Symmetry-breaking corrections to heavy-to-light B meson form factors at large recoil

Abstract

Recently it has been shown that symmetries emerging in the heavy quark and large recoil energy limit impose various relations on form factors that parametrise the decay of B mesons into light mesons. These symmetries are broken by perturbative effects. In this paper we discuss the structure of heavy-to-light form factors including such effects and compute symmetry-breaking corrections to first order in the strong coupling. As an application of our results we consider the forward-backward asymmetry zero in the rare decay B -> V l^+ l^- and the possibility to constrain potential new physics contributions to the Wilson coefficient C_9.

30 pages, LaTeX (typos in eq. (44), (46) corrected)

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• Implications for the $\Delta A_{FB}$ anomaly in ${\bar{B}}^0\to D^{\ast +}{\ell }^{-}\bar{\nu }$ using a new Monte Carlo Event Generator
• Long-distance weak annihilation contribution to the $B^{\pm }\to ({\pi }^{\pm },K^{\pm }){\ell }^{+}{\ell }^{-}$ decays
• $B\to K^{\ast }{l}^{+}{l}^{-}$: Zeroes of angular observables as test of standard model
• Semileptonic $B_s\to K_0^{\ast }(1430)$ transitions with the light-cone sum rules
• B meson light-cone distribution amplitudes and heavy-quark symmetry
• Light-Cone HQET Sum Rules for the B --> pi Transition with 1/m_Q Corrections
• Implications from $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ observables using $3{\text{fb}}^{-1}$ of LHCb data
• Study of the $B_c$ $\to$ $B_s\pi$ decay with the perturbative QCD approach
• Ward Identities, B-> ρForm Factors and |V_ub|
• Factorizing the hard and soft spectator scattering contributions for the nucleon form factor F_1 at large Q^2
• Calculation of the Branching Ratio of $B^{-}\to h_c+K^{-}$ in PQCD
• Wide-angle photo- and electroproduction of pions to twist-3 accuracy
• $B\to K{\eta }^{(\prime )}\gamma$ decays in the standard model and in scenarios with universal extra dimensions
• Study of $B_s$ $\to$ ${\eta }_c(J/\psi )D$ decay with perturbative QCD approach
• Study of the four-body decays $B_S^0\to \pi \pi \pi \pi$ in the perturbative QCD approach
• Flavour Anomalies in $b\to s{\ell }^{+}{\ell }^{-}$ Processes - a round table Discussion
• Finding flavons at colliders
• New physics in the angular distribution of $B_c^{-}\to J/\psi (\to {\mu }^{+}{\mu }^{-}){\tau }^{-}(\to {\pi }^{-}{\nu }_{\tau }){\bar{\nu }}_{\tau }$ decay
• Possible solution of the puzzle for the branching ratio and $CP$ violation in $B\to \pi \pi$ decays with a modified perturbative QCD approach
• The perturbative QCD factorization of $\rho {\gamma }^{\star }\to \rho$
• Vertex renormalization and hard scattering symmetry breaking corrections to $B$ to axial vector meson form factors at large recoil
• Chiral dynamics and S-wave contributions in ${\bar{B}}^0/D^0\to {\pi }^{\pm }\eta l^{\mp }\nu$ decays
• Rare B-Meson Decays at the Crossroads
• Renormalization-Group Evolution of the None-local Matrix Element of $B$-meson In QCD and $B\to \pi$ transition form factor
• Reinvestigating the $B$ $\to$ $PV$ decays by including the contributions from ${\varphi }_{B2}$ with the perturbative QCD approach
• Probing new physics in class-I $B$-meson decays into heavy-light final states
• Contribution of low-lying vector resonances to polarization observables in \bar B_d^0 -> \bar K*0 e+ e- decay
• Theoretical Introduction to B Decays and the Soft-Collinear Effective Theory
• $W$ radiative decay to heavy-light mesons in HQET factorization through $\mathcal{O}({\alpha }_s)$
• Footprint in fitting $B\to D$ vector form factor and determination for $D$-meson leading-twist LCDA
• Note on helicity amplitudes in D to V semileptonic decays
• SCET sum rules for heavy-to-light form factors
• Probing the structure of the $B$ meson with $B\to \ell \ell {\ell }^{\prime }\nu$
• Study of $B\to PP$ decays in the modified perturbative QCD approach
• Study of f_0(980) and f_0(1500) from B_s \to f_0(980)K, f_0(1500)K Decays
• Isospin in $B$ Decays and the $(B^0{\bar{B}}^0)/(B^{+}{B}^{-})$ Production Ratio
• Model independent investigation of rare semileptonic b \to u l \barν_l decay processes
• The $\rho (770,1450)\to \omega \pi$ contributions for three-body decays $B\to {\bar{D}}^{(\ast )}\omega \pi$
• CP violation in polarized B-> pi ell+ ell- and B-> rho ell+ ell- decays
• Semileptonic $B_{(s)}\to a_1(K_1){\ell }^{+}{\ell }^{-}$ decays via the light-cone sum rules with $B$-meson distribution amplitudes
