Charged and Neutral Currents in a 3-3-1 Model with Right-Handed Neutrinos

TL;DR

This paper derives charged and neutral currents in a 3-3-1 gauge model with right-handed neutrinos using an algebraical approach, recovering Standard Model phenomenology and revealing new particle interactions without small mixing angle assumptions.

Contribution

It provides exact expressions for currents in a 3-3-1 model with right-handed neutrinos, avoiding approximations related to small mixing angles.

Findings

Exact expressions for neutral and charged currents obtained.

Standard Model phenomenology recovered without additional conditions.

New particle interaction phenomenology identified.

Abstract

The charged and the neutral currents are obtained by using a formal algebraical approach (developed and applied by the author) within the exact solution of a 3-3-1 gauge model with right-handed neutrinos. The entire Standard Model phenomenology is recovered without imposing any supplemental condition, but only by choosing an adecquate set of parameters from the very beginning of the calculus. A new and rich phenomenology regarding the particles and their currents occurs as well. The appealing feature of our results resides in the exact expressions of the currents which need not the adjustment usually due to the small mixing angle $\phi$ between neutral bosons $Z$ and $Z^{\prime}$ (like in the most of the papers in the literature treating the same issue). The required mixing was considered and aleready performed as an intermediate step by the solving method itself, since the physical eigenstates of those bosons were determined and then identified in the neutral currents.