Infrared fixed point of the top Yukawa coupling in split supersymmetry

Abstract

The severe constraints imposed on the parameter space of the minimal split supersymmetry model by the infrared fixed point solution of the top Yukawa coupling $Y_t$ are studied in detail in terms of the value of the top quark mass measured at the Tevatron together with the lower bound on the lightest Higgs mass established by LEP. The sensitive dependence of the higgsino mass parameter $\mu$ and of the gaugino coupling strengths ${\tilde{g}}_{u,d}$, ${\tilde{g}}_{u,d}^{\prime }$ on the value of $Y_t$ in the vicinity of the Landau pole is a remarkable consequence. A few other interesting features emerge, though the model is found to be disfavored within the infrared fixed point scenario because of the need to have several fine tunings at work on account of the requirement of a low upper bound on $\tan \beta$.

arXiv commentRevtex4, 16 pages including EPS figures. A few references added and the relationship between the upper bound on tan_βand fine tuning amplified. Typos in the RGEs given in the appendix corrected. Version to be published in Phys. Rev. D

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Cited by in corpus (6)

• On the Tuning Condition of Split Supersymmetry
• Tachyonic Squarks in Split Supersymmetry
• Hunting long-lived gluinos at the Pierre Auger Observatory
• Distinguishing split supersymmetry in Higgs signals at the Large Hadron Collider
• D-brane Standard Model variants and Split Supersymmetry: Unification and fermion mass predictions
• Split supersymmetry and the role of a light fermion in a supergravity-based scenario