Recursion relations and scattering amplitudes in the light-front formalism

Abstract

The fragmentation functions and scattering amplitudes are investigated in the framework of light-front perturbation theory. It is demonstrated that, the factorization property of the fragmentation functions implies the recursion relations for the off-shell scattering amplitudes which are light-front analogs of the Berends-Giele relations. These recursion relations on the light-front can be solved exactly by induction and it is shown that the expressions for the off-shell light-front amplitudes are represented as a linear combinations of the on-shell amplitudes. By putting external particles on-shell we recover the scattering amplitudes previously derived in the literature.

15 pages, 5 figures, LaTeX

References in corpus (3)

• Helac-Phegas: a generator for all parton level processes
• All tree-level amplitudes in massless QCD
• CAMORRA: a C++ library for recursive computation of particle scattering amplitudes

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• Off-shell amplitudes as boundary integrals of analytically continued Wilson line slope
• QCD on the Light-Front -- A Systematic Approach to Hadron Physics
• Wilson Lines and Boundary Operators of BCFW Shifts
• Light-Front Holographic Quantum Chromodynamics