The $SU(2)_D$ lepton portals for muon $g-2$, $W$ boson mass and dark matter

Abstract

We propose a novel model for lepton flavor and dark matter based on the SU (2) D gauge symmetry and vector-like leptons in its fundamental representations. We introduce a dark SU (2) D Higgs doublet and a Higgs bi-doublet for the mass mixing between the vector-like lepton and the lepton. As a result, the seesaw lepton masses are generated and there are sizable one-loop contributions to the muon g − 2 via the SU (2) D gauge bosons and the relatively heavy vector-like lepton, as indicated in Fermilab E989. The tree-level mass mixing between the Z boson and the isospin neutral gauge boson of SU (2) D in our model accounts for the shift in the W boson mass, being consistent with Tevatron CDFII. Finally, we show that the isospin charged gauge boson of SU (2) D becomes a plausible candidate for dark matter with a small mass splitting tied up to the modified W boson mass, and there is a viable parameter space where the favored corrections to the muon g − 2 and the W boson mass and the dark matter constraints are simultaneously fulfilled.

The muon $g-2$ and $W$-mass anomalies explained and the electroweak vacuum stabilised by extending the minimal Type-II seesaw

“…In fact, the announcement of the W -mass has spurred a series of investigations, each invoking some NP scenario, some of the earliest ones being [21][22][23][24][25][26][27]. Further speculations in this direction have included, for instance, supersymmetric models [28][29][30][31][32][33], non-supersymmetric extended Higgs sectors [34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51], vector-like fermions [52][53][54][55][56],…”