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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...
Autores principales: | , , |
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Lenguaje: | eng |
Publicado: |
2022
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1007/JHEP01(2023)032 http://cds.cern.ch/record/2827616 |
_version_ | 1780973931889426432 |
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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 |