B → Dℓν ℓ form factors beyond leading power and extraction of |V cb | and R(D)

Abstract We investigate the subleading-power corrections to the exclusive B → Dℓν ℓ form factors at O $$ \mathcal{O} $$ ( α s 0 $$ {\alpha}_s^0 $$ ) in the light-cone sum rules (LCSR) framework by including the two- and three-particle higher-twist contributions from the B-meson light-cone distributi...

Full description

Bibliographic Details
Main Authors: Jing Gao, Tobias Huber, Yao Ji, Chao Wang, Yu-Ming Wang, Yan-Bing Wei
Format: Article
Language:English
Published: SpringerOpen 2022-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP05(2022)024
_version_ 1818251086727741440
author Jing Gao
Tobias Huber
Yao Ji
Chao Wang
Yu-Ming Wang
Yan-Bing Wei
author_facet Jing Gao
Tobias Huber
Yao Ji
Chao Wang
Yu-Ming Wang
Yan-Bing Wei
author_sort Jing Gao
collection DOAJ
description Abstract We investigate the subleading-power corrections to the exclusive B → Dℓν ℓ form factors at O $$ \mathcal{O} $$ ( α s 0 $$ {\alpha}_s^0 $$ ) in the light-cone sum rules (LCSR) framework by including the two- and three-particle higher-twist contributions from the B-meson light-cone distribution amplitudes up to the twist-six accuracy, by taking into account the subleading terms in expanding the hard-collinear charm-quark propagator, and by evaluating the hadronic matrix element of the subleading effective current . Employing further the available leading-power results for the semileptonic B → D form factors at the next-to- leading-logarithmic level and combining our improved LCSR predictions with the recent lattice determinations, we then carry out a comprehensive phenomenological analysis on the semi-leptonic B → Dℓν ℓ decay. We extract V cb = 40.2 − 0.5 + 0.6 th − 1.4 + 1.4 exp × 10 − 3 V cb = 40.9 − 0.5 + 0.6 th − 1.0 + 1.0 exp × 10 − 3 $$ \left|{V}_{cb}\right|=\left({40.2}_{-0.5}^{+0.6}{\left|{{}_{\mathrm{th}}}_{-1.4}^{+1.4}\right|}_{\mathrm{exp}}\right)\times {10}^{-3}\left(\left|{V}_{cb}\right|=\left({40.9}_{-0.5}^{+0.6}{\left|{{}_{\mathrm{th}}}_{-1.0}^{+1.0}\right|}_{\mathrm{exp}}\right)\times {10}^{-3}\right) $$ using the BaBar (Belle) experimental data, and particularly obtain for the gold-plated ratio R(D) = 0.302 ± 0.003.
first_indexed 2024-12-12T16:02:42Z
format Article
id doaj.art-029e3a8273dc4c069727e6889ba63863
institution Directory Open Access Journal
issn 1029-8479
language English
last_indexed 2024-12-12T16:02:42Z
publishDate 2022-05-01
publisher SpringerOpen
record_format Article
series Journal of High Energy Physics
spelling doaj.art-029e3a8273dc4c069727e6889ba638632022-12-22T00:19:23ZengSpringerOpenJournal of High Energy Physics1029-84792022-05-012022514710.1007/JHEP05(2022)024B → Dℓν ℓ form factors beyond leading power and extraction of |V cb | and R(D)Jing Gao0Tobias Huber1Yao Ji2Chao Wang3Yu-Ming Wang4Yan-Bing Wei5School of Physics, Nankai UniversityTheoretische Physik 1, Naturwissenschaftlich-Technische Fakultät, Universität SiegenTheoretische Physik 1, Naturwissenschaftlich-Technische Fakultät, Universität SiegenSchool of Physics, Nankai UniversitySchool of Physics, Nankai UniversitySchool of Physics, Nankai UniversityAbstract We investigate the subleading-power corrections to the exclusive B → Dℓν ℓ form factors at O $$ \mathcal{O} $$ ( α s 0 $$ {\alpha}_s^0 $$ ) in the light-cone sum rules (LCSR) framework by including the two- and three-particle higher-twist contributions from the B-meson light-cone distribution amplitudes up to the twist-six accuracy, by taking into account the subleading terms in expanding the hard-collinear charm-quark propagator, and by evaluating the hadronic matrix element of the subleading effective current . Employing further the available leading-power results for the semileptonic B → D form factors at the next-to- leading-logarithmic level and combining our improved LCSR predictions with the recent lattice determinations, we then carry out a comprehensive phenomenological analysis on the semi-leptonic B → Dℓν ℓ decay. We extract V cb = 40.2 − 0.5 + 0.6 th − 1.4 + 1.4 exp × 10 − 3 V cb = 40.9 − 0.5 + 0.6 th − 1.0 + 1.0 exp × 10 − 3 $$ \left|{V}_{cb}\right|=\left({40.2}_{-0.5}^{+0.6}{\left|{{}_{\mathrm{th}}}_{-1.4}^{+1.4}\right|}_{\mathrm{exp}}\right)\times {10}^{-3}\left(\left|{V}_{cb}\right|=\left({40.9}_{-0.5}^{+0.6}{\left|{{}_{\mathrm{th}}}_{-1.0}^{+1.0}\right|}_{\mathrm{exp}}\right)\times {10}^{-3}\right) $$ using the BaBar (Belle) experimental data, and particularly obtain for the gold-plated ratio R(D) = 0.302 ± 0.003.https://doi.org/10.1007/JHEP05(2022)024NLO ComputationsQCD Phenomenology
spellingShingle Jing Gao
Tobias Huber
Yao Ji
Chao Wang
Yu-Ming Wang
Yan-Bing Wei
B → Dℓν ℓ form factors beyond leading power and extraction of |V cb | and R(D)
Journal of High Energy Physics
NLO Computations
QCD Phenomenology
title B → Dℓν ℓ form factors beyond leading power and extraction of |V cb | and R(D)
title_full B → Dℓν ℓ form factors beyond leading power and extraction of |V cb | and R(D)
title_fullStr B → Dℓν ℓ form factors beyond leading power and extraction of |V cb | and R(D)
title_full_unstemmed B → Dℓν ℓ form factors beyond leading power and extraction of |V cb | and R(D)
title_short B → Dℓν ℓ form factors beyond leading power and extraction of |V cb | and R(D)
title_sort b dlν l form factors beyond leading power and extraction of v cb and r d
topic NLO Computations
QCD Phenomenology
url https://doi.org/10.1007/JHEP05(2022)024
work_keys_str_mv AT jinggao bdlnlformfactorsbeyondleadingpowerandextractionofvcbandrd
AT tobiashuber bdlnlformfactorsbeyondleadingpowerandextractionofvcbandrd
AT yaoji bdlnlformfactorsbeyondleadingpowerandextractionofvcbandrd
AT chaowang bdlnlformfactorsbeyondleadingpowerandextractionofvcbandrd
AT yumingwang bdlnlformfactorsbeyondleadingpowerandextractionofvcbandrd
AT yanbingwei bdlnlformfactorsbeyondleadingpowerandextractionofvcbandrd