I present a brief overview of the advantages of using a consistent effective Lagrangian approach in parameterizing virtual new physics effects. I then apply the formalism to certain top-quark processes.

Let r ≥ 2 be an integer. A real number α ∈ [0, 1) is a jump for r if for any ε > 0 and any integer m, m ≥ r, any r-uniform graph with n > n0(ε, m) vertices and density at least α + ε contains a subgraph with m vertices and density at least α + c, where c = c(α) does not depend on ε or m. It follows from a result of Erdős, Stone, and Simonovits that every α ∈ [0, 1) is a jump for r = 2. Erdős as...

In this paper we investigate a hidden consequence of the hypothesis that Lagrangians and field equations must be invariant under active local Lorentz transformations. We show that this hypothesis implies in an equivalence between spacetime structures with several curvature and torsion possibilities.

We make a conjecture about mean curvature flow of Lagrangian submanifolds of Calabi-Yau manifolds, expanding on that of [Th]. We give new results about the stability condition, and propose a Jordan-Hölder-type decomposition of (special) Lagrangians. The main results are the uniqueness of special Lagrangians in hamiltonian deformation classes of Lagrangians, under mild conditions, and a proof of...

We investigate Cabibbo suppressed D, D andD s radiative weak decays in order to find the best mode to test c → uγ decay. Combining heavy quark effective theory and the chiral Lagrangian approach we determine the decay widths. We calculate Γ(D → ρ/ωγ)/Γ(D → K̄∗0γ) previously proposed to search for possible New Physics. However, we notice that there are large, unknown, corrections within the Stand...

There is much discussion of scenarios where the space-time coordinates x are noncommutative. The discussion has been extended to include nontrivial anticommutation relations among spinor coordinates in superspace. A number of authors have studied field theoretical consequences of the deformation of N = 1 superspace arising from nonanticommutativity of coordinates θ, while leaving θ̄’s anticommut...

Two common misconceptions about the theory of Special Relativity that are actively taught in textbooks are discussed. It is shown, first, that the Lorentz transformations are actually transformations of the coordinates of a photon, not the coordinates of a particle as taught by some authors. Secondly, a misconception concerning the relativistic Lagrangian is discussed. It is shown that the curr...

A nonlinearly realized supersymmetric action describing the invariant couplings of the Goldstino to matter is constructed. Using the Akulov-Volkov Lagrangian, any operator can be made part of a supersymmetric invariant action. Of particular interest are interaction terms which include the product of the Akulov-Volkov Lagrangian with the ordinary matter Lagrangian as well as the coupling of the ...

The study of the scattering at high energy of the gauge bosons W and Z, in particular longitudinally polarized W and Z, can clarify the mechanism of spontaneous symmetry breaking in the Standard Model of the electroweak interactions. Different models of strong electroweak sector, based on the effective lagrangian approach are briefly reviewed. They include models with no resonance, with scalar ...

The correspondence between the BV-formalism and integration theory on supermanifolds is established. An explicit formula for the density on a Lagrangian surface in a superspace provided with an odd symplectic structure and a volume form is proposed.