English

A different approach to electroweak interactions without using any $SU(2)_L$ doublet

High Energy Physics - Phenomenology 2017-12-27 v2 High Energy Physics - Theory

Abstract

We know that demanding SU(2)L×U(1)YSU(2)_L\times U(1)_Y gauge symmetry of Lagrangian is a "sufficient" condition to describe electroweak interactions, however, in this paper, we have tried to find whether it's a "necessary" condition or not. We have used a different approach to describe electroweak interactions without using any SU(2)LSU(2)_L doublet or SU(2)LSU(2)_L generator and incorporate some new physics aspects into theory. In this method, we only need local gauge invariance of Lagrangian under a "generalised U(1)QU(1)_Q gauge transformation", where QQ is electric charge (not to be confused with usual U(1)U(1) transformation). Under this gauge transformation, all charged fields including charged gauge bosons transform as H(μ)H(μ)eiqhθH_{(\mu)}\rightarrow H_{(\mu)}e^{iq_h\theta} and all neutral gauge bosons transforms as VμVμ+ΛμθV_\mu\rightarrow V_\mu+\Lambda \partial_\mu \theta. Nevertheless, SU(2)LSU(2)_L symmetry can be restored by imposing constraints on some parameters and thus standard model can be considered as a special case of this model. Hence, it turns out that SU(2)L×U(1)YSU(2)_L\times U(1)_Y gauge symmetry is a "sufficient" but "not necessary" condition for electroweak interactions.

Keywords

Cite

@article{arxiv.1701.00779,
  title  = {A different approach to electroweak interactions without using any $SU(2)_L$ doublet},
  author = {Anirban Karan},
  journal= {arXiv preprint arXiv:1701.00779},
  year   = {2017}
}
R2 v1 2026-06-22T17:40:15.875Z