$B\to V{\ell }^{+}{\ell }^{-}$ in the Standard Model from Light-Cone Sum Rules

Abstract

We present $B_q\to \rho$, $B_q\to \omega$, $B_q\to K^{\ast }$, $B_s\to K^{\ast }$ and $B_s\to \varphi$ form factors from light-cone sum rules (LCSR) at $\mathcal{O}({\alpha }_s)$ for twist-2 and 3 and $\mathcal{O}({\alpha }_s^0)$ 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 $B\to K^{\ast }\ell \ell$ 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 $B_q\to K^{\ast }$, $B_s\to K^{\ast }$ and $B_s\to \varphi$. 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 $B\to K^{\ast }\gamma$ as well as $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ and $B_s\to \varphi {\mu }^{+}{\mu }^{-}$ at low dilepton invariant mass. Employing our $B\to (\rho ,\omega )$ form factor results we extract the CKM element $|V_{\mathrm{ub}}|$ from the semileptonic decays $B\to (\rho ,\omega )\ell \nu$ and find good agreement with other exclusive determinations.

64 pages, 7 figures, 15 tables. v3: Minor clarifications, numerics unchanged. Matches version published in JHEP

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• Scrutinizing $B^0$-meson flavor changing neutral current decay into scalar $K_0^{\ast }(1430)$ meson with $b\to s{\ell }^{+}{\ell }^{-}(\nu \bar{\nu })$ transition
• Impact on $L$-observables of a new combined analysis of $B_{d,s}\to K^{(\ast )}$ form factors
• Scrutinizing dark-matter scenarios with $B\to (K,K^{\ast })\bar{\nu }\nu$ decays
• Angular analysis of $\bar{B}\to D_2^{\ast }(\to D\pi )\ell \bar{\nu }$ decay and new physics
• Exploring the role of new physics in $b\to u\tau \bar{\nu }$ decays
• Implications of new physics in $B\to K_1{\mu }^{+}{\mu }^{-}$ decay processes
• Advanced parametrisations for hadronic form factors
• Searching a systematics for nonfactorizable contribution to B-and B0 mesons
• Probing vector- vs scalar-mediator dark-matter scenarios in $B\to (K,K^{\ast })M_X$ decays
• The next-to-leading order corrections to rho meson electromagnetic form factors in the $k_T$ factorization approach
• Exploring the exclusive decay $B^{+}\to \omega {\ell }^{+}\nu$ with light-cone sum rules
• Study of $B\to \rho \eta$, $\rho {\eta }^{\prime }$ decays in the modified perturbative QCD approach
• Contributions of $\rho (770,1450)\to \omega \pi$ for the Cabibbo-favored $D\to h\omega \pi$ decays
• SU(3) analysis of nonfactorizable contributions to bottom mesons decays
• Isospin Mass Differences of the $B$, $D$ and $K$
• An improved calculation of the $D_{(s)}^{\ast }{D}_{(s)}V$ and $B_{(s)}^{\ast }{B}_{(s)}V$ couplings from light-cone sum rules
• Precision Tests in $b\to s{\ell }^{+}{\ell }^{-}$ ($\ell =e,\mu$) at FCC-ee
• Study of CP Violation in $D^{\pm }\to K^{\ast }(892{)}^0{\pi }^{\pm }+{\bar{K}}^{\ast }(892{)}^0{\pi }^{\pm }\to K_{S,L}^0{\pi }^0{\pi }^{\pm }$ Decays
• $B_s\to K^{\ast 0}$ decay form factors from covariant confined quark model
• Enhancing $B_s\to e^{+}{e}^{-}$ to an Observable Level in the Two-Higgs-Doublet Model
• Semileptonic neutral current decays of ${\Xi }_b$ with dileptons or dineutrinos in the final state
• QED factorization of two-body non-leptonic and semi-leptonic $B$ to charm decays
• Recent progress in decays of $b$ and $c$ hadrons
• ${\Xi }_b\to \Xi$ form factors from lattice QCD and Standard-Model predictions for ${\Xi }_b\to \Xi {\mu }^{+}{\mu }^{-}$ and ${\Xi }_b\to \Xi \gamma$ decays
• Tensions in the flavour sector
• A new Monte Carlo Generator for BSM physics in $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ decays with an application to lepton non-universality in angular distributions
• The asymmetries of the $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ decay and the search of new physics beyond the Standard Model
• Rare b-hadron decays as probe of new physics
• Searches for $B^0\to K^{+}{\pi }^{-}{\tau }^{+}{\tau }^{-}$ and $B_s^0\to K^{+}{K}^{-}{\tau }^{+}{\tau }^{-}$ decays
• Round table on Standard Model Anomalies
• Measurement of inclusive $B\to X_u\ell \nu$ partial branching fractions and $|V_{ub}|$ at Belle II
• Novel Model-Independent Approach to Explore New Physics in Five-body Semileptonic Decays
• Branching fraction, $CP$ asymmetry, and polarization in $B\to \rho \rho$ decays with the modified perturbative QCD approach
• Model-independent unbinned analysis of $B\to K^{\ast }(\to K^{+}{\pi }^{-}){\mu }^{+}{\mu }^{-}$: zeroes, bounds, Wilson coefficients and symmetries
• Angular analysis of the decay $B_s^0\to \varphi e^{+}{e}^{-}$
• A unified scheme for calculating the exclusive semi-leptonic decays of hadrons
• Model-agnostic likelihood for the reinterpretation of the $B^{+}\to K^{+}\nu \bar{\nu }$ measurement at Belle II
• Belle II Constraints on the Non-Minimal Universal Extra Dimensional Model
• Analysis of $B\to K{M}_X$ and $B\to K^{\ast }{M}_X$ decays in scalar- and vector-mediator dark-matter scenarios
• Scrutinizing new physics of $B_d\to \varphi ({\eta }^{{(}^{\prime })},\pi ,\omega )$ decay modes
• Revisiting lepton flavor violation: $\tau$ and meson decays
• First search for $B\to X_s\nu \bar{\nu }$ decays
• Phenomenological analysis of charmless $B\to PV$ decays in the modified perturbative QCD approach
• EOS -- A Software for Flavor Physics Phenomenology
• Dark Matter emission at Belle II and NA62 in Minimal Flavor Violation framework
• Polarisation fractions in $B\to V_1{V}_2$: U-Spin constraints and new physics signatures
• Probing mixed-state dark matter and flavor observables in a scalar-assisted baryonic gauge theory
• Re-evaluation of the isoscalar mixing angle within selected mesonic nonets
• Flavor Anomalies and Quark-Lepton Unification
• Explaining the hints for lepton flavour universality violation with three $S_2$ leptoquark generations
• Polarized and un-polarized ${\mathcal{R}}_{K^{\ast }}$ in and beyond the SM
• Investigating non-local contributions in $B_s\to \varphi \bar{\ell }\ell$ including higher-twist effects