W boson mass anomaly and grand unification

Abstract

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 GUT breaking Higgs field. Importantly, the simplest viable model only requires the addition of one pair of vector-like fermions transforming $10$ and $\overline{10}$.

19 pages, 1 figure; references added

References in corpus (7)

• Flavor in Supersymmetry with an Extended R-symmetry
• Search for proton decay via $p\to e^{+}{\pi }^0$ and $p\to {\mu }^{+}{\pi }^0$ with an enlarged fiducial volume in Super-Kamiokande I-IV
• Higgs boson mass and electroweak observables in the MRSSM
• Higgs Triplets and Limits from Precision Measurements
• (Non)decoupling of the Higgs triplet effects
• Low-Energy Effective Theory, Unitarity, and Non-Decoupling Behavior in a Model with Heavy Higgs-Triplet Fields
• Enhancement of Proton Decay Rates in Supersymmetric SU(5) Grand Unified Models

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• Lepton Flavour Violation in minimal grand-unified type II seesaw models
• $W$-Boson Mass Anomaly from a General $SU(2{)}_L$ Scalar Multiplet
• Axionic Dirac seesaw and electroweak vacuum stability
• The anomalous shift of the weak boson mass and the quintessence electroweak axion
• W-boson mass anomaly as a manifestation of spontaneously broken additional SU(2) global symmetry on a new fundamental scale
• Accommodating the CDF W-boson Mass Measurement in the Beautiful Mirror Model