Abstract
Starting from the general effective hamiltonian relevant to the $b\to s$ transitions, we derive the expressions for the full angular distributions of the $B \to K^{(\ast )} \ell_1 \ell_2$ decay modes, as well as for ${\cal B}(B_s \to \ell_1\ell_2 )$ ($\ell_1\neq \ell_2$). We point out the differences in the treatment of the lepton flavor violating modes with respect to the lepton flavor conserving ones. Concerning the relevant Wilson coefficients we evaluate them in two different scenarios: (i) The (pseudo-)scalar coefficients are obtained using the (pseudo-)scalar coupling extracted from the experimental non-zero value of ${\cal B}(h\to \mu\tau)$, (ii) Revisiting a $Z^\prime$-model in which the flavor changing neutral couplings are allowed. We provide the numerical estimates of the branching fractions of the above-mentioned modes in both scenarios.
Highlights
The significant effects of beyond the SM (BSM) physics were expected to affect the hadronic part of the b → s + − processes, it turned out that the most surprising effect came from the ratio RK = B(B B(B → → K μ+ K e+μ−)q2∈[1,6] GeV2 e−)q2∈[1,6] GeV2 (1)the measured value of which, RK = 0.745 +90 −74(36) [13], turned out to be 2.6σ lower than the one predicted in the Standard Model (SM) [14]
3 A case of CS,P = 0: coupling to Higgs we focus on the specific example of a scenario in which the lepton flavor violation (LFV) is generated through the scalar operators
In the present paper we discussed the possibility of observing the LFV modes in exclusive decays based on b →
Summary
The significant effects of BSM physics were expected to affect the hadronic part of the b → s + − processes, it turned out that the most surprising effect came from the ratio. J. C (2016) 76:134 operator, via coupling to the Higgs boson, and estimate the size of the Wilson coefficients CSμ,τP from the experimental information on B(h → τ μ), and predict the decay rates of the above-mentioned processes; (ii) We use a model with a Z -boson in which the LFV is generated by the vector interaction, estimate the Wilson coefficients C9μ,τ10 by the known information as regards the Bs–Bs mixing and the other low energy observables. C (2016) 76:134 operator, via coupling to the Higgs boson, and estimate the size of the Wilson coefficients CSμ,τP from the experimental information on B(h → τ μ), and predict the decay rates of the above-mentioned processes; (ii) We use a model with a Z -boson in which the LFV is generated by the vector interaction, estimate the Wilson coefficients C9μ,τ10 by the known information as regards the Bs–Bs mixing and the other low energy observables This latter option has been discussed in Ref. In order to compare with the expressions for At and AS from Ref. [45] one needs to identify
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