The supersymmetric sector of minimal supersymmetric standard model (MSSM) possesses a U(1) R-symmetry which contains Z2 matter parity. Non-zero neutrino masses, consistent with a ‘redefined’ R-symmetry, are possible through the see-saw mechanism and/or a pair of superheavy (mass M) SU(2)L triplets with vev ∼ M 2 W /M . If this R-symmetry is respected by the higher order terms, then baryon numbe...

The supersymmetric sector of minimal supersymmetric standard model (MSSM) possesses a U(1) R-symmetry which contains Z2 matter parity. Non-zero neutrino masses, consistent with a ‘redefined’ R-symmetry, are possible through the see-saw mechanism and/or a pair of superheavy (mass M) SU(2)L triplets with vev ∼ M 2 W /M . If this R-symmetry is respected by the higher order terms, then baryon numbe...

We compute Neuberger’s overlap operator by the Lanczos algorithm applied to the Wilson-Dirac operator. Locality of the operator for quenched QCD data and its eigenvalue spectrum in an instanton background are studied. 1. Although brute force calculations of the quenched lattice QCD with Wilson fermions have been able to approach the chiral limit [1], there are increased efforts to make the chir...

The octa-hedral cluster core of the anion in the structure of the title compound, (C(16)H(36)N)(3)[Mo(6)(C(4)H(9)S)(6)(μ(3)-Cl)(7)(μ(3)-S)]·2H(2)O, has -3 site symmetry. Two μ(3)-Cl atoms fully occupy positions in the cluster core, while the remaining six positions are statistically occupied by Cl and S atoms in a 1:5 ratio. The fully occupied Cl-atom positions are located on sites with 3 symme...

Outer-shell s/p orbital mixing with d orbitals and symmetry reduction upon cupriphication of cyclic trinuclear trigonal-planar gold(I) complexes are found to sensitize ground-state Cu(I)–Au(I) covalent bonds and near-unity phosphorescence quantum yields. Heterobimetallic Au4Cu2 {[Au4(μ-C,N-EtIm)4Cu2(μ-3,5-(CF3)2Pz)2], (4a)}, Au2Cu {[Au2(μ-C,N-BzIm)2Cu(μ-3,5-(CF3)2Pz)], (1) and [Au2(μ-C, N-MeIm)...

and Applied Analysis 3 the unstable manifold in U0 by using the method introduced in Zhu 9 . According to the invariance and symmetry of these manifolds, we can deduce that system 2.1 has the following form inU0: ẋ x ( λ ( , μ ) O 1 ) , ẏ y −λ , μ O 1 , u̇ v ( ω ( , μ ) O 1 ) u ( O x O ( y ) O u ) O ( xy ) , v̇ u −ω , μ O 1 ) − vO x Oy O v ) −Oxy, 3.1 where λ 0, μ λ, ω 0, μ ω,O 1 O x O y O u O v ...

The decays μ → eγ, μ → eγγ, and μ → eeē are analysed in the framework of the Pati-Salam type quark-lepton symmetry SU(4)V ⊗ SU(2)L⊗GR where the effects of mixing in the quark-lepton currents are taken into account. It is shown that the μ → eγγ and μ → eeē decays via the vector leptoquark have not a GIM–type suppression, while the μ → eγ decay has. So, the specific hierarchy of the decay probabi...

Possible maximal mixing seen in the oscillations of the atmospheric neutrinos has led to postulate of a μ-τ symmetry which interchanges νμ and ντ . We argue that such symmetry need not be special to neutrinos but can be extended to all fermions. The assumption that all fermion mass matrices are approximately invariant under interchange of the second and the third generation fields is shown to b...

In models with low-energy supersymmetry breaking, an anomalous Abelian horizontal gauge symmetry can simultaneously explain the fermion mass hierarchy and the values of the μ and B terms. We construct an explicit model where the anomaly is cancelled by the Green-Schwarz mechanism at the string scale. We show that with our charge assignments, the breaking of the horizontal symmetry generates the...

We discuss nonanomalous R-symmetry in the supersymmetric grand unified theories. In particular, we explore anomaly-free solutions predicting the gravitino mass in the range of 10 eV∼m3/2 ∼ 1 TeV when the μ-parameter is fixed to be μ ≃ 1 TeV. In the minimal SU(5) GUT, we have shown that μ ≃ 1 TeV is obtained only if the gravitino is ultralight with mass m3/2 ∼ 10 eV. If extra fields 5⊕ 5 or 10⊕ ...