Enhanced ultraviolet cancellations in N = 5 supergravity at four loops
By Z. Bern, S. Davies, Tristan Dennen. 2014
177 citations recorded by the source corpus.
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.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/aaa9d389dc0c145489cb58f99caf2197dacc9ac6
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In Astronomy and Astrophysics
In Nuclear and High Energy Physics
- Alexander Ochirov
- H. Johansson
- R. Roiban
- Z. Bern
- M. Zeng
- J. J. Carrasco
- D. O’Connell
- Rafael A. Porto
Citations in the corpus
- Ultraviolet properties of N=8 supergravity at five loops (2018, background): “The final expression for the leading ultraviolet behavior is incredibly compact, and exposes, in conjunction with previous results [5,6,11,19,20,24], simple and striking patterns.”
- Color-kinematics duality for QCD amplitudes (2015, methodology): “This structure has been used successfully for tree and loop amplitudes in massless gauge theories with and without supersymmetry, including massless QCD with no quarks [32, 40–51].”