A simple model to explain observed muon sector anomalies and small neutrino masses

Since its inception, no decisive departure from the predictions of the standard model (SM) has been reported. However, recently various experiments have observed a few hints of possible departure from SM predictions in lepton flavor universality observables such as R-K(*), P-5', muon (g-2), R(D(*)), etc. Many of these are observable where deviation from the SM in the range of (2-4)sigma is observed related to the muon (mu) lepton. So these deviations may hint at a possible new physics (NP) in the muon sector. In this work we extend the SM by introducing two SM singlet heavy charged leptons (F-e, F-mu), whose left-handed components are charged under a new U(1)(F) gauge symmetry, one color triplet lepto-quark (phi(Q)) doublet under SU(2)(L), one inert Higgs doublet (phi(l)), and three very heavy Majorana neutrinos (N-iR), all of which are odd under a Z(2) discrete symmetry. One more scalar (f) charged only under the U(1)(F), whose VEV gives masses to the U(1)(F) gauge boson as well as the heavy leptons. With these new particles, we show that the observed anomalies in the muon sector as well as small neutrino masses can be explained taking into account all the other experimental and theoretical constraints to date.