I argue that the observed flavor structures of leptons and quarks might imply the existence of certain flavor symmetries. The latter should be a good starting point to build realistic models towards deeper understanding of the fermion mass spectra and flavor mixing patterns. The µ-τ permutation symmetry serves for such an example to interpret the almost maximal atmospheric neutrino mixing angle...

We use the chiral quark-soliton model to identify all symmetry breaking terms linear in ms and investigate the strange magnetic moment in a “modelindependent” way. Assuming hedgehog symmetry and employing the collective quantization, we obtain the most general expression for the flavor-singlet and flavor-octet magnetic moments in terms of seven independent parameters. Having fitted these parame...

In the title compound (C(17)H(17)N(2))(2)[Fe(2)Cl(6)O], obtained from the solid-state reaction of FeCl(2) and N,N'-dibenzyl-imidazolium chloride, the complex anion has approximate D(3d) symmetry with crystallographically imposed inversion symmetry coincident with the bridging μ-O atom. The stereochemistry about each FeCl(3)O centre is distorted tetra-hedral [Fe-Cl = 2.2176 (5)-2.2427 (5) Å and ...

The solid-state structure of a dimeric β-diketiminate magnesium(II) complex is discussed. The compound, di-μ-iodido-bis-[(-{4-amino-1,5-bis-[2,6-bis-(propan-2-yl)phen-yl]pent-3-en-2-yl-idene}aza-nido-κ2N,N')magnesium(II)] toluene sesquisolvate, [Mg2(C29H41N2)2I2]·1.5C7H8, crystallizes as two independent mol-ecules, each with 2/m crystallographic site symmetry, located at Wyckoff sites 2c and 2d...

Weak scale supersymmetric theories often suffer from several naturalness problems: the problems of reproducing the correct scale for electroweak symmetry breaking, the correct abundance for dark matter, and small rates for flavor violating processes. We argue that the first two problems point to particular regions of parameter space in models with weak scale supersymmetry: those with a small μ ...

We propose a model of inflation based on a simple variant of the NMSSM, called φNMSSM where the additional singlet φ plays the role of the inflaton in hybrid (or inverted hybrid) type models. The φNMSSM solves the μ problem of the MSSM via the vacuum expectation value of the gauge singlet N, but also solves the strong CP problem through an approximate Peccei-Quinn symmetry. The potential energy...

We consider processes which produce final state hadrons whose energy is much greater than their mass. In this limit interactions involving collinear fermions and gluons are constrained by a symmetry, and we give a general set of rules for constructing leading and subleading invariant operators. Wilson coefficients C(μ, P̄) are functions of a label operator P̄ , and do not commute with collinear f...

For each integer n ≥ 2, we demonstrate that a 2n-dimensional generalized MICZ-Kepler problem with magmatic charge μ = 0 or 1/2 has an Spin(2, 2n+ 1) dynamical symmetry which extends the manifest Spin(2n) symmetry. The Hilbert space of bound states is shown to form a unitary highest weight Spin(2, 2n+1)-module which occurs at the first reduction point in the Enright-Howe-Wallach classification d...

The pion production by sigma decay and its relation with chiral symmetry restoration in a hot and dense matter are investigated in the framework of the Nambu-Jona-Lasinio model. The decay rate for the process σ → 2π to the lowest order in a 1/Nc expansion is calculated as a function of temperature T and chemical potential μ. The thermal and nonthermal enhancements of pions generated by the deca...

We consider a class of multi-matrix models with an action which is O(D)-invariant, where D is the number of N × N Hermitian matrices Xμ, μ = 1, . . . , D. The action is a function of all the elementary symmetric functions of the matrix Tμν = Tr(XμXν)/N . We address the issue whether the O(D) symmetry is spontaneously broken when the size N of the matrices goes to infinity. The phase diagram in ...