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

Abstract

We propose a model with the left-handed and right-handed continuous Abelian gauge symmetry; U(1) L ×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.

Neutrino and dark matter in a gauged U(1)_R symmetry

“…The simplest way to construct the neutrino mass matrix is to introduce heavier right-handed neutrinos in a renormalizable theory. If one needs a principle to introduce them, a gauged Baryon minus Lepton number symmetry U(1) B−L [1,2] or a right-handed symmetry U(1) R [3][4][5][6][7][8][9][10][11][12][13][14] are promising candidates. They are promising because both these symmetries demand three families of right-handed neutrinos, so as to cancel chiral anomalies.…”

A flipped U(1) R extension of the Standard Model

“…represent FB asymmetry for the cases coming from only the SM boson contribution and from the SM plus Z boson contributions. This quantity should be compared with the statistical error of FB asymmetry associated with only the SM boson contribution given by [75,76]…”