Abstract
We present the first application of QCD light-cone sum rules (LCSRs) with B(s)-meson distribution amplitudes to the \( {B}_{(s)}\to {D}_{(s)0}^{\ast } \) form factors, where \( {D}_{(s)0}^{\ast } \) is a charmed scalar meson. We consider two scenarios for the \( {D}_0^{\ast } \) spectrum. In the first one, we follow the Particle Data Group and consider a single broad resonance \( {D}_0^{\ast }(2300) \). In the second one, we assume the existence of two scalar resonances, \( {D}_0^{\ast }(2105) \) and \( {D}_0^{\ast }(2451) \), as follows from a recent theoretically motivated analysis of B → Dππ decays. The \( B\to {D}_0^{\ast } \) form factors are calculated in both scenarios, also taking into account the large total width of \( {D}_0^{\ast }(2300) \). Furthermore, we calculate the \( {B}_s\to {D}_{s0}^{\ast } \) form factors, considering in this case only the one-resonance scenario with Ds0(2317). In this LCSRs calculation, the c-quark mass is kept finite and the s-quark mass is taken into account. We also include contributions of the two- and three-particle distribution amplitudes up to twist-four. Our predictions for semileptonic \( B\to {D}_0^{\ast}\ell {\nu}_{\ell } \) and \( {B}_s\to {D}_{s0}^{\ast}\ell {\nu}_{\ell } \) branching ratios are compared with the available data and HQET-based predictions. As a byproduct, we also obtain the \( {D}_0^{\ast } \)- and \( {D}_{s0}^{\ast } \)-meson decay constants and predict the lepton flavour universality ratios \( R\left({D}_0^{\ast}\right) \) and \( R\left({D}_{s0}^{\ast}\right) \).
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Acknowledgments
This research was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under grant 396021762 - TRR 257 “Particle Physics Phenomenology after the Higgs Discovery”. R.M. acknowledges the support of this grant via Mercator Fellowship and the hospitality during the visit at Universität Siegen.
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Gubernari, N., Khodjamirian, A., Mandal, R. et al. \( B\to {D}_0^{\ast } \) and \( {B}_s\to {D}_{s0}^{\ast } \) form factors from QCD light-cone sum rules. J. High Energ. Phys. 2023, 15 (2023). https://doi.org/10.1007/JHEP12(2023)015
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DOI: https://doi.org/10.1007/JHEP12(2023)015