Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 11, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP11(2016)125
Keywords
Scattering Amplitudes; AdS-CFT Correspondence; Duality in Gauge Field Theories
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Funding
- Harvard Milton Fund
- Danish National Research Foundation [DNRF91]
- MOBILEX research grant from the Danish Council for Independent Research
- STFC studentship
- STFC Consolidated Grant [ST/L000407/1]
- Marie Curie network GATIS of the European Union's Seventh Framework Programme under REA [317089]
- STFC [ST/L000407/1] Funding Source: UKRI
- Science and Technology Facilities Council [1451798, ST/L000407/1] Funding Source: researchfish
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We introduce two new graphical-level relations among possible contributions to the four-point correlation function and scattering amplitude in planar, maximally supersymmetric Yang-Mills theory. When combined with the rung rule, these prove powerful enough to fully determine both functions through ten loops. This then also yields the full five-point amplitude to eight loops and the parity-even part to nine loops. We derive these rules, illustrate their applications, compare their relative strengths for fixing coefficients, and survey some of the features of the previously unknown nine and ten loop expressions. Explicit formulae for amplitudes and correlators through ten loops are available at: http://goo.gl/JH0yEc.
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