$η_{\rm w}$-meson from topological properties of the electroweak vacuum

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Main Authors: Dvali, Gia, Kobakhidze, Archil, Sakhelashvili, Otari
Format: Preprint
Published: 2025
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author Dvali, Gia
Kobakhidze, Archil
Sakhelashvili, Otari
author_facet Dvali, Gia
Kobakhidze, Archil
Sakhelashvili, Otari
contents We further scrutinize the evidence for a recently suggested pseudo-scalar particle, the electroweak $η_{\rm w}$-meson. Its existence is demanded by matching the removal of the weak vacuum angle $θ_{\rm w}$ by the anomalous $B+L$ - symmetry with a massive pole in the topological susceptibility of the vacuum. We specifically focus on the possibility of the emergence of $η_{\rm w}$ as a collective excitation of the phase of the condensate of the 't Hooft fermion determinant, generated by the electroweak instantons, which breaks the $B+L$ - symmetry spontaneously. We argue that the generation of the 't Hooft vertex is in one-to-one correspondence with its non-zero vacuum expectation value which is cutoff insensitive. We outline certain puzzles about the nature of the emergent $η_{\rm w}$ which require further investigations.
format Preprint
id arxiv_https___arxiv_org_abs_2509_16043
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle $η_{\rm w}$-meson from topological properties of the electroweak vacuum
Dvali, Gia
Kobakhidze, Archil
Sakhelashvili, Otari
High Energy Physics - Theory
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Mathematical Physics
We further scrutinize the evidence for a recently suggested pseudo-scalar particle, the electroweak $η_{\rm w}$-meson. Its existence is demanded by matching the removal of the weak vacuum angle $θ_{\rm w}$ by the anomalous $B+L$ - symmetry with a massive pole in the topological susceptibility of the vacuum. We specifically focus on the possibility of the emergence of $η_{\rm w}$ as a collective excitation of the phase of the condensate of the 't Hooft fermion determinant, generated by the electroweak instantons, which breaks the $B+L$ - symmetry spontaneously. We argue that the generation of the 't Hooft vertex is in one-to-one correspondence with its non-zero vacuum expectation value which is cutoff insensitive. We outline certain puzzles about the nature of the emergent $η_{\rm w}$ which require further investigations.
title $η_{\rm w}$-meson from topological properties of the electroweak vacuum
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Mathematical Physics
url https://arxiv.org/abs/2509.16043