Cosmic Attractors and Gauge Hierarchy

TL;DR

The paper proposes a cosmological model where scalar masses naturally become small through a mechanism involving brane nucleation during inflation, leading to a distribution sharply peaked at a hierarchically small mass value.

Contribution

It introduces a novel cosmological scenario that explains the smallness of scalar masses without supersymmetry or new physics at low energies.

Findings

Scalar masses undergo discrete jumps during inflation.

The distribution of scalar masses peaks sharply at a small value.

The model naturally explains the hierarchy problem.

Abstract

We suggest a new cosmological scenario which naturally guarantees the smallness of scalar masses and VEVs, without invoking supersymmetry or any other (non-gravitationaly coupled) new physics at low energies. In our framework, the scalar masses undergo discrete jumps due to nucleation of closed branes during (eternal) inflation. The crucial point is that the step size of variation decreases in the direction of decreasing scalar mass. This scenario yields exponentially large domains with a distribution of scalar masses, which is sharply peaked around a hierarchically small value of the mass. This value is the "attractor point" of the cosmological evolution.