Bounds on the Higgs Mass in Variations of Split Supersymmetry

Abstract

We investigate the limits on the higgs mass in variations of Split Supersymmetry, where the boundary value of the Higgs quartic coupling at the SUSY breaking scale ($m_s$) is allowed to deviate from its value in the minimal model of Arkani-Hamed and Dimopoulos. We show that it is possible for $\lambda (m_s)$ to be negative and use vacuum stability to put a lower bound on this coupling, and hence on the mass of the physical higgs. We also use the requirement of perturbativity of all couplings up to the cutoff to determine an upper limit for the higgs mass in models which are further modified by additional matter content. For $m_s\ge 10^6$ GeV we find 110 GeV $\lesssim m_h\lesssim 280$ GeV if the new matter is not coupled to any Standard Model field; and 110 GeV $\lesssim m_h\lesssim 400$ GeV if it has Yukawa couplings to the higgs.

arXiv comment8 pages, 7 figures

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Cited by in corpus (13)

• Aspects of Split Supersymmetry
• Probing High-Scale and Split Supersymmetry with Higgs Mass Measurements
• Splitting Supersymmetry in String Theory
• Hierarchically Split Supersymmetry with Fayet-Iliopoulos D-terms in String Theory
• Perturbative Unification and Higgs Boson Mass Bounds
• The Higgs Boson Mass in Split Supersymmetry at Two-Loops
• Split Supersymmetry from Anomalous U(1)
• A Calculable Toy Model of the Landscape
• Neutrino Mass from R-parity Violation in Split Supersymmetry
• Structure of split supersymmetry and simple models
• Distinguishing split supersymmetry in Higgs signals at the Large Hadron Collider
• Higgs-mass predictions
• Vacuum Stability in Split Susy and Little Higgs Models