Minimal realization of right-handed gauge symmetry

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($\mathrm{\Lambda }$) is restricted by precise measurement of neutral gauge boson in the standard model; therefore, $\mathcal{O}(10)\mathrm{TeV}\lesssim \mathrm{\Lambda }$. We also discuss its testability of the new gauge boson and discrimination of $U(1{)}_R$ model from $U(1{)}_{B-L}$ one at collider physics such as LHC and ILC.

Figure 1

The current LHC limit on $\{m_{Z^{\prime }},g^{\prime }\}$ plane is shown where region above red curve is excluded by the latest data [17]. The gray region is constrained by Eq. (10) from the relation $g^{\prime }/m_{Z^{\prime }}=1/(2v^{\prime })$.

Figure 2

$\mathrm{\Delta }{A}_{FB}$ defined as Eq. (22) as a function of $m_{Z^{\prime }}/g^{\prime }$ where we apply polarized cross section for the $Z^{\prime }$ from $U(1{)}_R$ and $U(1{)}_{B-L}$. Here the horizontal lines indicate ${\delta }_{A_{FB}}=1$ and 2 corresponding to sensitivity confidence level $1\sigma$ and $2\sigma$, and the vertical line corresponds to $v^{\prime }=18\mathrm{TeV}$.