Infrared singularities and the high-energy limit

Details Infrared singularities and the high-energy limit Infrared singularities and the high-energy limit

2012-01-13

arxiv.org/abs/1201.2841v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, proceedings of the 10th International Symposium on Radiative Corrections (RADCOR 2011), Mamallapuram, India

Scientific paper

We review recent results on the high-energy limit of gauge amplitudes, which can be derived from the universal properties of their infrared singularities. Using the dipole formula, a compact ansatz for infrared singularities of massless gauge amplitudes, and taking the high-energy limit, we provide a simple expression for the soft factor of a generic high-energy amplitude, valid to leading power in $t/s$ and to all logarithmic orders. This gives a direct and general proof of leading-logarithmic Reggeization for infrared divergent contributions to the amplitude, and it shows how Reggeization breaks down at NNLL level. We further show how the dipole formula constrains the high-energy limit of multi-particle amplitudes in multi-Regge kinematics, and how, on the other hand, Regge theory constrains possible corrections to the dipole formula.

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