SU_f(3)-Symmetry Breaking Effects of the B\to K Transition Form Factor in the QCD Light-Cone Sum Rules

Abstract

We present an improved calculation of the $B\to K$ transition form factor with chiral current in the QCD light-cone sum rule (LCSR) approach. Under the present approach, the most uncertain twist-3 contribution is eliminated. And the contributions from the twist-2 and the twist-4 structures of the kaon wave function are discussed, including the $S{U}_f(3)$-breaking effects. One-loop radiative corrections to the kaonic twist-2 contribution together with the leading-order twist-4 corrections are studied. The $S{U}_f(3)$ breaking effect is obtained, $\frac{F_{+}^{B\to K}(0)}{F_{+}^{B\to \pi }(0)}=1.16\pm 0.03$. By combining the LCSR results with the newly obtained perturbative QCD results that have been calculated up to $\mathcal{O}(1/m_b^2)$ in Ref.\cite{hwf0}, we present a consistent analysis of the $B\to K$ transition form factor in the large and intermediate energy regions.

arXiv comment21 pages, 7 figures, some typo errors are corrected, to be published in PRD

References in corpus (28)

• New Results on B->pi, K, eta Decay Formfactors from Light-Cone Sum Rules
• Theoretical Update of Pseudoscalar Meson Distribution Amplitudes of Higher Twist: The Nonsinglet Case
• Higher-Twist Distribution Amplitudes of the K Meson in QCD
• Excited Heavy-Light Systems and Hadronic Transitions
• B->pi and B->K Transitions from QCD Sum Rules on the Light-Cone
• Evidence of the Purely Leptonic Decay B- --> tau- nu_tau-bar
• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
• QCD Calculation of the $B\to \pi ,K$ Form Factors
• Moments of pseudoscalar meson distribution amplitudes from the lattice
• 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
• Distribution amplitudes and decay constants for $(\pi ,K,\rho ,K^{\ast })$ mesons in light-front quark model
• On the SU(3) Symmetry-Breaking Corrections to Meson Distribution Amplitudes
• SU(3) Breaking of Leading--Twist K and K* Distribution Amplitudes - a Reprise
• Kaon Distribution Amplitude from QCD Sum Rules
• SU(3) Breaking in K and K* Distribution Amplitudes
• Improved approach to the heavy-to-light form factors in the light-cone QCD sum
• B- to light-meson transition form factors
• QCD Sum Rules for Exclusive Decays of Heavy Mesons
• A Model for the Twist-3 Wave Function of the Pion and Its Contribution to the Pion Form Factor
• Operator Relations for SU(3) Breaking Contributions to K and K* Distribution Amplitudes
• Flavour SU(3) Symmetry in Charmless B Decays
• A Lattice Computation of the First Moment of the Kaon's Distribution Amplitude
• $B-\pi$ weak form factor with chiral current in the light-cone sum rules
• Consistent Analysis of the $B\to \pi$ Transition Form Factor in the Whole Physical Region
• Leading-twist pion and kaon distribution amplitudes in the gauge-invariant nonlocal chiral quark model from the instanton vacuum
• B-Meson Wavefunction with Contributions from 3-particle Fock States
• $B\to K$ Transition Form Factor up to $\mathcal{O}(1/m_b^2)$ within the $k_T$ Factorization Approach

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• Information on the Pion Distribution Amplitude from the Pion-Photon Transition Form Factor with the Belle and BaBar Data
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• The $\rho$-meson longitudinal leading-twist distribution amplitude
• Reconsideration of the $B\to K^{\ast }$ Transition Form Factors within the QCD Light-Cone Sum Rules
• Revisiting the Twist-3 Distribution Amplitudes of $K$ Meson within the QCD Background Field Approach
• 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
• Heavy Pseudoscalar Twist-3 Distribution Amplitudes within QCD Theory in Background Fields
• Determination of the strong coupling $g_{B^{\ast }B\pi }$ from semi-leptonic $B\to \pi \ell \nu$ decay
• Branching fractions and polarizations of $D\to V(\omega ,\rho ,K^{\ast })\ell {\nu }_{\ell }$ within QCD LCSR
• Constraints on the Leading-Twist Pion Distribution Amplitude from A QCD Light-Cone Sum Rule with Chiral Current
• The $B\to \pi \ell {\nu }_{\ell }$ semileptonic decay within the LCSR approach under heavy quark effective field theory
• A Comparative Study of $f_B$ within QCD Sum Rules with Two Typical Correlators up to Next-to-Leading Order
• The semileptonic decays of $B/B_s$ meson in the perturbative QCD approach: A short review