Left-handed and right-handed U(1) gauge symmetry

TL;DR

This paper introduces a novel gauge symmetry model combining left-handed and right-handed U(1) groups, requiring new fermions for anomaly cancellation, and explores its testability at collider experiments like LHC and ILC.

Contribution

The paper formulates a new U(1)_L × U(1)_R gauge symmetry model with anomaly cancellation mechanisms and discusses its experimental signatures at colliders.

Findings

Model predicts new gauge interactions testable at colliders

Chiral structure can be analyzed via forward-backward asymmetry

Potential for discovering new fermions and gauge bosons

Abstract

We propose a model with the left-handed and right-handed continuous Abelian gauge symmetry; $U(1)_L\times U(1)_R$. Then three right-handed neutrinos are naturally required to achieve $U(1)_R$ anomaly cancellations, while several mirror fermions are also needed to do $U(1)_L$ anomaly cancellations. Then we formulate the model, and discuss its testability of the new gauge interactions at collider physics such as the large hadron collider (LHC) and the international linear collider (ILC). In particular, we can investigate chiral structure of the interactions by the analysis of forward-backward asymmetry based on polarized beam at the ILC.