Multi-loop Amplitudes and Resummation

Details Multi-loop Amplitudes and Resummation Multi-loop Amplitudes and Resummation

2002-10-08

arxiv.org/abs/hep-ph/0210130v3

Phys.Lett. B552 (2003) 48-56

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, LateX2e using elsart.cls (included). Typographical errors corrected and expansion in renormalized coupling clarified

Scientific paper

10.1016/S0370-2693(02)03100-3

We explore the relation between resummation and explicit multi-loop calculations for QCD hard-scattering amplitudes. We describe how the factorization properties of amplitudes lead to the exponentiation of double and single poles at each order of perturbation theory. For these amplitudes, previously-observed relations between single and double poles in different 2 to 2 processes can now be interpreted in terms of universal functions associated with external partons and process-dependent anomalous dimensions that describe coherent soft radiation. Catani's proposal for multiple poles in dimensionally-continued amplitudes emerges naturally.

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