TY - JOUR
T1 - Five-loop four-point amplitude of N=4 super-yang-mills theory
AU - Bern, Z.
AU - Carrasco, John Joseph
AU - Johansson, H.
AU - Roiban, R.
PY - 2012/12/12
Y1 - 2012/12/12
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.109.241602
DO - 10.1103/PhysRevLett.109.241602
M3 - Article
C2 - 23368304
AN - SCOPUS:84871035330
SN - 0031-9007
VL - 109
JO - Physical review letters
JF - Physical review letters
IS - 24
M1 - 241602
ER -