Dark matter and B -meson anomalies in a flavor dependent gauge symmetry

Parada T P Hutauruk,Takaaki Nomura,Hiroshi Okada,Yuta Orikasa

doi:10.1103/physrevd.99.055041

Abstract

A possibility of explaining the anomalies in the semileptonic $B$-meson decay $B \to K^{*} \mu \bar\mu$ has been explored in the framework of the gauged $U(1)_{\mu-\tau}$ symmetry. Apart from the muon anomalous magnetic moment and neutrino sector, we formulate the model starting with a valid Lagrangian and consider the constraints from the neutral meson mixings, the bounds on direct detection and the relic density of the bosonic dark matter candidate augmented to collider constraints. We search the parameter space, which accommodates the size of the anomaly of the $B \rightarrow K^* \mu \bar \mu$ decay, to satisfy all experimental constraints. We found the allowed region on the plane of the dark matter and $Z'$ masses is a rather narrow compared to the previous analysis.

Highlights

A flavor dependent gauge symmetry is one of the promising candidates for new physics to describe the anomalies and other phenomenologies related with the flavor physics as well as to ensure the dark matter (DM) stability
We briefly introduce a gauged Uð1Þμ−τ symmetry with three families of the vectorlike isospin doublet quarks Q0a, an isospin singlet inert complex boson χ, and singlet boson φ with a nonzero vacuumpeffiffixpectation value (VEV), which is denoted by hφi ≡ vφ= 2, wherepHffiffi is the standard model (SM) Higgs and its VEV is denoted by hHi ≡ vH= 2
Considering a small effect of the charge parity (CP) violation emerges from new physics, the strongest bound is derived by KS → π0μμdecay

Summary

INTRODUCTION

A flavor dependent gauge symmetry is one of the promising candidates for new physics to describe the anomalies and other phenomenologies related with the flavor physics as well as to ensure the dark matter (DM) stability. [2], we have proposed the flavor dependent gauge symmetry This has successfully explained the anomaly of B → KÃlþl− decay through generating the flavor violating Z0 boson interactions at the one-loop level. The DM relic density [27] can be explained by the measured anomalies in the decay of B → KÃlþl− via the s-channel process mediated by the Z0 boson exchange [28,29], where the Z0 boson exchange can avoid a conflict with the constraints from the spin-independent. In our present numerical analysis, we find that the allowed regions of the DM and Z0 masses are narrower than that of the previous analysis This is expected because the decay width of Z0 is larger. IV is devoted to the summary of our results and conclusions

MODEL SETUP AND CONSTRAINTS

NUMERICAL ANALYSIS

SUMMARY AND CONCLUSIONS