The Higgs mass and natural supersymmetric spectrum from the landscape

TL;DR

This paper explores how landscape and anthropic principles in string theory naturally lead to a supersymmetric spectrum consistent with the observed Higgs mass and electroweak scale, predicting near-critical soft terms and accessible higgsinos.

Contribution

It demonstrates that landscape and anthropic constraints can naturally produce a natural supersymmetric spectrum with a 125 GeV Higgs, addressing the little hierarchy problem.

Findings

Soft SUSY breaking terms are driven near criticality by landscape/anthropic effects.

The Higgs mass is predicted to be around 125 GeV.

Light higgsinos should be detectable at future linear colliders.

Abstract

In supersymmetric models where the superpotential mu term is generated with mu<< m_{soft} (e.g. from radiative Peccei-Quinn symmetry breaking or compactified string models with sequestration and stabilized moduli), and where the string landscape 1. favors soft supersymmetry (SUSY) breaking terms as large as possible and 2. where the anthropic condition that electroweak symmetry is properly broken with a weak scale m_{W,Z,h}~100 GeV ({\it i.e.} not too weak of weak interactions), then these combined landscape/anthropic requirements act as an attractor pulling the soft SUSY breaking terms towards values required by models with radiatively-driven naturalness: near the line of criticality where electroweak symmetry is barely broken and the Higgs mass is ~125 GeV. The pull on the soft terms serves to ameliorate the SUSY flavor and CP problems. The resulting sparticle mass spectrum may barely be accessible at high-luminosity LHC while the required light higgsinos should be visible at a linear e^+e^- collider with \sqrt{s}>2m(higgsino).