Higgs Mass and Muon Anomalous Magnetic Moment in Supersymmetric Models with Vector-Like Matters
Motoi Endo, Koichi Hamaguchi, Sho Iwamoto, Norimi Yokozaki

TL;DR
This paper investigates how extending the minimal supersymmetric Standard Model with vector-like matter can simultaneously explain the muon g-2 anomaly and achieve a heavy Higgs boson mass within GMSB and mSUGRA frameworks.
Contribution
It demonstrates that adding vector-like matters allows for explaining muon g-2 and a heavy Higgs mass simultaneously in supersymmetric models, with specific mass predictions.
Findings
Higgs mass can exceed 135 GeV in GMSB models while fitting muon g-2
Higgs mass can reach about 130 GeV in mSUGRA models with muon g-2
Higgs mass can be above 140 GeV if muon g-2 constraint is relaxed
Abstract
We study the muon anomalous magnetic moment (muon g-2) and the Higgs boson mass in a simple extension of the minimal supersymmetric (SUSY) Standard Model with extra vector-like matters, in the frameworks of gauge mediated SUSY breaking (GMSB) models and gravity mediation (mSUGRA) models. It is shown that the deviation of the muon g-2 and a relatively heavy Higgs boson can be simultaneously explained in large tan-beta region. (i) In GMSB models, the Higgs mass can be more than 135 GeV (130 GeV) in the region where muon g-2 is consistent with the experimental value at the 2 sigma (1 sigma) level, while maintaining the perturbative coupling unification. (ii) In the case of mSUGRA models with universal soft masses, the Higgs mass can be as large as about 130 GeV when muon g-2 is consistent with the experimental value at the 2 sigma level. In both cases, the Higgs mass can be above 140 GeV…
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