Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 8, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP08(2015)119
Keywords
Supersymmetric gauge theory; Scattering Amplitudes; 1/N Expansion
Categories
Funding
- Aspen Center for Physics
- NSF [1066293]
- Hong Kong University of Science and Technology's Institute for Advanced Study
- California Institute of Technology
- Harvard Society of Fellows
- Harvard Milton Fund
- Danish Council for Independent Research
- David and Ellen Lee Postdoctoral Scholarship
- Department of Energy [DE-5C0011632]
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We use generalized unitarity at the integrand-level to directly construct local, manifestly dual-conformally invariant formulae for all two-loop scattering amplitudes in planar, maximally supersymmetric Yang-Mills theory (SYM). This representation separates contributions into manifestly finite and manifestly divergent terms - in a way that renders all infrared-safe observables (including ratio functions) calculable without any need for regulation. These results perfectly match the all-loop BCFW recursion relations, to which we provide a closed-form solution valid through two-loop-order. Finally, we describe and document a MATHEMATICA package which implements these results, available as part of this work's source files on the arXiv.
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