It is known that neutrino oscillations may map φe : φμ : φτ = 1 : 2 : 0, the initial flavor ratios of ultrahigh-energy neutrino fluxes produced from a distant astrophysical source, into φe : φ D μ : φ D τ = 1 : 1 : 1 at the detector of a neutrino telescope. We remark that this naive expectation is only valid in the μ-τ symmetry limit, in which two neutrino mixing angles satisfy θ13 = 0 and θ23 ...

The title compound, (CH(6)N(3))(5)[H(2)PtV(9)O(28)], containing the nona-vanadoplatinate(IV) polyanion, was obtained by hydro-thermal reaction. The polyanion has approximate C(2v) symmetry. The two Pt-bound μ(2)-O atoms are protonated in the polyanion. The heteropolyanions form inversion-generated dimers, {[H(2)PtV(9)O(28)](2)}(10-), held together by each of the two μ(2)-O-H⋯μ(2)-O and μ(2)-O-H...

We discuss the connection between models of fermion masses and mixing involving a string-motivated flavor/generation U(1)A gauge symmetry and the μ term. We point out that in a certain class of such models the flavor physics can provide an appealing solution to the μ problem, naturally yielding a μ ∼ O(m W ). A simple relationship between the U(1)A charge qH of the μ-term and the average genera...

To generate the minimal neutrino Majorana mass matrix that has a free solar mixing angle and ∆msol = 0 it suffices to implement an O(2) symmetry, or one of its subgroups SO(2), ZN≥3, or DN≥3. This O(2) generalizes the hidden Z2 of lepton mixing and leads in addition automatically to μ–τ symmetry. Flavor-democratic perturbations, as expected e.g. from the Planck scale, then result in tri-bimaxim...

We study the cosmology of the Supersymmetric Standard Model augmented by a gauge singlet to solve the μ-problem and describe the evolution of the domain walls which are created during electroweak symmetry breaking due to the discrete Z3 symmetry in this model. The usual assumption, that non-renormalizable terms induced by gravity (which explicitly break this symmetry) may cause the walls to col...

We introduce a new confining force (μ-color) at TeV scale to dynamically generate a supersymmetry preserving mass scale which would replace the μ parameter in the minimal supersymmetric standard model (MSSM). We discuss the Higgs phenomenology and also the pattern of soft supersymmetry breaking parameters allowing the correct electroweak symmetry breaking within the μ-color model, which have qu...

proposed that such a light gauge boson can be detected at the Belle II experiment with a luminosity of 50 ab−1 by the e+e− → γ + / E process through the kinetic mixing with the photon, where the missing energy / E is from the Z ′ → ν̄ν decays. We study the phenomenological implications when a pair of singlet vector-like leptons carrying different Lμ −Lτ charges are included, and a complex single...

Higher order symmetry operators for the wave equation with scalar and vector potentials are investigated. All scalar potentials which admit second order symmetry operators are found explicitly. Symmetries of partial differential equations are used for separation of variables [1], description of conservation laws [2], construction of exact solutions [3], etc. Before can be applied, symmetries ha...