B →Vℓ+ℓ− in the Standard Model from light-cone sum rules

B →Vℓ⁺ℓ⁻ in the Standard Model from light-cone sum rules

Aoife Bharucha^1,2,
David M. Straub³ &
Roman Zwicky⁴

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A preprint version of the article is available at arXiv.

Abstract

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.

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Perturbative corrections to B → D form factors in QCD

Article Open access 13 June 2017

Non-factorisable effects in the decays \( {\overline{B}}_s^0\to {D}_s^{+}{\pi}^{-} \) and \( {\overline{B}}^0\to {D}^{+}{K}^{-} \) from LCSR

Article Open access 30 October 2023

Investigating non-local contributions in \( {B}_s\to \phi \overline{\ell}\ell \) including higher-twist effects

Article Open access 03 July 2025

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Physik Department T31, Technische Universität München, James-Franck-Str. 1, 85748, Garching, Germany
Aoife Bharucha
CNRS, Aix Marseille Université, Université de Toulon, CPT, UMR 7332, F-13288, Marseille, France
Aoife Bharucha
Excellence Cluster Universe, Technische Universität München, Boltzmannstr. 2, 85748, Garching, Germany
David M. Straub
Higgs Centre for Theoretical Physics, School of Physics and Astronomy, University of Edinburgh, Edinburgh, EH9 3JZ, Scotland, UK
Roman Zwicky

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Bharucha, A., Straub, D.M. & Zwicky, R. B →Vℓ⁺ℓ⁻ in the Standard Model from light-cone sum rules. J. High Energ. Phys. 2016, 98 (2016). https://doi.org/10.1007/JHEP08(2016)098

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Received: 10 June 2016
Revised: 11 July 2016
Accepted: 31 July 2016
Published: 16 August 2016
DOI: https://doi.org/10.1007/JHEP08(2016)098

B →Vℓ⁺ℓ⁻ in the Standard Model from light-cone sum rules

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Perturbative corrections to B → D form factors in QCD

Non-factorisable effects in the decays \( {\overline{B}}_s^0\to {D}_s^{+}{\pi}^{-} \) and \( {\overline{B}}^0\to {D}^{+}{K}^{-} \) from LCSR

Investigating non-local contributions in \( {B}_s\to \phi \overline{\ell}\ell \) including higher-twist effects

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B →Vℓ+ℓ− in the Standard Model from light-cone sum rules

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Perturbative corrections to B → D form factors in QCD

Non-factorisable effects in the decays \( {\overline{B}}_s^0\to {D}_s^{+}{\pi}^{-} \) and \( {\overline{B}}^0\to {D}^{+}{K}^{-} \) from LCSR

Investigating non-local contributions in \( {B}_s\to \phi \overline{\ell}\ell \) including higher-twist effects

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Keywords

B →Vℓ⁺ℓ⁻ in the Standard Model from light-cone sum rules