• Accuracy and Precision in Collider Event Shapes
• QCD Approach to B->D πDecays and CP Violation
• Soft-collinear factorization in B decays
• $\gamma \gamma \to M^{+}{M}^{-}(M=\pi ,K)$ processes with twist-3 corrections in QCD
• Branching Fraction of the Decay $B^{+}\to {\pi }^{+}{\tau }^{+}{\tau }^{-}$ and Lepton Flavor Universality Test via the Ratio $R_{\pi }(\tau /\mu )$
• Comments on $\left|\frac{V_{ub}}{V_{cb}}\right|$ and $|V_{ub}|$ from Non-leptonic $B$ Decays within the Perturbative QCD Approach
• The next-to-leading order corrections to $B\to \rho$ transition in the $k_T$ factorization
• Study of $B\to \rho \eta$, $\rho {\eta }^{\prime }$ decays in the modified perturbative QCD approach
• The B\to D_s^{(*)}η^{(\prime)} decays in the perturbative QCD
• The B\to D_s^{(*)}πdecays in the perturbative QCD
• The two-pseudoscalar-meson decay of ${\chi }_{cJ}$ with twist-3 corrections
• QCD Factorization Based on Six-Quark Operator Effective Hamiltonian from Perturbative QCD and Charmless Bottom Meson Decays $B_{(s)}\to \pi \pi ,\pi K,KK$
• Twist-3 contributions to $\gamma \gamma \to {\pi }^{+}{\pi }^{-},K^{+}{K}^{-}$ processes in perturbative QCD approach
• Next-to-Leading-logarithm threshold resummation for exclusive $B$ meson decays
• Determination of |Vub|
• Reappraisal of the minimal flavoured $Z^{\prime }$ scenario
• Semileptonic $W$ Decay to the $B$ Meson with Lepton Pairs in Heavy Quark Effective Theory Factorization upto $\mathcal{O}$$({\alpha }_s)$
• Invisible and Semi-invisible Decays of Bottom Baryons
• Towards a Global Analysis of the $b\to c\bar{u}q$ Puzzle
• $B_c\to {\eta }_c$ form factors at large recoil: Interplay of soft-quark and soft-gluon dynamics
• Endpoint behavior of high-energy scattering cross sections
• Next-to-leading Order Calculations of the Radiative and Semileptonic Rare B Decays in the Standard Model and Comparison with Data
• Study of f_0(980) and f_0(1500) from B_s \to f_0(980)π, f_0(1500)πDecays
• Heavy-to-light decays at large recoil: Systematic treatment of short- and long-distance QCD effects
• Factorization, Effective Field Theory, and B-> D^(*) X Decays
• Recent developments in radiative B decays
• On the Dalitz plot analysis of the B --> K eta gamma decays
• Factorization, resummation and sum rules for heavy-to-light form factors
• Observations of Chiral Odd GPDs and their Implications
• Theory of hadronic B decays
• Higher-twist corrections to $D\to \pi ,K$ form factors from light-cone sum rules
• QED factorization of two-body non-leptonic and semi-leptonic $B$ to charm decays
• Light-cone sum rules for the heavy-to-light transition in the effective theory
• Charged and Neutral ${\bar{B}}_{u,d,s}\to \gamma$ Form Factors from Light Cone Sum Rules at NLO
• Hard exclusive production of two pions in $\gamma \gamma$-collisions within the SCET factorization approach
• Contributions from ${\Phi }_{B2}$ to the $B$ $\to$ $PP$ decays within the QCD factorization
• Exclusive decays ${\chi }_{cJ}\to K^{\ast }(892)K$ within the effective field theory framework
• The semileptonic decays of $B/B_s$ meson in the perturbative QCD approach: A short review
• Distribution Amplitudes of Heavy Hadrons: Theory and Applications
• Recent progress in decays of $b$ and $c$ hadrons
• Semileptonic neutral current decays of ${\Xi }_b$ with dileptons or dineutrinos in the final state
• Taming the end-point singularities in heavy-to-light decays
• Role of Resonances in Heavy Meson Processes within Standard Model and Beyond
• Study of B^{0}_{s} \rightarrow \ TT(a_{2}(1320),K^{*}_{2}(1430),f_{2}(1270),f^{'}_{2}(1525)) in the perturbative QCD approach
• Minimal Ward-Takahashi Vertices and Pion Light Cone Distribution Amplitudes from Gauge Invariant, Nonlocal, Dynamical Quark Model
• Light-cone sum rules with $B$-meson distribution amplitudes for the $B\to p$ form factors in $B$-mesogenesis models
• New physics search in the LHCb era
• Branching fraction, $CP$ asymmetry, and polarization in $B\to \rho \rho$ decays with the modified perturbative QCD approach
• Power corrections in heavy-to-light decays at large recoil energy
• Non-leptonic B-decays in and beyond QCD Factorisation
• Phenomenological analysis of charmless $B\to PV$ decays in the modified perturbative QCD approach
• B-Mesons on the Transverse Lattice
• $B$ to light meson form factors with end-point cutoff
• Next-to-leading-order QCD calculations of $B\to A$ form factors with higher-twist corrections
• Model-independent unbinned analysis of $B\to K^{\ast }(\to K^{+}{\pi }^{-}){\mu }^{+}{\mu }^{-}$: zeroes, bounds, Wilson coefficients and symmetries