Light-cone sum rules for $B\to \pi$ form factors revisited

Abstract

We reconsider and update the QCD light-cone sum rules for $B\to \pi$ form factors. The gluon radiative corrections to the twist-2 and twist-3 terms in the correlation functions are calculated. The $\overline{MS}$ $b$-quark mass is employed, instead of the one-loop pole mass used in the previous analyses. The light-cone sum rule for $f_{B\pi }^{+}(q^2)$ is fitted to the measured $q^2$-distribution in $B\to \pi l{\nu }_l$, fixing the input parameters with the largest uncertainty: the Gegenbauer moments of the pion distribution amplitude. For the $B\to \pi$ vector form factor at zero momentum transfer we predict $f_{B\pi }^{+}(0)=0.26_{-0.03}^{+0.04}$. Combining it with the value of the product $|V_{ub}{f}_{B\pi }^{+}(0)|$ extracted from experiment, we obtain $|V_{ub}|=(3.5\pm 0.4\pm 0.2\pm 0.1)\times 10^{-3}$. In addition, the scalar and penguin $B\to \pi$ form factors $f_{B\pi }^0(q^2)$ and $f_{B\pi }^T(q^2)$ are calculated.

33 pages, 7 figures, one figure and a few comments added, version to appear in JHEP

References in corpus (44)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• New Results on B->pi, K, eta Decay Formfactors from Light-Cone Sum Rules
• QCD at Low Energies
• $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings in QCD
• Theoretical Update of Pseudoscalar Meson Distribution Amplitudes of Higher Twist: The Nonsinglet Case
• Higher-Twist Distribution Amplitudes of the K Meson in QCD
• B->pi and B->K Transitions from QCD Sum Rules on the Light-Cone
• Comment on the heavy-->light form factors
• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
• B Meson Semileptonic Form Factors from Unquenched Lattice QCD
• Heavy Quark Masses from Sum Rules in Four-Loop Approximation
• QCD Calculation of the $B\to \pi ,K$ Form Factors
• Comment on form factor shape and extraction of |V_ub| from B --> pi l nu
• Predictions on $B\to \pi \bar{l}{\nu }_l$, $D\to \pi \bar{l}{\nu }_l$ and $D\to K\bar{l}{\nu }_l$ from QCD Light-Cone Sum Rules
• Averages of b-hadron Properties at the End of 2005
• f_B and f_B_s from QCD sum rules
• Pion Form Factor in QCD at Intermediate Momentum Transfers
• A Precision Model Independent Determination of |Vub| from B -> pi e nu
• Pion form factor in QCD: From nonlocal condensates to NLO analytic perturbation theory
• Scalar K pi form factor and light quark masses
• Radiative Corrections to the Decay $B\to \pi e\nu$ and the Heavy Quark Limit
• Perturbative QCD Correction to the $B\to \pi$ Transition Form Factor
• Kaon Distribution Amplitude from QCD Sum Rules
• Reduction method for dimensionally regulated one-loop N-point Feynman integrals
• $B$-Meson Distribution Amplitude from the $B\to \pi$ Form Factor
• Improved Analysis of B->pi e nu from QCD Sum Rules on the Light-Cone
• QCD factorization for B -> PP
• Heavy-Light Meson Decay Constant from QCD Sum Rules in Three-Loop Approximation
• Light-cone sum rules in soft-collinear effective theory
• Measurement of the B0 --> pi l nu Form-Factor Shape and Branching Fraction, and Determination of |Vub| with a Loose Neutrino Reconstruction Technique
• QCD Sum Rules for Exclusive Decays of Heavy Mesons
• SCET sum rules for B->P and B->V transition form factors
• |V_ub| from UTangles and B->pi l nu
• Light cone QCD sum rule analysis of B -> K l(+) l(-) decay
• The Scalar $B\to \pi$ and $D\to \pi$ Form Factors in QCD
• Full determination of the CKM matrix using recent results from lattice QCD
• Renormalon approach to higher-twist distribution amplitudes and the convergence of the conformal expansion
