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
Summary
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
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