An additional symmetry in the Weinberg - Salam model
B.L.G.Bakker, A.I.Veselov, M.A.Zubkov
TL;DR
This paper reports on the numerical simulation of an additional hidden $Z_6$ symmetry in the Standard Model's electroweak sector, revealed through lattice regularization and connected to the centers of SU(3) and SU(2).
Contribution
It introduces a lattice regularization of the Standard Model that preserves a previously hidden $Z_6$ symmetry in the electroweak sector.
Findings
Confirmed the presence of the $Z_6$ symmetry in lattice simulations.
Analyzed the singular nature of the symmetry and its connection to gauge group centers.
Provided numerical evidence supporting the symmetry's role in the Standard Model.
Abstract
An additional symmetry hidden in the fermion and Higgs sectors of the Standard Model has been found recently. It has a singular nature and is connected to the centers of the SU(3) and SU(2) subgroups of the gauge group. A lattice regularization of the Standard Model was constructed that possesses this symmetry. In this paper we report our results on the numerical simulation of its Electroweak sector.
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