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Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop

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arxiv 1409.3089 v1 pith:O4ZIKB2A submitted 2014-09-09 hep-th

Zvi Bern , Scott Davies , Tristan Dennen This is my paper · ORCID
classification hep-th
keywords cancellationsultravioletenhancedsupergravityamplitudesfourfour-loopfour-point
verification ladder T0 review T1 audit T2 compute T3 formal
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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-symmetry arguments. We explain why the diagrams of any covariant local formalism cannot manifestly exhibit the necessary cancellations for finiteness but instead require a new type of nontrivial ultraviolet cancellation that we call "enhanced cancellations". We also show that the three-loop four-point amplitudes in N = 4 and N = 5 supergravity theories display enhanced cancellations. To construct the loop integrand, we use the duality between color and kinematics. We apply standard methods for extracting ultraviolet divergences in conjunction with the FIRE5 integral reduction program to arrive at the four-loop results.

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