content_image/372772.jpg content_image/372773.jpg content_image/372774.jpg content_image/372775.jpg content_image/372776.jpg content_image/372777.jpg
In the ALRM, since v 6 = 0, M$_{W}$$_{R}$ takes the value of the upper limit of this range. The prediction of W ± R in addition to Z ′ distinguishes these two models from the multitude of other proposals with an extra U (1) ′ gauge symmetry. 

## V. Z’ DECAY 

Consider the possible discovery of Z ′ at the LHC. For M$_{Z}$ ′ = 1 TeV, only an integrated luminosity of 0.2 fb − 1 is required [1]. Its discovery channel is presumably µ $^{+}$µ $^{−}$, but it will also have 4 charged muons in the final state from Δ ++ R Δ −− R , and perhaps even 8 charged muons, as shown below. 

In addition to all SM particles, Z ′ also decays into n ¯ , Δ ++ R Δ −− R , ξ + $_{R}$ξ − $_{R}$, A 0 $_{R}$H 0 R $_{1}$, H + $_{L}$H − $_{L}$, and A 0 $_{L}$H 0 $_{L}$. In particular, the subsequent decay Δ ±± R → µ $^{±}$µ± will be a unique signature where the like-sign dimuons have identical invariant masses $^{1}$. 

The interactions of Z ′ with fermions come from 

<img src='content_image/372772.jpg'>

where g ′ = e/ √ x (1 − x )(1 − 2 x ). Ignoring fermion masses, each fermionic partial width is given by 

<img src='content_image/372773.jpg'>

where c$_{L,R}$ are the coefficients from J$_{Z}$ ′ = xJ 3 L + (1 − x ) J 3 R − xJ$_{em}$ , and a color factor of 3 should be added for each quark. In the DLRM, we have 

Here we need to consider 3 families for u, d, ν, e but only one for n . 

The decay of Z ′ → A 0 $_{R}$H 0 R 1 to scalars come from 

with the partial decay width 

<img src='content_image/372774.jpg'>

<img src='content_image/372775.jpg'>

<img src='content_image/372776.jpg'>

<img src='content_image/372777.jpg'>

