Determination of $B$-meson distribution amplitudes from $B\to \pi ,K,D$ transition form factors

Abstract

Recent work on $B\to \pi$, $K$ and $B\to D$ form factors from lattice QCD and light-cone sum rules has made it possible to constrain the inverse moment ${\lambda }_B$ of the $B$-meson light-cone distribution amplitudes by performing a global fit of $B\to \pi ,K,D$ form factors. We have compiled the $B\to \pi ,K,D$ form factors calculated by the HPQCD, MILC, and RBC/UKQCD collaborations in the large $q^2$ region. By employing an three-parameter ansatz of the $B$-meson light-cone distribution amplitudes, we express the $B\to \pi ,K,D$ form factors at $q^2=0$ that are calculated from light-cone sum rules, in terms of the inverse moment ${\lambda }_B$ of the leading-twist $B$-meson light-cone distribution amplitude. In the $B\to \pi \ell \nu$ channel, we also include the available $q^2$-binned experimental data from the BaBar, Belle, and Belle~II collaborations. Using the Bourrely-Caprini-Lellouch parametrization, we perform a global fit and obtain ${\lambda }_B=217(19{)}_{-17}^{+82}$~MeV and $|V_{\text{ub}}|=3.68(13{)}_{-1}^{+0}\times 10^{-3}$. The second uncertainty is obtained by constraining ${\lambda }_B>200$ MeV and varying the inverse logarithmic moments ${\hat{\sigma }}_1\in [-0.7,0.7]$ and ${\hat{\sigma }}_2\in [-6,6]$, which represents the model-dependent uncertainty from the $B$-meson light-cone distribution amplitudes. When taking into account ${\lambda }_B$ and ${\hat{\sigma }}_1$ as fitting parameters simultaneously, the intervals of our preditions are ${\lambda }_B=[208,324]$~MeV and ${\hat{\sigma }}_1=[-0.7,0.27]$.

arXiv comment18 pages, 7 figures

References in corpus (53)

• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• Chiral Multiplets of Heavy-Light Mesons
• Asymptotics of Heavy-Meson Form Factors
• Constraints on Form Factors For Exclusive Semileptonic Heavy to Light Meson Decays
• Precision Corrections to Dispersive Bounds on Form Factors
• The B-Meson Distribution Amplitude in QCD
• $B\to P$ and $B\to V$ Form Factors from $B$-Meson Light-Cone Sum Rules beyond Leading Twist
• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
• QCD Calculation of the $B\to \pi ,K$ Form Factors
• Precise heavy-light meson masses and hyperfine splittings from lattice QCD including charm quarks in the sea
• Renormalization-Group Evolution of the B-Meson Light-Cone Distribution Amplitude
• Light-cone sum rules for $B\to \pi$ form factors revisited
• The $V_{cb}$ puzzle: an update
• $B\to \pi \ell {\nu }_l$ Width and $|V_{ub}|$ from QCD Light-Cone Sum Rules
• $B\to \pi \ell \nu$ and $B_s\to K\ell \nu$ form factors and $|V_{ub}|$ from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
• $B\to K{l}^{+}{l}^{-}$ decay form factors from three-flavor lattice QCD
• Precise predictions of charmed-bottom hadrons from lattice QCD
• Use and Misuse of QCD Sum Rules in Heavy-to-light Transitions: the Decay $B\to \rho e\nu$ Reexamined
• Light-Cone Distribution Amplitudes for Heavy-Quark Hadrons
• Theoretical and Phenomenological Constraints on Form Factors for Radiative and Semi-Leptonic B-Meson Decays
• QCD corrections to $B\to \pi$ form factors from light-cone sum rules
• Model-Independent Properties of the B-Meson Distribution Amplitude
• Lattice-Constrained Unitarity Bounds for ${\bar{B}}^0\to {\pi }^{+}{l}^{-}{\bar{\nu }}_l$ Decays
• $B$-Meson Distribution Amplitude from the $B\to \pi$ Form Factor
• $B_s\to K\ell {\nu }_{\ell }$ and $B_{(s)}\to \pi (K){\ell }^{+}{\ell }^{-}$ decays at large recoil and CKM matrix elements
• Radiative leptonic decay $B\to \gamma \ell {\nu }_{\ell }$ with subleading power corrections
• Pion and Kaon Distribution Amplitudes from Lattice QCD
• FLAG Review 2024
• Higher-twist B-meson Distribution Amplitudes in HQET
• Soft contribution to $B\to \gamma \ell {\nu }_{\ell }$ and the $B$-meson distribution amplitude
• Subleading-power corrections to the radiative leptonic $B\to \gamma \ell \nu$ decay in QCD
• Perturbative corrections to $B\to D$ form factors in QCD
• Two-loop Corrections to the B to pi Form Factor from QCD Sum Rules on the Light-Cone and |V(ub)|
• Challenges in Semileptonic B Decays
• Factorization and dispersion relations for radiative leptonic $B$ decay
• Dispersive Analysis of $B\to K^{(\ast )}$ and $B_s\to \varphi$ Form Factors
• EOS -- A Software for Flavor Physics Phenomenology
• $|V_{cb}|$ and $R(D^{(\ast )})$ using lattice QCD and unitarity
• Extrapolation and unitarity bounds for the $B\to \pi$ form factor
• B-Meson Light-Cone Distribution Amplitude: Perturbative Constraints and Asymptotic Behaviour in Dual Space
• Unitarity Bounds for Semileptonic Decays in Lattice QCD
• $B_{d,s}\to \gamma \ell \bar{\ell }$ decay with an energetic photon
• The $\bar{B}\to \pi$ form factors from QCD and their impact on $|V_{ub}|$
• Precision calculations of $B_{d,s}\to \pi ,K$ decay form factors in soft-collinear effective theory
• Inverse moment of the $B_s$-meson distribution amplitude from QCD sum rule
• Constraints for the semileptonic $B\to D^{(\ast )}$ form factors from lattice QCD simulations of two-point correlation functions
• Conformal symmetry of the Lange-Neubert evolution equation
• $B\to D\ell {\nu }_{\ell }$ form factors beyond leading power and extraction of $|V_{cb}|$ and $R(D)$
• Precision calculations of the double radiative bottom-meson decays in soft-collinear effective theory
• Evolution of the $B$-Meson Light-Cone Distribution Amplitude in Laplace Space
• Systematic Parametrization of the Leading $B$-meson Light-Cone Distribution Amplitude
• Padé approximants to $B\to \pi \ell {\nu }_{\ell }$ and $B_s\to K\ell {\nu }_{\ell }$ and determination of $|V_{ub}|$
• Constraining inverse moment of $B$-meson distribution amplitude using Lattice QCD data