Electroweak $η_{\rm w}$ meson
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913888725893120 |
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| author | Dvali, Gia Kobakhidze, Archil Sakhelashvili, Otari |
| author_facet | Dvali, Gia Kobakhidze, Archil Sakhelashvili, Otari |
| contents | We argue that the Standard Model is accompanied by a new pseudo-scalar degree of freedom, $η_{\rm w}$-meson, which cancels the topological susceptibility of the electroweak vacuum and gets its mass from this effect. The prediction is based on the analyticity properties of the Chern-Simons correlator combined with the basic features of gravity. Depending on the quality level of the $U(1)_{B+L}$-symmetry, $η_{\rm w}$ emerges as a $B+L$ pseudo-Goldstone boson or as a Stückelberg $2$-form of the electroweak gauge redundancy. An intriguing scenario of the first category is the emergence of $η_{\rm w}$ in the form of the phase of a $U(1)_{B+L}$-violating fermion condensate triggered by the instantons, somewhat similar to $η'$-meson in QCD. Regardless of its origin, the presence of $η_{\rm w}$-meson in the theory appears to be a matter of consistency. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07535 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Electroweak $η_{\rm w}$ meson Dvali, Gia Kobakhidze, Archil Sakhelashvili, Otari High Energy Physics - Theory High Energy Physics - Phenomenology We argue that the Standard Model is accompanied by a new pseudo-scalar degree of freedom, $η_{\rm w}$-meson, which cancels the topological susceptibility of the electroweak vacuum and gets its mass from this effect. The prediction is based on the analyticity properties of the Chern-Simons correlator combined with the basic features of gravity. Depending on the quality level of the $U(1)_{B+L}$-symmetry, $η_{\rm w}$ emerges as a $B+L$ pseudo-Goldstone boson or as a Stückelberg $2$-form of the electroweak gauge redundancy. An intriguing scenario of the first category is the emergence of $η_{\rm w}$ in the form of the phase of a $U(1)_{B+L}$-violating fermion condensate triggered by the instantons, somewhat similar to $η'$-meson in QCD. Regardless of its origin, the presence of $η_{\rm w}$-meson in the theory appears to be a matter of consistency. |
| title | Electroweak $η_{\rm w}$ meson |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2408.07535 |