Nnaturalness

Abstract

We present a new solution to the electroweak hierarchy problem. We introduce $N$ copies of the Standard Model with varying values of the Higgs mass parameter. This generically yields a sector whose weak scale is parametrically removed from the cutoff by a factor of $1/\sqrt{N}$. Ensuring that reheating deposits a majority of the total energy density into this lightest sector requires a modification of the standard cosmological history, providing a powerful probe of the mechanism. Current and near-future experiments will explore much of the natural parameter space. Furthermore, supersymmetric completions which preserve grand unification predict superpartners with mass below $m_W\times M_{\text{pl}}/M_{\text{GUT}}\sim 10$ TeV.

Comments: v2: journal version published in PRL as Solving the Hierarchy Problem at Reheating with a Large Number of Degrees of Freedom (14 pages, 5 figures)