Testing high-energy factorization beyond the next-to-leading-logarithmic accuracy

Details Testing high-energy factorization beyond the next-to-leading-logarithmic accuracy Testing high-energy factorization beyond the next-to-leading-logarithmic accuracy

2008-02-29

arxiv.org/abs/0802.4445v3

JHEP 0805:056,2008

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, it uses JHEP3 style; corrected typos; accepted by JHEP

Scientific paper

10.1088/1126-6708/2008/05/056

By taking the high-energy limit of the two-loop and the three-loop four-point amplitudes in the maximally supersymmetric N=4 Yang-Mill theory (MSYM), we test the validity of the loop expansion of the high-energy amplitude, beyond the next-to-leading-logarithmic (NLL) accuracy. We compute the three-loop Regge trajectory, and the two-loop and three-loop coefficient functions. These quantities are relevant for the BFKL evolution beyond NLL, as well as building MSYM two-loop and three-loop amplitudes with many legs in the high-energy limit, which in turn may be used as a powerful check of the evaluation of the corresponding exact amplitudes.

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