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Muon specific two-Higgs-doublet model

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We investigate a new type of a two-Higgs-doublet model as a solution of the muon $g-2$ anomaly. We impose a softly-broken $Z_4$ symmetry to forbid tree level flavor changing neutral currents in a natural way. This $Z_4$ symmetry restricts the structure of Yukawa couplings. As a result, extra Higgs boson couplings to muons are enhanced by a factor of $\tan\beta$, while their couplings to all the other standard model fermions are suppressed by $\cot\beta$. Thanks to this coupling property, we can avoid the constraint from leptonic $\tau$ decays in contrast to the lepton specific two-Higgs-doublet model, which can explain the muon $g-2$ within the 2$\sigma$ level but cannot within the $1\sigma$ level due to this constraint. We find that the model can explain the muon $g-2$ within the 1$\sigma$ level satisfying constraints from perturbative unitarity, vacuum stability, electroweak precision measurements, and current LHC data.

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  • The Advanced Muon Facility: a proposed multi-purpose muon facility at Fermilab hep-ex · 2025-01-26 · conditional · none · ref 12 · internal anchor

    The paper proposes the Advanced Muon Facility, a Fermilab storage ring complex designed to search for charged lepton flavor violation in all three muon-to-electron channels at sensitivities orders of magnitude beyond current experiments.