On q-Electroweak

TL;DR

This paper explores a q-deformed version of the electroweak theory, highlighting potential differences from the standard model in higher representations and the possibility of detecting non-local structures.

Contribution

It introduces a q-deformed electroweak model based on SU_q(2), analyzing its experimental indistinguishability at the doublet level and potential observable differences in higher representations.

Findings

Standard model and q-electroweak are indistinguishable at the doublet level.

Differences may appear in higher-dimensional representations.

q-theory offers a way to probe non-local structures.

Abstract

The q-electroweak theory obtained by replacing SU(2) by $SU_q(2)$ in the Weinberg-Salam model is experimentally not distinguishable from the standard model at the level of the doublet representation. However, differences between the two theories should be observable when higher dimensional representations are taken into account. In addition the possibility of probing non-local structure may be offered by the q-theory.