• |Vub| from exclusive semileptonic B to pi decays revisited
• QCD Sum Rules on the Light-Cone, Factorisation and SCET
• Light-Cone Sum Rules
• QCD Sum Rules for Heavy Flavors

Cited by in corpus (120)

• $B\to V{\ell }^{+}{\ell }^{-}$ in the Standard Model from Light-Cone Sum Rules
• Charm-loop effect in $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ and $B\to K^{\ast }\gamma$
• Model-independent description of $B\to \pi l\nu$ decays and a determination of $|V_{ub}|$
• Flavor Physics in the Quark Sector
• Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
• $B\to \pi \ell {\nu }_l$ Width and $|V_{ub}|$ from QCD Light-Cone Sum Rules
• Light Cone Sum Rules for the pi0-gamma*-gamma Form Factor Revisited
• Form Factors and Strong Couplings of Heavy Baryons from QCD Light-Cone Sum Rules
• Precise Calculation of the Dilepton Invariant-Mass Spectrum and the Decay Rate in $B^{\pm }\to {\pi }^{\pm }{\mu }^{+}{\mu }^{-}$ in the SM
• Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD
• Next-to-leading-order corrections to $B\to \pi$ form factors in $k_T$ factorization
• QCD corrections to $B\to \pi$ form factors from light-cone sum rules
• Branching fraction and form-factor shape measurements of exclusive charmless semileptonic B decays, and determination of |V_{ub}|
• The semileptonic decays $B/B_s\to (\pi ,K)(l^{+}{l}^{-},l\nu ,\nu \bar{\nu })$ in the perturbative QCD approach beyond the leading-order
• Revisiting Charmless Hadronic B_{u,d} Decays in QCD Factorization
• $B_s\to K\ell {\nu }_{\ell }$ and $B_{(s)}\to \pi (K){\ell }^{+}{\ell }^{-}$ decays at large recoil and CKM matrix elements
• $B_s\to f_0(980)$ form factors and $B_s$ decays into $f_0(980)$
• $B\to D^{(\ast )}$ Form Factors from QCD Light-Cone Sum Rules
• Second Moment of the Pion Light-cone Distribution Amplitude from Lattice QCD
• Semileptonic charm decays $D\to \pi l{\nu }_{ł}$ and $D\to Kl{\nu }_l$ from QCD Light-Cone Sum Rules
• Subleading-power corrections to the radiative leptonic $B\to \gamma \ell \nu$ decay in QCD
• The Golden Modes B^0 -> J/psi K_{S,L} in the Era of Precision Flavour Physics
• B, Bs -> K form factors: an update of light-cone sum rule results
• Factorization and dispersion relations for radiative leptonic $B$ decay
• Analysis of the triply heavy baryon states with QCD sum rules
• QCD calculations of $B\to \pi ,K$ form factors with higher-twist corrections
• Effective theory approach to new physics in $b\to u$ and $b\to c$ leptonic and semileptonic decays
• Dispersive Analysis of $B\to K^{(\ast )}$ and $B_s\to \varphi$ Form Factors
• Next-to-leading-order correction to pion form factor in $k_T$ factorization
• On lepton flavour universality in semileptonic $B_c\to {\eta }_c,J/\psi$ decays
• Analysis of Charmless Two-body B decays in Factorization Assisted Topological Amplitude Approach
• Nucleon Form Factors and Distribution Amplitudes in QCD
• $B\to \pi \ell \ell$ form factors for new-physics searches from lattice QCD
• Left-right mixing on leptonic and semileptonic $b\to u$ decays
• Pair creation in non-extremal fuzzball geometries
• Extrapolation and unitarity bounds for the $B\to \pi$ form factor
• Form factors of B, Bs -> eta, eta' and D, Ds -> eta, eta' transitions from QCD light-cone sum rules
• Light-Cone Sum Rules for $B\to K\pi$ Form Factors and Applications to Rare Decays
• Analysis of Two-body Charmed $B$ Meson Decays in Factorization-Assisted Topological-Amplitude Approach
• SU(3) Breaking in Charmless B Decays
• Hadronic effects and observables in $B\to \pi {\ell }^{+}{\ell }^{-}$ decay at large recoil
