Radiative natural supersymmetry emergent from the string landscape

Understand

In string theory with flux compactifications, anthropic selection for structure formation from a discretuum of vacuum energy values provides at present our only understanding of the tiny yet positive value of the cosmological constant.

• We apply similar reasoning to a toy model of the multiverse restricted to vacua with the MSSM as the low energy effective theory.
• Here, one expects a statistical selection favoring large soft SUSY breaking terms leading to a derived value of the weak scale in each pocket universe (with appropriate electroweak symmetry breaking) which differs from the weak scale as measured in our universe.
• In contrast, the SUSY preserving \mu parameter is selected uniformly on a log scale as is consistent with the distribution of SM fermion masses: this favors smaller values of \mu.