English

Discontinuites of BFKL amplitudes and the BDS ansatz

High Energy Physics - Theory 2015-12-09 v1

Abstract

We perform an examination of discontinuities of multiple production amplitudes, which are required for further development of the BFKL approach. It turns out that the discontinuities of 2 \to 2 + n amplitudes obtained in the BFKL approach contradict to the BDS ansatz for amplitudes with maximal helicity violation in N = 4 supersymmetric Yang-Mills theory with large number of colours starting with n = 2. Explicit expressions for the discontinuities of the 2 \to 3 and 2 \to 4 amplitudes in the invariant mass of pairs of produced gluons are obtained in the planar N=4 SYM in the next-to-leading logarithmic approximation. These expressions can be used for checking the conjectured duality between the light-like Wilson loops and the MHV amplitudes.

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Cite

@article{arxiv.1507.06560,
  title  = {Discontinuites of BFKL amplitudes and the BDS ansatz},
  author = {V. S. Fadin and R. Fiore},
  journal= {arXiv preprint arXiv:1507.06560},
  year   = {2015}
}

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26 pages