Hidden Sector Custodial Naturalness

Abstract

Custodial Naturalness is a recently introduced idea that combines conformal and scalar-sector custodial symmetry to address the electroweak (EW) scale hierarchy problem of the Standard Model (SM). We introduce a new model that realizes Custodial Naturalness without extension of the SM gauge group. The number of new dynamical degrees of freedom is minimized and the custodial symmetry is reduced to $\mathrm{SO}(5)$. This requires a new scalar singlet field that automatically is a good Dark Matter (DM) candidate, produced via freeze-in with moderate couplings. The most minimal scenario allows the quantum critical generation of the EW scale in a phenomenologically viable way requiring a UV completion at around $10^{11}\,\mathrm{GeV}$. Including ingredients for neutrino mass generation can push this scale to $M_{\mathrm{Pl}}$.