Abstract
We present a new calculation of the semileptonic tree-level and flavor-changing neutral current form factors describing $B$-meson transitions to tensor mesons $T=D_2^*,K_2^*,a_2,f_2$ ($J^{P}=2^{+}$). We employ the QCD Light-Cone Sum Rules approach with $B$-meson distribution amplitudes. We go beyond the leading-twist accuracy and provide analytically, for the first time, higher-twist corrections for the two-particle contributions up to twist four terms. We observe that the impact of higher twist terms to the sum rules is noticeable. We study the phenomenological implications of our results on the radiative ${B} \to K_2^{*}\gamma$ and semileptonic ${B} \to D_2^* \ell {\bar \nu}_\ell$, ${B} \to K_2^{*}\ell^+\ell^-$ decays.
Highlights
B-meson decays represent a promising area for checking the gauge structure of the standard model (SM), looking for physics beyond it, as well as precise determination of the elements of the Cabibbo-Kobayashi-Maskawa (CKM) matrix.Interest to the B-meson decays increases considerably after a number of measurements that deviate from the respective standard model predictions
If these results are confirmed by the forthcoming experiments, it will be an unambiguous discovery of existence of new physics (NP)
The form factors of B → T transitions are calculated within the light-cone QCD sum rules (LCSRs) [23,24] using B-meson light-cone distribution amplitudes (LCDAs)
Summary
B-meson decays represent a promising area for checking the gauge structure of the standard model (SM), looking for physics beyond it, as well as precise determination of the elements of the Cabibbo-Kobayashi-Maskawa (CKM) matrix. Tension between theory predictions and experimental data has been observed in the ratios RDðÃÞ 1⁄4BðB→DðÃÞτντÞ=BðB→DðÃÞlνlÞ (l1⁄4e, μ) [16,17,18,19], as well as RJψ 1⁄4BðBc → J=ψτντÞ=BðBc →J=ψμνμÞ [20,21] If these results are confirmed by the forthcoming experiments, it will be an unambiguous discovery of existence of new physics (NP). The form factors of B → T transitions are calculated within the light-cone QCD sum rules (LCSRs) [23,24] (for reviews see, e.g., [25]) using B-meson light-cone distribution amplitudes (LCDAs). [41] computes the relevant form factors for B → f2; a2; KÃ2 transitions considering only the φþ; φ B-LCDAs with vanishing virtual quark masses regarding the f2, a2 final states. In Appendix A we collect the twoparticle DAs of the B meson and in Appendix B we present analytical expressions for the coefficient functions needed for the determination of the relevant form factors
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