Abstract

Recent measurements of b → sμ+μ− processes at LHCb and BELLE have revealed tensions at the 2 − 3σ level between the Standard Model (SM) prediction and the experimental results in the channels B → K*μ+μ− and Bs → ϕμ+μ−, as well as in the lepton-flavor universality violating observable RK = Br(B → Kμ+μ−)/Br(B → Ke+e−). Combined global fits to the available b → sμ+μ− data suggest that these tensions might have their common origin in New Physics (NP) beyond the SM because some NP scenarios turn out to be preferred over the SM by 4 − 5σ. The fact that all these anomalies are related to muons further suggests a connection (and a common NP explanation) with the long-standing anomaly in the anomalous magnetic moment of the muon, aμ. In this article, we study the impact of a generic class of NP models featuring new heavy scalars and fermions that couple to the SM fermions via Yukawa-like interactions. We consider two different scenarios, introducing either one additional fermion and two scalars or two additional fermions and one scalar, and examine all possible representations of the new particles under the SM gauge group with dimension up to the adjoint one. The models induce one-loop contributions to b → sμ+μ− and aμ which are capable of solving the respective anomalies at the 2σ level, albeit a relatively large coupling of the new particles to muons is required. In the case of b → sμ+μ−, stringent constraints from {B}_s-{overline{B}}_s mixing arise which can be relaxed if the new fermion is a Majorana particle.

Highlights

  • Of the dilepton invariant mass m, the measured ratio RK deviates from the theoretically clean Standard Model (SM) prediction [10, 11] by 2.6σ

  • Combined global fits to the available b → sμ+μ− data suggest that these tensions might have their common origin in New Physics (NP) beyond the SM because some NP scenarios turn out to be preferred over the SM by 4 − 5 σ

  • We study the impact of a generic class of NP models featuring new heavy scalars and fermions that couple to the SM fermions via Yukawa-like interactions

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Summary

Observables and bounds on Wilson coefficients

In the previous section we constructed two classes of NP models aiming at an explanation of the b → sμ+μ− anomalies through one-loop box contributions. [63] where results had been given for the gluino-squark and the chargino-squark box in Supersymmetry, corresponding to our representations C-I and A-IV, respectively. The photon penguin does not involve the muon coupling Γμ but exclusively depends on the combination ΓsΓ∗b /m2Ψ(Φ) constrained from b → sγ and Bs − Bs mixing. |CDD (μH )| < 2.7 × 10−7 TeV−2 (at 2 σ), |CDD (μH )| < 3.4 × 10−7 TeV−2 (at 3 σ) To obtain these bounds, we used the recent results for the D0 − D0 system in ref.

Anomalous magnetic moment of the muon
VI ξ9box A B C D
Phenomenological analysis
Majorana case with non-degenerate masses
Conclusions

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