3 v 2 = 〈 φ 0 2 〉 , m$_{d}$ comes from v 3 = 〈 φ 0 L 〉 , m$_{h}$ comes from v 4 = 〈 φ 0 R 〉 , m$_{ν}$ comes from v 5 = 〈 Δ 0 L 〉 , and m$_{n}$ comes from v 6 = 〈 Δ 0 R 〉 . This structure shows clearly that flavor-changing neutral currents are guaranteed to be absent at tree level [7]. The generalized lepton number L = S − T 3 R remains 1 for ν and e , and 0 for u and d , but the new particle n has L = 0 and h has L = 1, whereas W ± R has L = ∓ 1 and Z ′ has L = 0, etc. As neutrinos acquire Majorana masses, L is broken to ( − ) $^{L}$. The generalized R parity is then defined in the usual way, i.e. ( − ) 3 B + L +2 $^{j}$. The known quarks and leptons have even R , but n , h , W ± $_{R}$, φ ± $_{R}$, Δ ± $_{R}$, φ ± 1 , Re( φ 0 $_{1}$), and Im( φ 0 $_{1}$) have odd R . Hence the lightest n can be a viable dark-matter candidate if it is also the lightest among all the particles having odd R . Note that R parity has now been implemented in a nonsupersymmetric model. There exists an experimental bound [1] on M$_{Z}$ ′ of 850 GeV from Tevatron data [8]. As for the recent CDMS-II results [9], they impose no additional constraint because n is Majo- rana and does not contribute to the s-wave elastic spin-independent scattering cross section through Z ′ exchange in the nonrelativistic limit. Assuming thus that M$_{Z}$ ′ > 850 GeV only, we study the SU (2)$_{R}$ Higgs structure of this model and identify those new particles which may be relatively light and be observable at the Large Hadron Collider (LHC). Consider then the most general Higgs potential consisting of Φ$_{R}$ and Δ$_{R}$: III. SU (2)$_{R}$ HIGGS STRUCTURE TABLE I: Scalar content of proposed model. Scalar SU (3)$_{C}$ × SU (2)$_{L}$ × SU (2)$_{R}$ × U (1) S Φ (1 , 2 , 2 , 0) 1 / 2 ˜ Φ = σ 2 Φ $^{∗}$σ 2 (1 , 2 , 2 , 0) − 1 / 2 Φ$_{L}$ (1 , 2 , 1 , 1 / 2) 0 Φ$_{R}$ (1 , 1 , 2 , 1 / 2) − 1 / 2 Δ$_{L}$ (1 , 3 , 1 , 1) − 2 Δ$_{R}$ (1 , 1 , 3 , 1) 1