Vacuum Stability and Higgs Diphoton Decay Rate in the Zee-Babu Model

Abstract

Although recent Higgs data from ATLAS and CMS are compatible with a Standard Model (SM) signal at $2\sigma$ level, both experiments see indications for an excess in the diphoton decay channel, which points to new physics beyond the SM. Given such a low Higgs mass $m_H\sim 125\mathrm{GeV}$, another sign indicating the existence of new physics beyond the SM is the vacuum stability problem, i.e., the SM Higgs quartic coupling may run to negative values at a scale below the Planck scale. In this paper, we study the vacuum stability and enhanced Higgs diphoton decay rate in the Zee-Babu model, which was used to generate tiny Majorana neutrino masses at two-loop level. We find that it is rather difficult to find overlapping regions allowed by the vacuum stability and diphoton enhancement constraints. As a consequence, it is almost inevitable to introduce new ingredients into the model, in order to resolve these two issues simultaneously.

19 pages, 6 figures

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• Stau with Large Mass Difference and Enhancement of the Higgs to Diphoton Decay Rate in the MSSM
• An effective gauge-Higgs operators analysis of new physics associated with the Higgs
• Constraining a class of B-L extended models from vacuum stability and perturbativity
• Status of the Zee-Babu model for neutrino mass and possible tests at a like-sign linear collider
• TeV Scale Universal Seesaw, Vacuum Stability and Heavy Higgs
• Neutrino Masses and Higgs Vacuum Stability
• Custodial Leptons and Higgs Decays
• Higgs Vacuum Stability with Vector-like Fermions
• Higgs Vacuum Stability in a Mass-Dependent Renormalisation Scheme
• Higgs Vacuum Stability in $B-L$ extended Standard Model
• Vector bileptons and the decays $h\to \gamma \gamma ,Z\gamma$
• Phenomenological Aspects of TeV Scale Alternative Left-Right Model
• Charged scalars confronting neutrino mass and muon g-2 anomaly
• A light triplet boson and Higgs-to-diphoton in supersymmetric type II seesaw
• Vacuum Stability in Inert Higgs Doublet Model with Right-handed Neutrinos
• Radiative Electroweak Symmetry Breaking in Standard Model Extensions