W boson mass anomaly and grand unification

Nov 16, 2022, 12:00 PM



Jason Evans (TDLI)


It is known that the recently reported shift of the W boson mass can be
easily explained by an SU(2)L triplet Higgs boson with a zero hypercharge if it
obtains a vacuum expectation value (VEV) of O(1) GeV. Surprisingly, the addition
of a TeV scale complex triplet Higgs boson to the standard model (SM) leads to a
precise unification of the gauge couplings at around 10^{14} GeV. We consider
that it is a consequence of SU(5) grand unification and show a possible potential
for the Higgs fields yielding a weak scale complex SU(2) triplet scalar boson.
Although it seems the proton decay constraint would doom such a low-scale
unification, we show that the constraint can be avoided by introducing vector-like
fermions which mix with the SM fermions through mass terms involving the VEV of
th GUT breaking Higgs field. Importantly, the simplest viable model only requires
the addition of one pair of vector-like fermions transforming 10 and 10.

Presentation materials