Bootstrap and momentum transfer dependence in small x evolution equations
Using Monte Carlo integration techniques, we investigate running coupling effects compatible with the high energy bootstrap condition to all orders in the strong coupling in evolution equations valid at small values of Bjorken x in deep inelastic scattering. A model for the running of the coupling with analytic behavior in the infrared region and compatible with power corrections to jet observables is used. As a difference to the fixed coupling case, where the momentum transfer acts as an effective strong cutoff of the diffusion to infrared scales, in our running coupling study the dependence on the momentum transfer is much milder. ; G. C. thanks the Paul Scherrer Institut, the Department of Theoretical Physics at the Autonoma University of Madrid and the "Instituto de Fisica Teorica UAM/CSIC" for their hospitality. Research partially supported by the Research Executive Agency (REA) of the European Union under Grant Agreement No. PITN-GA-2010-264564 (LHCPhenoNet) and No. PIEF-GA-2011-298582, the Comunidad de Madrid through Proyecto HEPHACOS ESP-1473, and MICINN (FPA-2010-17747, FPA2011-23778, FPA2007-60323 and CSD2007-00042 CPAN) and Spanish MINECOs "Centro de Excelencia Severo Ochoa" Programme under Grant No. SEV-2012-0249. ; Peer reviewed