Abstract
We propose a minimally extended gauge symmetry model with $U(1{)}_{R}$, where only the right-handed fermions have nonzero charges in the fermion sector. To achieve both anomaly cancellations and minimality, three right-handed neutrinos are naturally required, and the standard model Higgs has to have nonzero charge under this symmetry. Then we find that its breaking scale($\mathrm{\ensuremath{\Lambda}}$) is restricted by precise measurement of neutral gauge boson in the standard model; therefore, $\mathcal{O}(10)\text{ }\mathrm{TeV}\ensuremath{\lesssim}\mathrm{\ensuremath{\Lambda}}$. We also discuss its testability of the new gauge boson and discrimination of $U(1{)}_{R}$ model from $U(1{)}_{B\ensuremath{-}L}$ one at collider physics such as LHC and ILC.
Highlights
A Uð1ÞB−L gauge symmetry [1] is one of the natural extensions of the standard model (SM) to accommodate the three right-handed neutrinos to cancel the gauge anomalies out, and these neutral fermions play roles in arising various sources such as baryon CP asymmetry of the Universe, a dark matter candidate, as well as light active neutrinos and their mixings with Majorana type, depending on model buildings
We have proposed a minimally extended Uð1Þ gauge symmetry, where only right-handed fermions have nonzero charges in the fermion sector
We have found that its breaking scale(Λ ∼ v0) is restricted by precise measurement of the standard model neutral gauge boson; 18 TeV ≲ v0
Summary
A Uð1ÞB−L gauge symmetry [1] is one of the natural extensions of the standard model (SM) to accommodate the three right-handed neutrinos to cancel the gauge anomalies out, and these neutral fermions play roles in arising various sources such as baryon CP asymmetry of the Universe, a dark matter candidate, as well as light active neutrinos and their mixings with Majorana type, depending on model buildings. In addition the chiral structure provides richer phenomenology such as forward backward asymmetry at collider experiments These kinds of models are not applied to a lot of phenomenologies compared to the B − L one, due to different charges between right-handed and left-handed fermions. We realize a minimal extension of the SM with Uð1ÞR gauge symmetry, by imposing nonzero Uð1ÞR charge on the SM Higgs In this case, several constraints has to be considered such as oblique parameters [10] and precise measurement of the neutral vector boson of SM (Z) [11]. The most stringent constraint arises from the measurement of the SM Z boson mass (mZ), where the lower bound of vacuum expectation value(VEV) to break the Uð1ÞR symmetry is Oð10Þ TeV [12].1 It could still be testable scale at current/future collider experiments. We devote the last section to the summary of our results and the conclusion
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