Electroweak hierarchy from conformal and custodial symmetry -- "Custodial Naturalness"

Fuente: arXiv
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Autor principal: Trautner, Andreas
Formato: Preprint
Publicado: 2025
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author Trautner, Andreas
author_facet Trautner, Andreas
contents I introduce the idea of "Custodial Naturalness" to explain the origin of the electroweak (EW) scale hierarchy. Custodial Naturalness is based on classical scale invariance as well as an extension of the Standard Model (SM) scalar sector custodial symmetry. In a minimal realization, 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 SO(6) 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 (pNGB) 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.
format Preprint
id arxiv_https___arxiv_org_abs_2505_08776
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Electroweak hierarchy from conformal and custodial symmetry -- "Custodial Naturalness"
Trautner, Andreas
High Energy Physics - Phenomenology
I introduce the idea of "Custodial Naturalness" to explain the origin of the electroweak (EW) scale hierarchy. Custodial Naturalness is based on classical scale invariance as well as an extension of the Standard Model (SM) scalar sector custodial symmetry. In a minimal realization, 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 SO(6) 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 (pNGB) 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.
title Electroweak hierarchy from conformal and custodial symmetry -- "Custodial Naturalness"
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2505.08776