Perturbative $\lambda$-Supersymmetry and Small $\kappa$-Phenomenology

Abstract

For the minimal $\lambda$-supersymmetry, it stays perturbative to the GUT scale for $\lambda \le 0.7$. This upper bound is relaxed when one either takes the criteria that all couplings close to $\sim 4\pi$ for non-perturbation or allows new fields at the intermediate scale between the weak and GUT scale. We show that a hidden $U(1{)}_X$ gauge sector with spontaneously broken scale $\sim 10$ TeV improves this bound as $\lambda \le 1.23$ instead. This may induce significant effects on Higgs physics such as decreasing fine tuning involving the Higgs scalar mass, as well as on the small $\kappa$-phenomenology.

Comments: Revtex, 7 pages; v4: new U(1) model proposed, journal version