Phenomenology of the 1/N$_f$ Expansion for Field Theories in Extra Dimensions

Details Phenomenology of the 1/N$_f$ Expansion for Field Theories in Extra Dimensions Phenomenology of the 1/N$_f$ Expansion for Field Theories in Extra Dimensions

2007-10-25

arxiv.org/abs/0710.4889v1

Eur.Phys.J.C55:101-105,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

Submitted for the SUSY07 proceedings, 4 pages, LaTeX, 4 eps figures + 3 axodraw figures

Scientific paper

10.1140/epjc/s10052-008-0570-1

In this paper we review the properties of the 1/$N_f$ expansion in multidimensional theories. Contrary to the usual perturbative expansion it is renormalizable and contains only logarithmic divergencies. The price for it is the presence of ghost states which, however, in certain cases do not contribute to physical amplitudes. In this case the theory is unitary and one can calculate the cross-sections. As an example we consider the differential cross section of elastic $eq \to eq$ scattering in $D=7,11,...$-dimensional world. We look also for the unification of the gauge couplings in multidimensional Standard Model and its SUSY extension which takes place at energies lower than in 4 dimensions.

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