• Scalar mesons in weak semileptonic decays of $B_{(s)}$
• The $\bar{B}\to \pi$ form factors from QCD and their impact on $|V_{ub}|$
• Exploring $B_s\to D_s^{(\ast )\pm }{K}^{\mp }$ Decays in the Presence of a Sizable Width Difference $\Delta {\Gamma }_s$
• Precision calculations of $B_{d,s}\to \pi ,K$ decay form factors in soft-collinear effective theory
• Hard Pion Chiral Perturbation Theory for $B\to \pi$ and $D\to \pi$ Formfactors
• Measurement of the B^0 --> pi^-ell^+nu and B^+ --> eta^(')ell^+nu Branching Fractions, the B^0 --> pi^-ell^+nu and B^+ --> eta ell^+nu Form-Factor Shapes, and Determination of |V_{ub}|
• B- -> pi- pi0/rho- rho0 to NNLO in QCD factorization
• An improved light-cone harmonic oscillator model for the pionic leading-twist distribution amplitude
• Light-Cone Sum Rules for the $D_{(s)}\to {\eta }^{(\prime )}l{\nu }_l$ Form Factor
• Semileptonic form factors D to pi, K and B to pi, K from a fine lattice
• Radiative Corrections on the $B\to P$ Form Factors with Chiral Current in the Light-Cone Sum Rules
• Electroproduction of the $N^{\ast }(1535)$ nucleon resonance in QCD
• Rates and Asymmetries of B --> pi l+ l- Decays
• Determination of the pion distribution amplitude
• Semileptonic decays $B/B_s \to (η,\etar, G)(l^+l^-,l\barν,ν\barν)$ in the perturbative QCD approach beyond the leading order
• ${\bar{B}}_s\to f_0(980)$ form factors and the width effect from light-cone sum rules
• Flavor dependence of annihilation parameters in QCD factorization
• Search for $B^0\to {\pi }^{-}{\tau }^{+}{\nu }_{\tau }$ with hadronic tagging at Belle
• The $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings from light-cone sum rules
• Implications of the recent measurement of pure annihilation $B_s\to {\pi }^{+}{\pi }^{-}$ decays in QCD factorization
• Rescattering effects in charmless B_{u,d,s} to P P decays
• B physics constraints on a flavor symmetric scalar model to account for the ttbar asymmetry and Wjj excess at CDF
• The Ratio $\mathcal{R}(D)$ and the $D$-meson Distribution Amplitude
• General Analysis of U-Spin Breaking in B Decays
• $B\to K_0^{\ast }(1430)l^{+}{l}^{-}$ decays in supersymmetric theories
• On the significance of B-decays to radially excited D
• The $D_s$-meson leading-twist distribution amplitude within the QCD sum rules and its application to the $B_s\to D_s$ transition form factor
• Mixing angle of doubly heavy baryons in QCD
• Form factors $f_{+}^{B\to \pi }(0)$ and $f_{+}^{D\to \pi }(0)$ in $QCD$ and determination of $|V_{ub}|$ and $|V_{cd}|$
• Heavy and light meson wavefunctions
• Renormalization group equation improved analysis of $B\to \pi$ form factors from Light-Cone Sum Rules
• Nucleon Form Factors to Next-to-Leading Order with Light-Cone Sum Rules
• $K_0^{\ast }(1430)$ Twist-2 Distribution Amplitude and $B_s,D_s\to K_0^{\ast }(1430)$ Transition Form Factors
• Hard exclusive two photon processes in QCD
• |Vub| from Exclusive Semileptonic B--> rho Decays
• Form factor ratios for $B_s\to K\ell \nu$ and $B_s\to D_s\ell \nu$ semileptonic decays and $|V_{ub}/V_{cb}|$
• Padé approximants to $B\to \pi \ell {\nu }_{\ell }$ and $B_s\to K\ell {\nu }_{\ell }$ and determination of $|V_{ub}|$
• Higher-Twist Effects in Light-Cone Sum Rule for the $B\to \pi$ Form Factor
• Branching Fractions of $B$ Meson Decays in Mesogenesis
• Investigating the ratio of CKM matrix elements $|V_{ub}|/|V_{cb}|$ from semileptonic decay $B_s^0\to K^{-}{\mu }^{+}{\nu }_{\mu }$ and kaon twist-2 distribution amplitude
• New results on Pionic Twist-3 Distribution Amplitudes within the QCD Sum Rules
