Electroweak hierarchy from conformal and custodial symmetry

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Hauptverfasser: de Boer, Thede, Lindner, Manfred, Trautner, Andreas
Format: Preprint
Veröffentlicht: 2024
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author de Boer, Thede
Lindner, Manfred
Trautner, Andreas
author_facet de Boer, Thede
Lindner, Manfred
Trautner, Andreas
contents We present "Custodial Naturalness" as a new mechanism to explain the separation between the electroweak (EW) scale and the scale of potential ultraviolet completions of the Standard Model (SM). We assume classical scale invariance as well as an extension of the SM scalar sector custodial symmetry to $\mathrm{SO}(6)$. This requires a single new complex scalar field charged under a new $\mathrm{U}(1)_\mathrm{X}$ gauge symmetry which partially overlaps with $B-L$. Classical scale invariance and the high-scale scalar sector $\mathrm{SO}(6)$ 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 an elementary (i.e. non-composite) pseudo-Nambu-Goldstone boson (pNGB) of the spontaneously broken $\mathrm{SO}(6)$ custodial symmetry. The minimal setting has the same number of parameters as the SM and predicts new physics in the form of a heavy $Z'$ with fixed couplings to the SM and a mass of $m_{Z'}\approx4-100\,\mathrm{TeV}$, as well as a light but close-to invisible dilaton with a mass $m_{h_Φ}\approx75\,\mathrm{GeV}$.
format Preprint
id arxiv_https___arxiv_org_abs_2407_15920
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Electroweak hierarchy from conformal and custodial symmetry
de Boer, Thede
Lindner, Manfred
Trautner, Andreas
High Energy Physics - Phenomenology
High Energy Physics - Experiment
We present "Custodial Naturalness" as a new mechanism to explain the separation between the electroweak (EW) scale and the scale of potential ultraviolet completions of the Standard Model (SM). We assume classical scale invariance as well as an extension of the SM scalar sector custodial symmetry to $\mathrm{SO}(6)$. This requires a single new complex scalar field charged under a new $\mathrm{U}(1)_\mathrm{X}$ gauge symmetry which partially overlaps with $B-L$. Classical scale invariance and the high-scale scalar sector $\mathrm{SO}(6)$ 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 an elementary (i.e. non-composite) pseudo-Nambu-Goldstone boson (pNGB) of the spontaneously broken $\mathrm{SO}(6)$ custodial symmetry. The minimal setting has the same number of parameters as the SM and predicts new physics in the form of a heavy $Z'$ with fixed couplings to the SM and a mass of $m_{Z'}\approx4-100\,\mathrm{TeV}$, as well as a light but close-to invisible dilaton with a mass $m_{h_Φ}\approx75\,\mathrm{GeV}$.
title Electroweak hierarchy from conformal and custodial symmetry
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
url https://arxiv.org/abs/2407.15920