$B\to V\ell^+\ell^-$ in the Standard Model from light-cone sum rules

We present B$_{q}$ → ρ, B$_{q}$ → ω, B$_{q}$ → K$^{∗}$, B$_{s}$ → K$^{∗}$ and B$_{s}$ → ϕ form factors from light-cone sum rules (LCSR) at $ \mathcal{O}\left({\alpha}_s\right) $ for twist-2 and 3 and $ \mathcal{O}\left({\alpha}_s^0\right) $ for twist-4 with updated hadronic input parameters. Three asymptotic light-cone distribution amplitudes of twist-4 (and 5) are determined, necessary for the form factors to obey the equations of motion. It is argued that the latter constrain the uncertainty of tensor-to-vector form factor ratios thereby improving the prediction of zeros of helicity amplitudes of major importance for B → K$^{∗}$ll angular observables. We provide easy-to-use fits to the LCSR results, including the full error correlation matrix, in all modes at low q$^{2}$ as well as combined fits to LCSR and lattice results covering the entire kinematic range for B$_{q}$ → K$^{∗}$, B$_{s}$ → K$^{∗}$ and B$_{s}$ → ϕ. The error correlation matrix avoids the problem of overestimating the uncertainty in phenomenological applications. Using the new form factors and recent computations of non-factorisable contributions we provide Standard Model predictions for B → K$^{∗}$γ as well as B → K$^{∗}$l$^{+}$l$^{−}$ and B$_{s}$ → ϕμ$^{+}$ μ$^{−}$ at low dilepton invariant mass. Employing our B → (ρ,ω) form factor results we extract the CKM element |V$_{ub}$| from the semileptonic decays B → (ρ, ω)lν and find good agreement with other exclusive determinations.