• Finding a way to determine the pion distribution amplitude from the experimental data
• $B-S$ transition form-factors with the light-cone QCD sum rules
• Revisiting $B\to \pi \pi \ell \nu$ at Large Dipion Masses
• Probing isovector scalar mesons in the charmless three-body $B$ decays
• Rare B Decays with a HyperCP Particle of Spin One
• On sum rules for semi-leptonic $b\to c$ and $b\to u$ decays
• Heavy-to-light scalar form factors from Muskhelishvili-Omnès dispersion relations
• W-exchange contribution to the decays ${\Xi }_{cc}^{++}\to {\Xi }_c^{+(\prime )}{\pi }^{+}$ using light-cone sum rules
• Dipion light-cone distribution amplitudes and $B\to \pi \pi$ form factors
• Determination of the strong coupling $g_{B^{\ast }B\pi }$ from semi-leptonic $B\to \pi \ell \nu$ decay
• The $\rho {\gamma }^{\ast }\to \pi (\rho )$ transition form factors in the Perturbative QCD factorization approach
• Properties of the ${\eta }_q$ leading-twist distribution amplitude and its effects to the $B/D^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$ decays
• Study of the $b\to d\ell \ell$ transitions in the Standard Model and test of New Physics sensitivities
• Study of $B\to \pi \ell {\nu }_{\ell }$ and $B^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$ decays and determination of $|V_{ub}|$
• Investigating $D_s^{+}\to {\pi }^0{\ell }^{+}{\nu }_{\ell }$ decay process within QCD sum rule approach
• Long-distance weak annihilation contribution to the $B^{\pm }\to ({\pi }^{\pm },K^{\pm }){\ell }^{+}{\ell }^{-}$ decays
• Rho-pion transition form factors in the $k_T$ factorization formulism revisited
• Probing $|V_{cs}|$ and lepton flavor universality through $D\to K_0^{\ast }(1430)\ell {\nu }_{\ell }$ decay
• $|V_{ub}|$ determination and testing of lepton flavour universality in semileptonic $B_c\to D^{(\ast )}$ decays
• $D\to P(\pi ,K)$ helicity form factors within light-cone sum rule approach
• Extraction of the CKM phase $\gamma$ from charmless two-body B meson decays
• Revisiting Final State Interaction in Charmless $B_q\to PP$ Decays
• Determination of pion distribution amplitudes from the electromagnetic form factor with the data-driven dispersion relation
• Power corrections to the pion transition form factor from higher-twist distribution amplitudes of photon
• Radiative decays of the p-wave charmed heavy baryons
• A Review of the Magnitudes of the CKM Matrix Elements
• Maximising the physics potential of $B^{\pm }\to {\pi }^{\pm }{\mu }^{+}{\mu }^{-}$ decays
• B-Meson Wave Function through A Comparative Analysis of the $B\to \pi$, $K$ Transition Form Factors
• A Comparative Study of $f_B$ within QCD Sum Rules with Two Typical Correlators up to Next-to-Leading Order
• Scrutinizing $B^0$-meson flavor changing neutral current decay into scalar $K_0^{\ast }(1430)$ meson with $b\to s{\ell }^{+}{\ell }^{-}(\nu \bar{\nu })$ transition
• Non-Leptonic Heavy Meson Decays - Theory Status
• An improved calculation of the $D_{(s)}^{\ast }{D}_{(s)}V$ and $B_{(s)}^{\ast }{B}_{(s)}V$ couplings from light-cone sum rules
• Probing $D_s^{\ast }$-meson longitudinal twist-2 LCDA
• Factorization, resummation and sum rules for heavy-to-light form factors
• The semileptonic decays of $B/B_s$ meson in the perturbative QCD approach: A short review
• CP-Violation in B_{q} Decays and Final State Strong Phases
• ${\eta }^{(\prime )}$-meson twist-2 distribution amplitude within QCD sum rule approach and its application to the semi-leptonic decay $D_s^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$
• Determination of $B$-meson distribution amplitudes from $B\to \pi ,K,D$ transition form factors