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The Ultraviolet Critical Dimension of Half-Maximal Supergravity at Three Loops
Zvi Bern, Scott Davies, Tristan Dennen
We determine the minimum dimension at which divergences first occur in half-maximal 16-supercharge supergravity at three loops. For the four-point amplitudes, we find that the crit…
Logarithmic Singularities and Maximally Supersymmetric Amplitudes
Zvi Bern, Enrico Herrmann, Sean Litsey +2
The dual formulation of planar N = 4 super-Yang-Mills scattering amplitudes makes manifest that the integrand has only logarithmic singularities and no poles at infinity. Recently,…
Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
Zvi Bern, Scott Davies, Tristan Dennen
We show that the four-loop four-point amplitudes of N = 5 supergravity are ultraviolet finite in four dimensions, contrary to expectations based on supersymmetry and duality-symmet…
On Loop Corrections to Subleading Soft Behavior of Gluons and Gravitons
Zvi Bern, Scott Davies, Josh Nohle
Cachazo and Strominger recently proposed an extension of the soft-graviton theorem found by Weinberg. In addition, they proved the validity of their extension at tree level. This w…
Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance
Zvi Bern, Scott Davies, Paolo Di Vecchia +1
We show that at tree level, on-shell gauge invariance can be used to fully determine the first subleading soft-gluon behavior and the first two subleading soft-graviton behaviors.…