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Nonperturbative effects in the Standard Model with gauged 1-form symmetry

Anber, Mohamed M.; Poppitz, Erich

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Authors

Erich Poppitz



Abstract

We study the Standard Model with gauged Z(1)N=2,3,6 subgroups of its Z(1)6 1-form global symmetry, making the gauge group SU(3)×SU(2)×U(1)ZN. We show that, on a finite T3, there are self-dual instantons of fractional topological charge. They mediate baryon- and lepton-number violating processes. We compare their amplitudes to the ones due to the usual BPST-instantons. We find that the small hypercharge coupling suppresses the fractional-instanton contribution, unless the torus size is taken sub-Planckian, or extra matter is added above the weak scale. We also discuss these results in light of the cosmological bounds on the torus size.

Citation

Anber, M. M., & Poppitz, E. (2021). Nonperturbative effects in the Standard Model with gauged 1-form symmetry. Journal of High Energy Physics, 2021(12), Article 55. https://doi.org/10.1007/jhep12%282021%29055

Journal Article Type Article
Acceptance Date Nov 27, 2021
Online Publication Date Dec 9, 2021
Publication Date 2021-12
Deposit Date Jan 26, 2022
Publicly Available Date Mar 28, 2024
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2021
Issue 12
Article Number 55
DOI https://doi.org/10.1007/jhep12%282021%29055

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.





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