Factorization in One-Loop Gauge Theory

Details Factorization in One-Loop Gauge Theory Factorization in One-Loop Gauge Theory

1995-03-05

arxiv.org/abs/hep-ph/9503236v2

Nucl.Phys.B447:465-518,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

Minor corrections made, 51 pages including figures

Scientific paper

10.1016/0550-3213(95)00226-I

Factorization properties of one-loop gauge theory amplitudes have been used as checks on explicitly computed amplitudes and in the construction of ansatze for higher-point ones. In massless theories, such as QCD at high energies, infrared divergences complicate factorization. Here we prove that factorization in such theories is described by a set of universal functions. In particular, a proof of the universality of one-loop splitting functions as the momenta of two particles become collinear is presented. Factorization in multi-particle channels is also given. The discontinuity functions that appear in the splitting functions may also be used to obtain infrared divergent box integral functions from finite ones.

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