Seesaw relation between the cosmological constant and the Higgs mass

We propose the relation $M_{Higgs}^{\ast }=(M_{\mathrm{\Lambda }}{M}_I{)}^{\frac{1}{2}}$ where $M_{Higgs}^{\ast },M_{\mathrm{\Lambda }}$ 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