Semileptonic form factors D to pi, K and B to pi, K from a fine lattice

Abstract

We extract the form factors relevant for semileptonic decays of D and B mesons from a relativistic computation on a fine lattice in the quenched approximation. The lattice spacing is a=0.04 fm (corresponding to a^{-1}=4.97 GeV), which allows us to run very close to the physical B meson mass, and to reduce the systematic errors associated with the extrapolation in terms of a heavy quark expansion. For decays of D and D_s mesons, our results for the physical form factors at q^2=0 are as follows: f_+^{D to pi}(0)= 0.74(6)(4), f_+^{D to K}(0)= 0.78(5)(4) and f_+^{D_s to K}(0)=0.68(4)(3). Similarly, for B and B_s we find: f_+^{B to pi}(0)=0.27(7)(5), f_+^{B to K}(0)=0.32(6)(6) and f_+^{B_s to K}(0)=0.23(5)(4). We compare our results with other quenched and unquenched lattice calculations, as well as with light-cone sum rule predictions, finding good agreement.

1+18 pages, 19 eps figures; v2: 1+22 pages, discussion extended, references added, version accepted for publication in EPJ A

References in corpus (16)

• Model-independent description of $B\to \pi l\nu$ decays and a determination of $|V_{ub}|$
• B Meson Semileptonic Form Factors from Unquenched Lattice QCD
• Light-cone sum rules for $B\to \pi$ form factors revisited
• The B -> pi l nu semileptonic form factor from three-flavor lattice QCD: A model-independent determination of |V(ub)|
• B, D and K decays
• B, Bs -> K form factors: an update of light-cone sum rule results
• Measurement of the B0 --> pi l nu Form-Factor Shape and Branching Fraction, and Determination of |Vub| with a Loose Neutrino Reconstruction Technique
• Heavy-Light Semileptonic Decays in Staggered Chiral Perturbation Theory
• Testing QCD Sum Rules on the Light-Cone in D->(pi,K) l nu Decays
• |V_ub| from UTangles and B->pi l nu
• Radiative Corrections on the $B\to P$ Form Factors with Chiral Current in the Light-Cone Sum Rules
• |V_{cd}|, |V_{cs}| and f_{D_s} from (semi) leptonic $D_{(s)}$-decays : signals of New Physics ?
• |Vub| from exclusive semileptonic B to pi decays revisited
• Moving NRQCD for heavy-to-light form factors on the lattice
• Decay constants of charm and beauty pseudoscalar heavy-light mesons on fine lattices
• Parametrisations of the D -> K l nu form factor and the determination of \hat{g}

Cited by in corpus (28)

• $B\to \pi \ell {\nu }_l$ Width and $|V_{ub}|$ from QCD Light-Cone Sum Rules
• Rare decay B -> K ll form factors from lattice QCD
• Theoretical and Phenomenological Constraints on Form Factors for Radiative and Semi-Leptonic B-Meson Decays
• Standard Model predictions for B -> Kll with form factors from lattice QCD
• Two-loop Corrections to the B to pi Form Factor from QCD Sum Rules on the Light-Cone and |V(ub)|
• Effective theory approach to new physics in $b\to u$ and $b\to c$ leptonic and semileptonic decays
• Bayesian Fit of Exclusive $b\to s\bar{\ell }\ell$ Decays: The Standard Model Operator Basis
• Extrapolation and unitarity bounds for the $B\to \pi$ form factor
• A Combined Fit on the Annihilation Corrections in $B_{u,d,s}$ $\to$ $PP$ Decays Within QCDF
• Determination of the pion distribution amplitude
• Decay $D\to K^{(\ast )}{\ell }^{+}{\nu }_{\ell }$ in covariant quark model
• Form factors $f_{+}^{B\to \pi }(0)$ and $f_{+}^{D\to \pi }(0)$ in $QCD$ and determination of $|V_{ub}|$ and $|V_{cd}|$
• Direct CP violation for ${\bar{B}}_s^0\to K^0{\pi }^{+}{\pi }^{-}$ decay in QCD factorization
• Semileptonic and leptonic $B$ decays, circa 2016
• Analyzing $b\to u$ transitions in semileptonic ${\bar{B}}_s\to K^{\ast +}(\to K\pi ){\ell }^{-}{\bar{\nu }}_{\ell }$ decays
• Probing Spectator Scattering and Annihilation Corrections in $B_s$ $\to$ $PV$ Decays
• Implications of unitarity and analyticity for the Dπform factors
• Determination of the CKM matrix elements |V(xb)|
• Brief review on semileptonic B decays
• Recent Developments on the CKM Matrix
• Progress on semi-leptonic $B_{(s)}$ decays
• Status of $|V_{cb}|$ and $|V_{ub}|$ CKM matrix elements
• Tests for CPT sum rule and U-spin violation in Time-dependent CP violation of $B_s^0\to K^{+}{K}^{-}$ and $B_d^0\to {\pi }^{+}{\pi }^{-}$
• The B ---> π K puzzle and the Bulk Randall-Sundurm model
• Constraints on B--->pi,K transition form factors from exclusive semileptonic D-meson decays
• A Simple Expression for Heavy to Light Meson Semileptonic Decays Form Factors
• Flavor-changing axions and Dirac neutrino masses
• SU(3) analysis of nonfactorizable contributions to bottom mesons decays