Abstract
We propose a leptoquark model with two scalar leptoquarks {S}_1left(overline{3},1,frac{1}{3}right) and {tilde{R}}_2left(3,2,frac{1}{6}right) to give a combined explanation of neutrino masses, lepton flavor mixing and the anomaly of muon g − 2, satisfying the constraints from the radiative decays of charged leptons. The neutrino masses are generated via one-loop corrections resulting from a mixing between S1 and {tilde{R}}_2 . With a set of specific textures for the leptoquark Yukawa coupling matrices, the neutrino mass matrix possesses an approximate μ-τ reflection symmetry with (Mν)ee = 0 only in favor of the normal neutrino mass ordering. We show that this model can successfully explain the anomaly of muon g − 2 and current experimental neutrino oscillation data under the constraints from the radiative decays of charged leptons.
Highlights
Motivated by above facts, we attempt to extend the SM to give a combined explanation of the tiny neutrino masses, lepton flavor mixing and muon g − 2
For the purpose of giving a combined explanation of the tiny neutrino masses, lepton flavor mixing and muon g − 2, we have extended the SM with two TeV-scale scalar leptoquarks S1 and R2
After constructing the complete Lagrangian with baryon number conservation, we calculate the neutrino mass matrix generated via one-loop quantum corrections, where the mixing between S1 and R2 resulting from the lepton-number-violating LQ-Higgs interaction plays a greatly significant role
Summary
R2∗ under a global U(1)B symmetry) to avoid potentially dangerous proton decay,[2] the Lagrangian associated with S1. In which H is the SM Higgs doublet, and τ I (for I = 1, 2, 3) and T A After spontaneous gauge symmetry breaking (SSB), which is required to realize lepton number violation and radiatively generate neutrino masses. After the neutral Higgs field obtains its vacuum expectation value, i.e., H0. We will make it clear when referring to the physical fields. The masses of the physical LQs are given by. Given the transformations in eq (2.5), the Yukawa couplings involving the physical. With λ L = V T λL, where we work in the down-type quark and charged-lepton mass eigenstate bases (i.e., di and lα), and the up-type quark fields have been transformed into their mass eigenstates ui by the Cabibbo-Kobayashi-Maskawa (CKM) matrix V
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