Focus points and naturalness in supersymmetry

Focus Points and Naturalness in Supersymmetry

We analyze focus points in supersymmetric theories, where a parameter’s renormalization group trajectories meet for a family of ultraviolet boundary conditions. We show that in a class of models including minimal supergravity, the up-type Higgs mass has a focus point at the weak scale, where its value is highly insensitive to the universal scalar mass. As a result, scalar masses as large as 2 t...

Naturalness and Focus Points with Non-Universal Gaugino Masses

Relations between the gaugino masses have been shown to alleviate the degree of fine-tuning in the MSSM. In this paper we consider specific models of supersymmetry breaking with gravity mediation and demonstrate that within both GUT and string constructions it is possible to generate these relations in a natural way. We have numerically studied the degree of fine-tuning in these models, includi...

Supersymmetry, Naturalness and the Landscape *

We argue that the study of the statistics of the landscape of string vacua provides the first potentially predictive – and also falsifiable – framework for string theory. The question of whether the theory does or does not predict low energy supersym-metry breaking may well be the most accessible to analysis. We argue that low energy – possibly very low energy – supersymmetry breaking is likely...

The Landscape, Supersymmetry and Naturalness

Improved Higgs Naturalness with Supersymmetry

We present a supersymmetric model of electroweak symmetry-breaking exhibiting improved naturalness, wherein the stop mass can be pushed beyond the reach of the Large Hadron Collider without unnatural fine tuning. This implies that supersymmetry may still solve the hierarchy problem, even if it eludes detection at the LHC. CONSTRAINTS ON THE SCALE OF NEW PHYSICS The standard model (SM) of partic...