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Multi-loop Amplitudes and Resummation | | George Sterman
; Maria E. Tejeda-Yeomans
; | | Date: |
8 Oct 2002 | | Journal: | Phys.Lett. B552 (2003) 48-56 | | Subject: | hep-ph | | Affiliation: | SUNY, Stony Brook | | Abstract: | 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. | | Source: | arXiv, hep-ph/0210130 | | Services: | Forum | Review | PDF | Favorites | |
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