Eur. Phys. J. C (2011) 71: 1553
https://doi.org/10.1140/epjc/s10052-011-1553-1

Regular Article - Theoretical Physics

N=4 SYM and QCD motivated approach to soft interactions at high energies

¹ Department of Particle Physics, School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Science, Tel Aviv University, Tel Aviv, 69978, Israel
² Departamento de Física, Universidad Técnica Federico Santa María, Avda. España 1680, Casilla 110-V, Valparaiso, Chile

^* e-mail: gotsman@post.tau.ac.il

Received: 28 October 2010
Revised: 2 January 2011
Published online: 15 February 2011

Abstract

In this paper we construct a model that satisfies the theoretical requisites of high energy soft interactions, based on two ingredients: (i) the results of N=4 SYM, which at present is a unique theory that allows one to deal with a large coupling constant; and (ii) the requirement of matching with high energy QCD. In accordance with these ideas, we assume that the soft Pomeron intercept is relatively large, and the slope of the Pomeron trajectory is equal to zero. We derive analytical formulae that sum both enhanced and semi-enhanced diagrams for elastic and diffractive amplitudes. We fit the available experimental data, and predict the value for cross sections at the energies accessible at the LHC and beyond. The main corrections to the model are studied and evaluated.