Abstract
We derive a set of light-cone sum rules relating the S-wave B → Kπ hadronic form factors to the B-meson light-cone distribution amplitudes (LCDAs), taking into account the complete set of LCDAs up to and including twist four. These results complement the sum rules for the P-wave B → Kπ form factors obtained earlier. We then use the new sum rules to estimate the S-wave contributions to B → Kπℓℓ decays as a function of the Kπ invariant mass. We pay particular attention to the fact that the S-wave Kπ spectrum cannot be modelled by a sum of Breit-Wigner resonances, and employ a more consistent dispersive coupled-channel approach. We compare our predictions for branching ratios and angular observables with LHCb measurements in two different kinematic regions, around K∗(892) and \( {K}_0^{\ast }(1430) \). We observe an overall compatibility and discuss possible improvements of our model to obtain a better description of the B → Kπ form factors over a large kinematic range.
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Acknowledgments
S.D.G acknowledges supports from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska - Curie grant agreement No 860881-HIDDeN.
The research of A.K. is supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under the grant 396021762 - TRR 257 “Particle Physics Phenomenology after the Higgs Discovery”.
J.V. acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 700525 ‘NIOBE’, from the Spanish MINECO through the “Ramón y Cajal” program RYC-2017-21870, the “Unit of Excellence María de Maeztu 2020-2023” award to the Institute of Cosmos Sciences (CEX2019-000918-M) and from the grants PID2019-105614GB-C21 and 2017-SGR-92, 2021-SGR-249 (Generalitat de Catalunya).
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Descotes-Genon, S., Khodjamirian, A., Virto, J. et al. Light-cone sum rules for S-wave B → Kπ form factors. J. High Energ. Phys. 2023, 34 (2023). https://doi.org/10.1007/JHEP06(2023)034
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DOI: https://doi.org/10.1007/JHEP06(2023)034