D. I. Kazakov

EGRET Excess of Diffuse Galactic Gamma Rays as Tracer of Dark Matter

The public data from the EGRET space telescope on diffuse Galactic gamma rays in the energy range from 0.1 to 10 GeV are reanalyzed with the purpose of searching for signals of Dark Matter annihilation (DMA). The analysis confirms the previously observed excess for energies above 1 GeV in comparison with the expectations from conventional Galactic models. In addition, the excess was found to show all the key features of a signal from Dark Matter Annihilation (DMA): a) the excess is observable in all sky directions and has the same shape everywhere, thus pointing to a common source; b) the shape corresponds to the expected spectrum of the annihilation of non-relativistic massive particles into – among others – neutral π 0 mesons, which decay into photons. From the energy spectrum of the excess we deduce a WIMP mass between 50 and 100 GeV, while from the intensity of the excess in all sky directions the shape of the halo could be reconstructed. The DM halo is consistent with an almost spherical isothermal profile with substructure in the Galactic plane in the form of toroidal rings at 4 and 14 kpc from the center. These rings lead to a peculiar shape of the rotation curve, in agreement with the data, which proves that the EGRET excess traces the Dark Matter.

Renormalizations in softly broken SUSY gauge theories

Abstract The supergraph technique for calculations in supersymmetric gauge theories where supersymmetry is broken in a “soft” way (without introducing quadratic divergencies) is reviewed. By introducing an external spurion field the set of Feynman rules is formulated and explicit connections between the UV counterterms of a softly broken and rigid SUSY theories are found. It is shown that the renormalization constants of softly broken SUSY gauge theory also become external superfields depending on the spurion field. Their explicit form repeats that of the constants of a rigid theory with the redefinition of the couplings. The method allows us to reproduce all known results on the renormalization of soft couplings and masses in a softly broken theory. As an example the renormalization group functions for soft couplings and masses in the Minimal Supersymmetric Standard Model up to the three-loop level are calculated.

Renormalizations in supersymmetric and nonsupersymmetric non-abelian Chern-Simons field theories with matter

Abstract We explicitly carry out the renormalization of non-abelian Chern-Simons field theories with matter in (2 + 1) dimensions. All the renormalization constants are calculated to the leading two-loop order both in terms of component fields and N = 1 superfields for the fundamental representation of the SU(n), Sp(n) and SO(n) groups. Renormalization-group fixed points are found, and their stability properties are examined. It is shown that the N = 2 supersymmetry is realized as an infrared fixed-point solution, where the ultraviolet divergencies cancel.

On form factors in N=4 sym

In this paper we study the form factors for the half-BPS operators

On MHV Form Factors in Superspace for

\mathcal{O}_I^{(n)}

\mathcal{n}=4

and the

SYM Theory

\mathcal{N} = 4

Predictions of SUSY masses in the minimal supersymmetric grand unified theory

stress-tensor supermultiplet TAB up to the second order of perturbation theory and for the Konishi operator

Beyond the Standard Model (in Search of Supersymmetry)

\mathcal{K}

The supersymmetric interpretation of the EGRET excess of diffuse Galactic gamma rays

at first order of perturbation theory in the