$→ J/ψ form factors
title New sum rules for the B$_{c}$→ J/ψ form factors
title_full New sum rules for the B$_{c}$→ J/ψ form factors
title_fullStr New sum rules for the B$_{c}$→ J/ψ form factors
title_full_unstemmed New sum rules for the B$_{c}$→ J/ψ form factors
title_short New sum rules for the B$_{c}$→ J/ψ form factors
title_sort new sum rules for the b$_{c}$→ j/ψ form factors
topic hep-ph
Particle Physics - Phenomenology
url https://dx.doi.org/10.1007/JHEP01(2023)032
http://cds.cern.ch/record/2827616
work_keys_str_mv AT bordonemarzia newsumrulesforthebcjpsformfactors
AT khodjamirianalexander newsumrulesforthebcjpsformfactors
AT mannelth newsumrulesforthebcjpsformfactors