One of the challenges of supersymmetry (SUSY) breaking and mediation is generating a μ term consistent with the requirements of electro-weak symmetry breaking. The most common approach to the problem is to generate the μ term through a SUSY breaking F-term. Often these models produce unacceptably large Bμ terms as a result. We will present an alternate approach, where the μ term is generated di...

Less roughly: Two figures in a space1 S are are isometric iff there is a distance-preserving bijection between the points of one and the points of the other. It is common to talk as if we can ‘move’ a geometric figure around in a given space. That’s loose. Better to think of it like this: some regions of a given space are translations, rotations, or reflections of other regions of the space. Th...

We show how the LHC potential to detect a rather light CP-even Higgs boson of the NMSSM, H1 or H2, decaying into CP-odd Higgs states, A1A1, can be improved if Higgs-strahlung off W bosons and (more marginally) off top-antitop pairs are employed alongside vector boson fusion as production modes. Our results should help extracting at least one Higgs boson signal over the NMSSM parameter space. Th...

Abstract Localization by a broken particle–hole (PH) symmetry in random system of non-interacting quantum particles is studied on d -dimensional lattice. Our approach based chiral argument and the corresponding invariant measure, where latter described Grassmann functional integral. Within loop expansion we find for small loops diffusion case PH symmetry. Breaking results creation dimers, which...

We show that the symmetry classes of torsion-free covariant derivatives ∇T of r-times covariant tensor fields T can be characterized by LittlewoodRichardson products σ[1] where σ is a representation of the symmetric group Sr which is connected with the symmetry class of T . If σ ∼ [λ] is irreducible then σ[1] has a multiplicity free reduction [λ][1] ∼ ∑ λ⊂μ[μ] and all primitive idempotents belo...

It is well-known (see [1]) that for a Heisenberg magnet symmetry operators and symmetry classes can be defined in a very similar way as for tensors (see e.g. [2, 3, 4]). Newer papers which consider the action of permutations on the Hilbert space H of the Heisenberg magnet are [5, 6, 7, 8]. We define symmetry classes and commutation symmetries in the Hilbert space H of the 1D spin-1/2 Heisenberg...

We derive analytical expressions for the solid angle subtended by a circular disc at a point source with cosine angular distribution (f(μ) = μ) under the sole condition that the disc lies in half-space illuminated by the source (μ ≥ 0). The expressions are given with reference to two alternative coordinate systems (S and S’), S being such that the z axis is parallel to the symmetry axis of the ...