Charged and Neutral ${\bar{B}}_{u,d,s}\to \gamma$ Form Factors from Light Cone Sum Rules at NLO

Abstract

We present the first analytic $\mathcal{O}({\alpha }_s)$-computation at twist-$1$,$2$ of the ${\bar{B}}_{u,d,s}\to \gamma$ form factors within the framework of sum rules on the light-cone. These form factors describe the charged decay ${\bar{B}}_u\to \gamma {\ell }^{-}\bar{\nu }$, contribute to the flavour changing neutral currents ${\bar{B}}_{d,s}\to \gamma {\ell }^{+}{\ell }^{-}$ and serve as inputs to more complicated processes. We provide a fit in terms of a $z$-expansion with correlation matrix and extrapolate the form factors to the kinematic endpoint by using the $g_{B{B}^{\ast }\gamma }$ couplings as a constraint. Analytic results are available in terms of multiple polylogarithms as ancillary files. We give binned predictions for the ${\bar{B}}_u\to \gamma {\ell }^{-}\bar{\nu }$ branching ratio along with the associated correlation matrix. By comparing with three SCET-computations we extract the inverse moment $B$-meson distribution amplitude parameter ${\lambda }_B=360(110)\text{MeV}$. The uncertainty thereof could be improved by a more dedicated analysis. In passing, we extend the photon distribution amplitude to include quark mass corrections with a prescription for the magnetic vacuum susceptibility, ${\chi }_q$, compatible with the twist-expansion. The values ${\chi }_q=3.21(15){\text{GeV}}^{-2}$ and ${\chi }_s=3.79(17){\text{GeV}}^{-2}$ are obtained.

arXiv comment54 pp (plus refs), 13 figs, 9 tables and 4 ancillary files (z-expansion fit etc) - version accepted in JHEP results unchanged

References in corpus (57)

• An effective field theory for collinear and soft gluons: heavy to light decays
• New Developments in FeynCalc 9.0
• New Results on B->pi, K, eta Decay Formfactors from Light-Cone Sum Rules
• Symmetry-breaking corrections to heavy-to-light B meson form factors at large recoil
• B_{d,s}->rho, omega, K*, phi Decay Form Factors from Light-Cone Sum Rules Revisited
• Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Formalism and Twist Three Distributions
• Kira - A Feynman Integral Reduction Program
• The Pole Mass of The Heavy Quark. Perturbation Theory and Beyond
• Exclusive Semileptonic and Rare B-Meson Decays in QCD
• Asymptotics of Heavy-Meson Form Factors
• The Uses of Conformal Symmetry in QCD
• pySecDec: a toolbox for the numerical evaluation of multi-scale integrals
• Heavy-to-Light Form Factors in the Final Hadron Large Energy Limit of QCD
• B->pi and B->K Transitions from QCD Sum Rules on the Light-Cone
• Measurement of the $B_s^0\to {\mu }^{+}{\mu }^{-}$ branching fraction and effective lifetime and search for $B^0\to {\mu }^{+}{\mu }^{-}$ decays
• Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Twist-4 Distributions and Meson Mass Corrections
• The B-Meson Distribution Amplitude in QCD
• Photon Distribution Amplitudes in QCD
• Study of the rare decays of $B_s^0$ and $B^0$ mesons into muon pairs using data collected during 2015 and 2016 with the ATLAS detector
• Renormalization-Group Evolution of the B-Meson Light-Cone Distribution Amplitude
• Radiative leptonic decays of B mesons in QCD
• QED Corrections to Hadronic Processes in Lattice QCD
• A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec
• Pion and photon light-cone wave functions from the instanton vacuum
• B meson distribution amplitude from B --> γl ν
• Direct determination of the strange and light quark condensates from full lattice QCD
• QCD corrections to $B\to \pi$ form factors from light-cone sum rules
• Calculation of Long-Distance Effects in Exclusive Weak Radiative Decays of B-Mesons
• Factorization and Sudakov Resummation in Leptonic Radiative B Decay
• Heavy-to-light B meson form factors at large recoil energy -- spectator-scattering corrections
• Factorization, the light-cone distribution amplitude of the B-meson and the radiative decay B -> gamma l nu_l
• $B$-Meson Distribution Amplitude from the $B\to \pi$ Form Factor
• Estimates of the Weak Annihilation Contributions to the Decays $B\to \rho +\gamma$ and $B\to \omega +\gamma$
• Precision calculations of $B\to V$ form factors in QCD
• Magnetic susceptibility of QCD at zero and at finite temperature from the lattice
• HandyG -- rapid numerical evaluation of generalised polylogarithms in Fortran
• Rare radiative leptonic decays B_{d,s}-> l^+l^-γ
• Isospin asymmetries in $B\to (K^{\ast },\rho )\gamma /l^{+}{l}^{-}$ and $B\to K{l}^{+}{l}^{-}$ in and beyond the Standard Model
• Soft contribution to $B\to \gamma \ell {\nu }_{\ell }$ and the $B$-meson distribution amplitude
• Radiative Decay $B\to l\nu \gamma$ in the Light Cone QCD Approach
• First lattice calculation of radiative leptonic decay rates of pseudoscalar mesons
• Gauge invariance and form factors for the decay B --> gamma l^+l^-
• B -> K^* Form Factors from Flavor Data to QCD and Back
• Magnetic susceptibility of QCD matter and its decomposition from the lattice
• Extraction of HQE parameters from unquenched lattice data on pseudoscalar and vector heavy-light meson masses
• Two-loop evolution equation for the B-meson distribution amplitude
• Rare FCNC radiative leptonic $B_{s,d}\to \gamma l^{+}{l}^{-}$ decays in the Standard Model
• Search for the rare decay of $B^{+}\to {\ell }^{+}{\nu }_{\ell }\gamma$ with improved hadronic tagging
• Faking $B_s\to {\mu }^{+}{\mu }^{-}$
• Weak annihilation in the rare radiative $B\to \rho \gamma$ decay
• Two-loop master integrals for the leading QCD corrections to the Higgs coupling to a $W$ pair and to the triple gauge couplings $ZWW$ and ${\gamma }^{\ast }WW$
• Subleading power corrections to $B\to \gamma l\nu$ decay in PQCD approach
• Evolution of the $B$-Meson Light-Cone Distribution Amplitude in Laplace Space
• Counting contact terms in $B\to V\gamma$ decays
• Handbook of Higher Twist Distribution Amplitudes of Vector Mesons in QCD
• On the effective lifetime of $B_s\to \mu \mu \gamma$
• Probing the structure of the $B$ meson with $B\to \ell \ell {\ell }^{\prime }\nu$

Cited by in corpus (1)

• Radiative Decays of Heavy-light Mesons and the $f_{H,H^{\ast },H_1}^{(T)}$ Decay Constants