The Higgs mass and natural supersymmetric spectrum from the landscape

Understand

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.