Abstract
We consider a gauged mathrm{U}{(1)}_{L_{mu }-{L}_{tau }} extension of the left-right symmetric theory in order to simultaneously explain neutrino mass, mixing and the muon anomalous magnetic moment. We get sizeable contribution from the interaction of the new light gauge boson Zμτ of the mathrm{U}{(1)}_{L_{mu }-{L}_{tau }} symmetry with muons which can individually satisfy the current bounds on muon (g − 2) anomaly (∆aμ). The other positive contributions to ∆aμ come from the interactions of singly charged gauge bosons WL, WR with heavy neutral fermions and that of neutral CP-even scalars with muons. The interaction of WL with heavy neutrino is facilitated by inverse seesaw mechanism which allows large light-heavy neutrino mixing and explains neutrino mass in our model. CP-even scalars with mass around few hundreds GeV can also satisfy the entire current muon anomaly bound. The results show that the model gives a small but non-negligible contribution to ∆aμ thereby eliminating the entire deviation in theoretical prediction and experimental result of muon (g − 2) anomaly. We have briefly presented a comparative study for symmetric and asymmetric left-right symmetric model in context of various contribution to ∆aμ. We also discuss how the generation of neutrino mass is affected when left-right symmetry breaks down to Standard Model symmetry via various choices of scalars.
Highlights
Many of these new physics scenarios focus on U(1)Lμ−Lτ symmetry to address the anomaly because of the phenomenology associated with its gauge boson Zμτ
We have studied the U(1)Lμ−Lτ extension of left-right symmetric model which can explain non-zero neutrino mass, mixing and muon anomalous magnetic moment within a single framework
Neutrino mass is generated in the model through inverse seesaw mechanism that allows large light-heavy neutrino mixing
Summary
The model is an extension of manifest left-right theory with additional U(1) gauge symmetry where the difference between muon and tau lepton numbers is gauged. We explain one of the low scale seesaw mechanism, i.e, LRSM inverse seesaw (LISS) [60, 94,95,96,97,98,99,100,101,102,103,104,105] in our model where the left-right symmetry breaking occurs at few TeV This symmetry breaking generates TeV scale masses for WR, ZR gauge bosons which fall within the LHC range and the inverse seesaw mechanism provides large light-heavy neutrino mixing. Where the individual components are given as follows: Generic Dirac neutrino mass matrix, LνLNR: the usual Dirac Yukawa interaction Lagrangian that allows Dirac mass terms for charged leptons and neutrinos consistent with the U(1)Lμ−Lτ gauge symmetry is given by, LνLNR ⊃ L(Y Φ + Y Φ ) R = eL [Mi]ee eR + μL [Mi]μμ μR + τL [Mi]τ τ τR (3.2). Both the cases i.e with the diagonal as well as off-diagonal corrections to μ-matrix successfully explain current-day neutrino oscillation data at 3σ interval of global fit by NuFIT 4.1 [93]
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