A new anomaly free flipped 341 model

TL;DR

This paper introduces a novel flipped 341 gauge model that avoids exotic charges, addresses anomaly cancellation with new leptons, and derives experimental bounds on new particles from rare muon decay data.

Contribution

It proposes a new anomaly-free flipped 341 model with specific fermion arrangements and anomaly cancellation requiring additional leptons, and analyzes experimental constraints on new particles.

Findings

Model is free of exotic electric charges.

Anomaly cancellation requires new leptons in 10-plet and quadruplet.

Experimental data constrains heavy boson masses and mixing parameters.

Abstract

A new flipped $SU(3)_C\otimes SU(4)_L\otimes U(1)_X$ model without exotic electric charges is proposed. All the quarks families are arranged in the same representation while leptons generations are in different representations leading to a tree level FCNC. Moreover, It is shown that the cancellation of the triangle chiral anomalies requires new additional leptons 10-plet and quadruplet. All fermions masses have been also discussed. Furthermore, using the most recent experimental data of the branching ratios of $\mu \to ee\bar{e}$ and $\mu \to e\gamma$ rare decay modes, stringent bounds on the heavy neutral bosons masses and the muon-electron mixing matrix element are obtained.