QCD light-cone distribution amplitudes of heavy mesons from boosted HQET

Abstract Light-cone distribution amplitudes (LCDAs) frequently arise in factorization theorems involving light and heavy mesons. The QCD LCDA for heavy mesons includes short-distance physics at energy scales of the heavy-quark mass. In this paper we achieve the separation of this perturbative scale...

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Main Authors: Martin Beneke, Gael Finauri, K. Keri Vos, Yanbing Wei
Format: Article
Language:English
Published: SpringerOpen 2023-09-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP09(2023)066
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author Martin Beneke
Gael Finauri
K. Keri Vos
Yanbing Wei
author_facet Martin Beneke
Gael Finauri
K. Keri Vos
Yanbing Wei
author_sort Martin Beneke
collection DOAJ
description Abstract Light-cone distribution amplitudes (LCDAs) frequently arise in factorization theorems involving light and heavy mesons. The QCD LCDA for heavy mesons includes short-distance physics at energy scales of the heavy-quark mass. In this paper we achieve the separation of this perturbative scale from the purely hadronic effects by matching the QCD LCDA to the convolution of a perturbative function with the universal, quark-mass independent LCDA defined in heavy-quark effective theory. This factorization allows to resum potentially large logarithms between ΛQCD and m Q as well as between m Q and the scale Q of the hard process in the production of boosted heavy mesons at colliders. As an application we derive new theoretical predictions for the branching ratio of the decay W ± → B ± γ. Furthermore, we provide phenomenological models for the QCD LCDAs of both the B ¯ $$ \overline{B} $$ and D mesons expressed as expansions in Gegenbauer polynomials.
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spelling doaj.art-7b8f272c30694e7597b73308546d3b122023-12-31T12:06:55ZengSpringerOpenJournal of High Energy Physics1029-84792023-09-012023915410.1007/JHEP09(2023)066QCD light-cone distribution amplitudes of heavy mesons from boosted HQETMartin Beneke0Gael Finauri1K. Keri Vos2Yanbing Wei3Physik Department T31, James-Franck-Straße 1, Technische Universität MünchenPhysik Department T31, James-Franck-Straße 1, Technische Universität MünchenGravitational Waves and Fundamental Physics (GWFP), Maastricht UniversityPhysik Department T31, James-Franck-Straße 1, Technische Universität MünchenAbstract Light-cone distribution amplitudes (LCDAs) frequently arise in factorization theorems involving light and heavy mesons. The QCD LCDA for heavy mesons includes short-distance physics at energy scales of the heavy-quark mass. In this paper we achieve the separation of this perturbative scale from the purely hadronic effects by matching the QCD LCDA to the convolution of a perturbative function with the universal, quark-mass independent LCDA defined in heavy-quark effective theory. This factorization allows to resum potentially large logarithms between ΛQCD and m Q as well as between m Q and the scale Q of the hard process in the production of boosted heavy mesons at colliders. As an application we derive new theoretical predictions for the branching ratio of the decay W ± → B ± γ. Furthermore, we provide phenomenological models for the QCD LCDAs of both the B ¯ $$ \overline{B} $$ and D mesons expressed as expansions in Gegenbauer polynomials.https://doi.org/10.1007/JHEP09(2023)066Bottom QuarksEffective Field TheoriesResummationRare Decays
spellingShingle Martin Beneke
Gael Finauri
K. Keri Vos
Yanbing Wei
QCD light-cone distribution amplitudes of heavy mesons from boosted HQET
Journal of High Energy Physics
Bottom Quarks
Effective Field Theories
Resummation
Rare Decays
title QCD light-cone distribution amplitudes of heavy mesons from boosted HQET
title_full QCD light-cone distribution amplitudes of heavy mesons from boosted HQET
title_fullStr QCD light-cone distribution amplitudes of heavy mesons from boosted HQET
title_full_unstemmed QCD light-cone distribution amplitudes of heavy mesons from boosted HQET
title_short QCD light-cone distribution amplitudes of heavy mesons from boosted HQET
title_sort qcd light cone distribution amplitudes of heavy mesons from boosted hqet
topic Bottom Quarks
Effective Field Theories
Resummation
Rare Decays
url https://doi.org/10.1007/JHEP09(2023)066
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