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D = 5 maximally supersymmetric Yang-Mills theory diverges at six loops
Zvi Bern, John Joseph Carrasco, Lance J. Dixon +3
The connection of maximally supersymmetric Yang-Mills theory to the (2,0) theory in six dimensions has raised the possibility that it might be perturbatively ultraviolet finite in…
Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure
Zvi Bern, Scott Davies, Tristan Dennen +1
We show that the double-copy structure of gravity forbids divergences in pure half-maximal (16 supercharge) supergravity at four and five points at one loop in D<8 and at two loops…
The Five-Loop Four-Point Amplitude of N=4 super-Yang-Mills Theory
Z. Bern, J. J. M. Carrasco, H. Johansson +1
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 cont…
Absence of Three-Loop Four-Point Divergences in N=4 Supergravity
Zvi Bern, Scott Davies, Tristan Dennen +1
We compute the coefficient of the potential three-loop divergence in pure N=4 supergravity and show that it vanishes, contrary to expectations from symmetry arguments. The recently…
Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
Z. Bern, J. J. M. Carrasco, L. J. Dixon +2
We use the duality between color and kinematics to simplify the construction of the complete four-loop four-point amplitude of N=4 super-Yang-Mills theory, including the nonplanar…