Five-loop four-point amplitude of N<format >=<format >4 super-yang-mills theory

Z. Bern, J. J.M. Carrasco, H. Johansson, R. Roiban

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Abstract

Using the method of maximal cuts, we construct the complete D-dimensional integrand of the five-loop four-point amplitude of N=4 super-Yang-Mills theory, including nonplanar contributions. In the critical dimension where this amplitude becomes ultraviolet divergent, we present a compact explicit expression for the nonvanishing ultraviolet divergence in terms of three vacuum integrals. This construction provides a crucial step towards obtaining the corresponding amplitude of N=8 supergravity required to resolve the general ultraviolet behavior of supergravity theories.

Original languageEnglish (US)
Article number241602
JournalPhysical review letters
Volume109
Issue number24
DOIs
StatePublished - Dec 12 2012

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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