Anber, Mohamed M. and Poppitz, Erich (2021) 'Nonperturbative effects in the Standard Model with gauged 1-form symmetry.', Journal of High Energy Physics, 2021 (12). p. 55.
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.
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|Publisher Web site:||https://doi.org/10.1007/JHEP12(2021)055|
|Publisher 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.|
|Date accepted:||27 November 2021|
|Date deposited:||27 January 2022|
|Date of first online publication:||09 December 2021|
|Date first made open access:||27 January 2022|
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