Abstract

With updated experimental data and improved theoretical calculations, several significant deviations are being observed between the Standard Model predictions and the experimental measurements of the branching ratios of {overline{B}}_{(s)}^0to {D}_{(s)}^{left(ast right)+}{L}^{-} decays, where L is a light meson from the set {π, ρ, K(∗)}. Especially for the two channels {overline{B}}^0to {D}^{+}{K}^{-} and {overline{B}}_s^0to {D}_s^{+}{pi}^{-} , both of which are free of the weak annihilation contribution, the deviations observed can even reach 4–5σ. Here we exploit possible new-physics effects in these class-I non-leptonic B-meson decays within the framework of QCD factorization. Firstly, we perform a model-independent analysis of the effects from twenty linearly independent four-quark operators that can contribute, either directly or through operator mixing, to the quark-level b → coverline{u}d(s) transitions. It is found that, under the combined constraints from the current experimental data, the deviations observed could be well explained at the 1σ level by the new-physics four-quark operators with γμ(1 − γ5) ⨂ γμ(1 − γ5) structure, and also at the 2σ level by the operators with (1 + γ5) ⨂ (1 − γ5) and (1 + γ5) ⨂ (1 + γ5) structures. However, the new-physics four-quark operators with other Dirac structures fail to provide a consistent interpretation, even at the 2σ level. Then, as two specific examples of model-dependent considerations, we discuss the case where the new-physics four-quark operators are generated by either a colorless charged gauge boson or a colorless charged scalar, with their masses fixed both at the 1 TeV. Constraints on the effective coefficients describing the couplings of these mediators to the relevant quarks are obtained by fitting to the current experimental data.

Highlights

  • In view of the large uncertainties brought by the phenomenological parameters A and φA, it is generally expected that such a model-dependent treatment should give the correct order of magnitude of the weak annihilation effect in B-meson decays into both the charmless [21, 56, 62] and the heavy-light final states [20, 43]

  • We consider the case where two NP four-quark operators with the same Dirac but different color structures are present in eq (2.1), and allow the corresponding two NP Wilson coefficients to vary simultaneously

  • In order to facilitate a full NLO analysis, we have calculated the one-loop vertex corrections to the hadronic matrix elements of the NP fourquark operators involved in these decays, within the QCD factorization (QCDF) framework

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Summary

Effective weak Hamiltonian

The class-I B(0s) → D((s∗))+L− decays are mediated by the quark-level b → cud(s) transitions. The operators belonging to the two sectors V LL and V LR, which are relevant for tree-level contributions mediated by heavy charged gauge bosons in any extension of the SM, can be written, respectively, as [50, 51]. The operators belonging to the two sectors SLL and SLR, which are relevant for tree-level contributions generated by new heavy charged scalars, are given, respectively, by [50, 51]. Wilson coefficients, based on the one- and two-loop QCD ADMs of the NP four-quark operators [48,49,50], as well as the O(αs) corrections to the matching conditions for Ci(μ0). Throughout this paper, we shall assume that the NP Wilson coefficients Ci(μ) as well as the effective couplings ∆Lij,R(A) and ∆Lij,R(H) are all real, and take the same values for both the b → cud and b → cus transitions

Calculation of one-loop vertex corrections
Estimate of weak annihilation contribution
Input parameters
Updated predictions for branching ratios
Model-independent analysis
Low-scale scenario
High-scale scenario
Model-dependent analysis
Colorless charged gauge boson
Colorless charged scalar
Findings
Conclusions

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