Multi-loop Amplitudes and Resummation
摘要
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.
引用
@article{arxiv.hep-ph/0210130,
title = {Multi-loop Amplitudes and Resummation},
author = {George Sterman and Maria E. Tejeda-Yeomans},
journal= {arXiv preprint arXiv:hep-ph/0210130},
year = {2014}
}
备注
14 pages, LateX2e using elsart.cls (included). Typographical errors corrected and expansion in renormalized coupling clarified. Thanks added to Z. Bern and L. Dixon for critical readings of the original version