The hierarchy in the Yukawa couplings may be the result of a gauged horizontal U(1)H symmetry. If the mixed anomalies of the Standard Model gauge group with U(1)H are cancelled by a Green-Schwarz mechanism, a relation between the gauge couplings, the Yukawa couplings and the μ-term arises. Assuming that at a high energy scale g 3 = g 2 2 = 5 3g 2 1 and (memμmτ )/(mdmsmb) ∼ λ (where λ is of the ...

For K an abstract elementary class with amalgamation and no maximal models, we show that categoricity in a highenough cardinal implies structural properties such as the uniqueness of limit models and the existence of good frames. This improves several classical results of Shelah. Theorem 0.1. Let μ ≥ LS(K). If K is categorical in a λ ≥ i(2μ)+ , then: (1) Whenever M0,M1,M2 ∈ Kμ are such that M1 ...

We show that the hierarchically small μ term in supersymmetric theories is a consequence of two identical pairs of Higgs doublets taking a democratic form for their mass matrix. We briefly discuss the discrete symmetry S(2)×S(2) toward the democratic mass matrix. Then, we show that there results an approximate Peccei-Quinn symmetry and hence the value μ is related to the axion decay constant.

Results are presented of a Monte Carlo simulation of a three dimensional Gross-Neveu model with SU(2) ⊗ SU(2) chiral symmetry at non-zero baryon chemical potential μ, corresponding to non-zero baryon density. The phenomenon of quark pair condensation is sought via measurement of a two point function. For μ sufficiently large there is a sharp transition between a phase where the chiral symmetry ...

Abstract In this paper, a Lie symmetry method is used for the nonlinear generalized Camassa–Holm equation and as result reduction of order computing conservation laws are presented. Furthermore, μ -symmetry -conservation obtained.

The four-fermi model with continuous chiral symmetry is studied in three di-mensions at non-zero chemical potential μ using both the 1/Nf expansion andcomputer simulations. For strong coupling this model spontaneously breaksits U(1) chiral symmetry at zero chemical potential and the Goldstone mech-anism is realized through massless pions. The computer simulation predicts acr...

We examine the possibility that the lepton mixing matrix may exhibit a strong form of μ − τ universality, in which corresponding elements of the μand τ neutrino flavour eigenstates have equal moduli, and find that it is consistent with present data on neutrino oscillations. We point out that in the Dirac case, this is equivalent to symmetry under μ−τ reflection, ie. the combined operation of μ ...