Quasi-fixed point scenarios and the Higgs mass in the E6 inspired SUSY models

Abstract

We analyse the two-loop renormalization group (RG) flow of the gauge and Yukawa couplings within the E6 inspired supersymmetric (SUSY) models with extra U(1)_{N} gauge symmetry under which right-handed neutrinos have zero charge. In these models single discrete \tilde{Z}^{H}_2 symmetry forbids the tree-level flavor-changing transitions and the most dangerous baryon and lepton number violating operators. We consider two different scenarios A and B that involve extra matter beyond the MSSM contained in three and four 5+\overline{5} representations of SU(5) respectively plus three SU(5) singlets which carry U(1)_{N} charges. In the scenario A the measured values of the SU(2)_W and U(1)_Y gauge couplings lie near the fixed points of the RG equations. In the scenario B the contribution of two--loop corrections spoils the unification of gauge couplings resulting in the appearance of the Landau pole below the Grand Unification scale M_X. The solutions for the Yukawa couplings also approach the quasi fixed points with increasing their values at the scale M_X. We calculate the two--loop upper bounds on the lightest Higgs boson mass in the vicinity of these quasi fixed points and compare the results of our analysis with the corresponding ones in the NMSSM. In all these cases the theoretical restrictions on the SM--like Higgs boson mass are rather close to 125 GeV.

30 pages, 2 figures, some minor changes to the text, references added

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• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Renormalization of vacuum expectation values in spontaneously broken gauge theories
• The upper bound on the lightest Higgs mass in the NMSSM revisited
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• Minimal E_6 Supersymmetric Standard Model
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• Novel Higgs Decays and Dark Matter in the E(6)SSM
• Theoretical upper bound on the mass of the LSP in the MNSSM
• Exotic Higgs decays in the E6 inspired SUSY models
• Neutralino Dark Matter with Inert Higgsinos and Singlinos
• E${}_6$SSM
• The lightest neutralino in the MNSSM
• Lightest Neutralino Mass in the MNSSM
• Renormalization of coupling constants in the minimal SUSY models
• Nonstandard Higgs decays in the E(6)SSM

Cited by in corpus (19)

• 750 GeV Diphoton Resonance from Singlets in an Exceptional Supersymmetric Standard Model
• GUT Physics in the era of the LHC
• Exotic Higgs decays in the E6 inspired SUSY models
• Searching for signatures of $E_6$
• E6 inspired composite Higgs model
• Dark matter candidates in the constrained Exceptional Supersymmetric Standard Model
• Leptogenesis as an origin of dark matter and baryon asymmetries in the E6 inspired SUSY models
• LHC signatures of neutral pseudo-Goldstone boson in the E6CHM
• E6 inspired SUSY models with Custodial Symmetry
• Baryon asymmetry generation in the E6CHM
• Fixed Points in Supersymmetric Extensions of the Standard Model
• E6 inspired composite Higgs model and 750 GeV diphoton excess
• Leptogenesis and Dark Matter-Nucleon Scattering Cross Section in the SE6SSM
• E_6 inspired composite Higgs model and baryon asymmetry generation
• LHC signatures and cosmological implications of the E6 inspired SUSY models
• TeV-scale leptoquark searches at the LHC and their E${}_6$SSM Interpretation
• Nonstandard Higgs decays in the E6 inspired SUSY models
• A Review of the Exceptional Supersymmetric Standard Model
• Interactions of exotic neutralino dark matter with nucleons in $U(1)$ extensions of the MSSM originating from $E_6$ GUTs