1209.2472 (Zvi Bern et al.)

Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence
of the Double-Copy Structure    [PDF]

Zvi Bern, Scott Davies, Tristan Dennen, Yu-tin Huang

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 in D<6. We link the cancellations that render these supergravity amplitudes finite to corresponding ones that eliminate forbidden color factors from the divergences of pure nonsupersymmetric Yang-Mills theory. The vanishing of the two-loop four-point divergence in D=5 half-maximal supergravity is an example where a valid counterterm satisfying the known symmetries exists, yet is not present. We also give explicit forms of divergences in half-maximal supergravity at one loop in D=8 and at two loops in D=6.

View original: http://arxiv.org/abs/1209.2472