English

Infrared singularities in the high-energy limit

High Energy Physics - Phenomenology 2012-10-26 v1

Abstract

We use our current understanding of the all-order singularity structure of gauge theory amplitudes to probe their high-energy limit. Our starting point is the dipole formula, a compact ansatz for the soft anomalous dimension matrix of massless multi-particle amplitudes. In the high-energy limit, we find a simple and general expression for the infrared factor generating all soft and collinear singularities of the amplitude, which is valid to leading power in t/s|t|/s and to all logarithmic orders. This leads to a direct and general proof of leading-logarithmic Reggeization for infrared divergent contributions to the amplitude. Furthermore, we can prove explicitly that the simplest form of Reggeization, based on the absence of Regge cuts in the complex angular momentum plane, breaks down at the NNLL level. Finally, we note that the known features of the high-energy limit can be used to constrain possible corrections to the dipole formula, starting at the three-loop order.

Keywords

Cite

@article{arxiv.1210.6786,
  title  = {Infrared singularities in the high-energy limit},
  author = {Lorenzo Magnea and Vittorio Del Duca and Claude Duhr and Einan Gardi and Chris D. White},
  journal= {arXiv preprint arXiv:1210.6786},
  year   = {2012}
}

Comments

10 pages, 1 figure. Proceedings of "Loops and Legs in Quantum Field Theory", Wernigerode (Germany), 15-20/4/2012

R2 v1 2026-06-21T22:27:36.089Z