The Electroweak Model based on the Nonlinearly realized Gauge Group. Theoretical Foundations and Phenomenological Prospects

TL;DR

This paper develops a divergence subtraction method for a Higgsless Electroweak Model with nonlinear gauge symmetry, maintaining key symmetries and allowing for Majorana neutrino masses, differing from the Standard Model.

Contribution

It introduces a consistent quantization framework for a Higgsless Electroweak Model based on nonlinear gauge realization, preserving symmetries and accommodating neutrino masses.

Findings

No Higgs field in the perturbative spectrum.

Two independent mass invariants in the vector sector.

Majorana neutrino masses compatible with the model.

Abstract

A consistent strategy for the subtraction of the divergences in the nonlinearly realized Electroweak Model in the loop expansion is presented. No Higgs field enters into the perturbative spectrum. The local functional equation (LFE), encoding the invariance of the SU(2) Haar measure under local left SU(2) transformations, the Slavnov-Taylor identity, required in order to fulfill physical unitarity, and the Landau gauge equation hold in the nonlinearly realized theory. The quantization is performed in the Landau gauge for the sake of simplicity and elegance. The constraints on the admissible interactions arising from the Weak Power-Counting (WPC) are discussed. The same symmetric pattern of the couplings as in the Standard Model is shown to arise, as a consequence of the defining functional identities and the WPC. However, two independent mass invariants in the vector meson sector are possible, i.e. no tree-level Weinberg relation holds between the Z and W mass. Majorana neutrino masses can be implemented in the nonlinearly realized Electroweak Model in a way compatible with the WPC and all the symmetries of the theory.