Five-loop four-point amplitude of N=4 super-Yang-Mills theory.
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.
Department of Physics and Astronomy, UCLA, Los Angeles, California 90095, USA.
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Z
Bern
J J M
JJ
Carrasco
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H
Johansson
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R
Roiban