IFIC Seminar: Explaining the electroweak scale hierarchy with conformal and custodial symmetry

by Andreas Trautner (CFTP, Universidade de Lisboa)

Tuesday 6 May 2025, 12:00 → 13:00 Europe/Madrid

Primera-1-1-1 - Paterna. Seminario (IFIC)

I will introduce the idea of "Custodial Naturalness" to explain the origin of the electroweak scale hierarchy. Custodial Naturalness is based on classical scale invariance as well as an extension of the Standard Model (SM) scalar sector custodial symmetry to SO(6). This requires a single new complex scalar field charged under a new U(1) gauge symmetry which partially overlaps with B-L. Classical scale invariance and the high-scale scalar sector custodial symmetry are radiatively broken by quantum effects that generate a new intermediate scale by dimensional transmutation. The little hierarchy problem is solved because the Higgs boson arises as pseudo-Nambu-Goldstone boson of the spontaneously broken SO(6) custodial symmetry. The minimal realization of Custodial Naturalness has the same number of parameters as the SM and predicts testable new physics in the form of a heavy Z' as well as a light but close-to invisible dilaton. Simple extensions furthermore allow to explain neutrino masses and Dark Matter - in a region of parameter space that can be completely excluded by future colliders.