Supergroup Symmetries and the Hierarchy Problem
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913492696563712 |
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| author | Craig, Nathaniel Gendy, Emanuele Howard, Jessica N. |
| author_facet | Craig, Nathaniel Gendy, Emanuele Howard, Jessica N. |
| contents | We show that the mass of a scalar field transforming in the fundamental of an $SU(N|N+1)$ supergroup internal symmetry is protected against one-loop corrections from quartic, gauge, and yukawa interactions. Although the negative-norm states responsible for this protection are likely fatal to a unitary interpretation of the theory, such ultraviolet insensitivity may open a new avenue to understanding the lightness of the Higgs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_03824 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Supergroup Symmetries and the Hierarchy Problem Craig, Nathaniel Gendy, Emanuele Howard, Jessica N. High Energy Physics - Phenomenology High Energy Physics - Theory We show that the mass of a scalar field transforming in the fundamental of an $SU(N|N+1)$ supergroup internal symmetry is protected against one-loop corrections from quartic, gauge, and yukawa interactions. Although the negative-norm states responsible for this protection are likely fatal to a unitary interpretation of the theory, such ultraviolet insensitivity may open a new avenue to understanding the lightness of the Higgs. |
| title | Supergroup Symmetries and the Hierarchy Problem |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2409.03824 |