Inverse moment of the $B_s$-meson distribution amplitude from QCD sum rule

Abstract

We derive a QCD sum rule for the inverse moment of the $B_s$-meson light-cone distribution amplitude in HQET. Within this method, the $SU(3{)}_{fl}$ symmetry violation is traced to the strange quark mass and to the difference between strange and nonstrange quark condensate densities. We predict the ratio of inverse moments ${\lambda }_{B_s}/{\lambda }_B=1.19\pm 0.14$ which can be used in various applications of these distribution amplitudes to the analyses of $B_s$-meson decays, provided an accurate value of ${\lambda }_B$ is available from other sources, such as the $B\to \ell {\nu }_{\ell }\gamma$ decay.

arXiv commentMatches with the published version

References in corpus (23)

• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• QCD factorization for B->PP and B->PV decays
• FLAG Review 2019
• RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
• Symmetry-breaking corrections to heavy-to-light B meson form factors at large recoil
• Asymptotics of Heavy-Meson Form Factors
• The B-Meson Distribution Amplitude in QCD
• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
• Renormalization-Group Evolution of the B-Meson Light-Cone Distribution Amplitude
• Radiative leptonic decays of B mesons in QCD
• f_B and f_B_s from QCD sum rules
• Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD
• B meson distribution amplitude from B --> γl ν
• Ioffe-time distributions instead of parton momentum distributions in description of deep inelastic scattering
• Operator product expansion in static-quark effective field theory: large perturbative correction
• Factorization and Sudakov Resummation in Leptonic Radiative B Decay
• Factorization, the light-cone distribution amplitude of the B-meson and the radiative decay B -> gamma l nu_l
• Radiative leptonic decay $B\to \gamma \ell {\nu }_{\ell }$ with subleading power corrections
• Subleading-power corrections to the radiative leptonic $B\to \gamma \ell \nu$ decay in QCD
• Condensates in Quantum Chromodynamics
• Extraction of HQE parameters from unquenched lattice data on pseudoscalar and vector heavy-light meson masses
• Lattice measurements of nonlocal quark condensates, vacuum correlation length, and pion distribution amplitude in QCD
• B-meson distribution amplitudes

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