Electroweak and supersymmetry breaking from the Higgs discovery

Abstract

We will explore the consequences on the electroweak breaking condition, the mass of supersymmetric partners and the scale at which supersymmetry is broken, for arbitrary values of the supersymmetric parameters tan(beta) and the stop mixing X_t, which follow from the Higgs discovery with a mass m_H\simeq 126 GeV at the LHC. Within the present uncertainty on the top quark mass we deduce that radiative breaking requires tan(beta) \gtrsim 7 for maximal mixing X_t\simeq \sqrt{6}, and tan(beta) \gtrsim 20 for small mixing X_t\lesssim 1. The scale at which supersymmetry is broken \mathcal M can be of order the unification or Planck scale only for large values of tan(beta) and negligible mixing X_t\simeq 0. On the other hand for maximal mixing and large values of tan(beta) supersymmetry should break at scales as low as \mathcal M\simeq 10^5 GeV. The uncertainty in those predictions stemming from the uncertainty in the top quark mass, i.e. the top Yukawa coupling, is small (large) for large (small) values of tan(beta). In fact for tan(beta)=1 the uncertainty on the value of \mathcal M is of several orders of magnitude.

16 pages, 7 figures; v2: numerical typo corrected in codes, and 2 loop radiative corrections added. Some conclusions slightly changed

References in corpus (4)

• 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
• Precise Estimates of the Higgs Mass in Heavy SUSY
• Living Dangerously with Low-Energy Supersymmetry

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• Grand Unification, Axion, and Inflation in Intermediate Scale Supersymmetry
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• Into the multi-TeV scale with a Higgs golden ratio
• Electroweak vacuum stability and finite quadratic radiative corrections
• Probing the high scale SUSY in CP violations of K, B0 and Bs mesons
• Focus Point in the Light Stop Scenario
• $K_L\to {\pi }^0\nu \bar{\nu }$ decay correlating with ${\epsilon }_K$ in high-scale SUSY
• Discriminating between SUSY and Non-SUSY Higgs Sectors through the Ratio $H\to b\bar{b}/H\to {\tau }^{+}{\tau }^{-}$ with a 125 GeV Higgs boson
• Light Stops from extra dimensions
• Sensitivity of High-Scale SUSY in Low Energy Hadronic FCNC
• GMSB with Light Stops
• Gauge mediation with light stops