Interpretation of 95 GeV Excess within the Georgi-Machacek Model in Light of Positive Definiteness Constraints

Abstract

The recent observation of a di-photon excess around 95 GeV by the CMS and ATLAS Collaborations, along with the $b\bar{b}$ excess reported by the LEP Collaboration in the same mass region, has drawn significant interest in the possibility of new physics beyond the Standard Model (SM). The Georgi-Machacek (GM) model, which extends the Higgs sector of the SM by introducing additional triplet scalars while preserving custodial symmetry at tree level, provides a compelling framework to explain both excesses simultaneously via a light custodial singlet Higgs. In this work, we investigate whether the GM model can still accommodate these excesses when taking into account newly proposed vacuum stability constraints, particularly the positive definiteness conditions. Our numerical analysis not only confirms the existence of a viable parameter space capable of explaining the 95 GeV excesses, but also demonstrates that, compared to traditional tree-level constraints at the electroweak scale, the positive definiteness conditions further expand the allowed parameter space, thereby enhancing the viability of the GM model. Furthermore, we emphasize that future collider experiments will play a crucial role in testing this interpretation by refining Higgs coupling measurements and searching for additional Higgs bosons.

35 pages, 3 figures, 1 table; version published in Phys. Rev. D

References in corpus (22)

• Combined results of searches for the standard model Higgs boson in pp collisions at sqrt(s) = 7 TeV
• Combined search for the Standard Model Higgs boson using up to 4.9 fb-1 of pp collision data at sqrt(s) = 7 TeV with the ATLAS detector at the LHC
• Automatic Calculation of supersymmetric Renormalization Group Equations and Self Energies
• SARAH 3.2: Dirac Gauginos, UFO output, and more
• HiggsSignals-2: Probing new physics with precision Higgs measurements in the LHC 13 TeV era
• The lifetime of the electroweak vacuum and sensitivity to Planck scale physics
• The decoupling limit in the Georgi-Machacek model
• Top mass determination, Higgs inflation, and vacuum stability
• Unitarity bounds in the Higgs model including triplet fields with custodial symmetry
• Indirect constraints on the Georgi-Machacek model and implications for Higgs couplings
• Higgs couplings in a model with triplets
• Revisiting Theories with Enhanced Higgs Couplings to Weak Gauge Bosons
• Electroweak Phase Transition in Georgi-Machacek Model
• Electroweak phase transition and Higgs phenomenology in the Georgi-Machacek model
• Explanation of the 95 GeV $\gamma \gamma$ and $b\bar{b}$ excesses in the Minimal Left-Right Symmetric Model
• Impact of New Physics on the EW vacuum stability in a curved spacetime background
• Searching for the doubly-charged Higgs bosons in the Georgi-Machacek model at the electron-proton colliders
• Double Higgs production at LHC, see-saw type II and Georgi-Machacek model
• 95 GeV excess in a $CP$-violating $\mu$-from-$\nu$ SSM
• Direct Higgs-gravity interaction and stability of our Universe
• Vacuum structure of the ${\mathbb{Z}}_2$ symmetric Georgi-Machacek model
• Searching for the heavy custodial fiveplet Higgs in the Georgi-Machacek model at the International Linear Collider

Cited by in corpus (3)

• Interpretation of LHC excesses at 95 GeV and 152 GeV in an extended Georgi-Machacek model
• Interpreting the 650 GeV and 95 GeV Higgs anomalies in the next-to-two-Higgs-doublet model
• Particle-level transformers for 95 GeV Higgs boson searches at future $e^{+}{e}^{-}$ Higgs factories