Abstract
We provide results for the full set of form factors describing semileptonic B-meson transitions to pseudoscalar mesons π, K, overline{D} and vector mesons ρ, K∗, {overline{D}}^{ast } . Our results are obtained within the framework of QCD Light-Cone Sum Rules with B-meson distribution amplitudes. We recalculate and confirm the results for the leading-twist two-particle contributions in the literature. Furthermore, we calculate and provide new expressions for the two-particle contributions up to twist four. Following new developments for the three-particle distribution amplitudes, we calculate and provide new results for the complete set of three-particle contributions up to twist four. The form factors are computed numerically at several phase space points using up-to-date input parameters, including correlations across phase space points and form factors. We use a model ansatz for all contributing B-meson distribution amplitudes that is self-consistent up to twist-four accuracy. We find that the higher-twist two-particle contributions have a substantial impact on the results, and dominate over the three-particle contributions. Our numerical results, including correlations, are provided as machine-readable files in the supplementary material. We discuss the qualitative phenomenological impact of our results on the present b anomalies.
Highlights
The hadronic matrix elements for the transitions under discussion are genuinely nonperturbative quantities
We show explicitly in figure 1 that our predictions are compatible with the symmetry limit at large energies; with extrapolations of lattice QCD results within their large uncertainties; and with the rather precise results obtained from Light-Cone QCD Sum Rules (LCSRs) with K∗ Light-Cone Distribution Amplitudes (LCDAs)
We have presented a comprehensive update of Light-Cone Sum Rules (LCSRs) results for the full set of form factors relevant to semileptonic B decays
Summary
We construct the LCSRs for the full set of form factors in the hadronic matrix elements of local flavour-changing b → q1 currents. And throughout this article the form factors are functions of the momentum transfer q2 ≡ (p − k), and p and k denote the B-meson’s and the final-state meson’s momentum, respectively. The linear combinations AB12→V and T2B3→V correspond to form factors for the transition into a longitudinal vector state and simplify the structure of angular coefficients in the differential decay rate of the semileptonic B-meson decays. In the cases F = f+B→P , fTB→P , AB1 →V , AB2 →V , V B→V , and T1B→V we can construct the sum rule for the form factor directly, whereas for the remainder of the cases. Our results for the coefficients C(F,ψ) provide for the first time the complete results for the two- and three-particle contributions up to and including twist four
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