A study of the diffusion pattern in N=4 SYM at high energies

Abstract

In the context of evolution nequations and scattering amplitudes in the high energy limit of the N=4 super Yang–Mills theory we investigate in some detail the BFKL gluon Green function at next-to-leading order. In particular, we study its collinear be havi or in term so fan expansion in different angular components. We also perform a Monte Carlo simulation of the different final states contributing to such a Green function and construct the diffusion pattern in to in frared and ultraviolet modes and multiplicity distributions, making emphasis in separating the gluon contributions from those of scalars and gluinos. We find that the combined role of the non-gluonic degree sof freedom is to improve the collinear behavior and reduce the diffusion in to ultraviolet regions while not having any effect ont heaver age multiplicities or diffusion in to the in frared. In terms of growth with energy,the non-zero conformal spin components are mainly driven by the gluon terms in the BFKLkernel. Forze rocon formal spin (Pomeron) the effect the scalar and gluino sectors is to dramatically push the Green function towards higher values ; F.C. thanks the Instituto de Física Teórica UAM/CSIC for the warm hospitality.Weack now ledge partial support from the European Comission under contract LHC PhenoNet (PITN-GA-2010-264564), the Comunidad de Madrid through HEPHACOSS2009/ESP-1473, and MICINN (FPA2010-17747) and Spanish MINECOs Centro de Excelencia Severo Ochoa Programme under grant SEV-2012-0249.TheworkofF.C.was supported by EuropeanCommission, European Social Fund and Calabria Region,that disclaim many lia-bility for the use that can be done of the information provided in this Letter.G.C. thanks the support from the Research Executive Agency(REA)of the European Union under the Grant Agree ment number PIEF-GA-2011-298582 and by MICINN (FPA2011-23778,FPA2007-60323 and CSD2007-00042CPAN)