Seesaw relation between the cosmological constant and the Higgs mass

Abstract

We propose the relation $M^*_{Higgs} = ({M_{\Lambda} \ M_{I}})^{\frac{1}{2}}$ where $ M^*_{Higgs}, M_{\Lambda}$ and $M_{I}$ denote the mass scale associated with the Higgs boson, the cosmological constant and the inflaton respectively. We demonstrate how this seesaw-like (geometric mean) relation perfectly matches observations and the unified scenario of holographic constant roll inflation