Scattering Amplitudes in High Energy QCD

Details Scattering Amplitudes in High Energy QCD Scattering Amplitudes in High Energy QCD

2003-07-10

arxiv.org/abs/hep-ph/0307141v1

Phys.Rev. D69 (2004) 054016

Physics

High Energy Physics

High Energy Physics - Phenomenology

48 pages, 14 figures

Scientific paper

10.1103/PhysRevD.69.054016

We develop a new systematic procedure for the Regge limit in perturbative QCD to arbitrary logarithmic order. The formalism relies on the IR structure and the gauge symmetry of the theory. We identify leading regions in loop momentum space responsible for the singular structure of the amplitudes and perform power counting to determine the strength of these divergences. Using a factorization procedure introduced by Sen, we derive a sum of convolutions in transverse momentum space over soft and jet functions, which approximate the amplitude up to power-suppressed corrections. A set of evolution equations generalizing the BFKL equation and controlling the high energy behavior of the amplitudes to arbitrary logarithmic accuracy is derived. The general method is illustrated in the case of leading logarithmic gluon reggeization and BFKL equation.

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