Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 5, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP05(2013)106
Keywords
Scattering Amplitudes; Supersymmetric gauge theory; Supersymmetry and Duality; Wilson; 't Hooft and Polyakov loops
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Funding
- Simons Postdoctoral Fellowship
- Leverhulme Fellowship
- EPSRC [EP/J019518/1]
- Engineering and Physical Sciences Research Council [EP/J019518/1] Funding Source: researchfish
- EPSRC [EP/J019518/1] Funding Source: UKRI
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The S-matrix for planar N = 4 super Yang-Mills theory can be computed as the correlation function for a holomorphic polygonal Wilson loop in twistor space. In an axial gauge, this leads to the construction of the all-loop integrand via MHV diagrams in twistor space. We show that at MHV, this formulation leads directly to expressions for loop integrands in d log form; i.e., the integrand is a product of exterior derivatives of logarithms of rational functions. For higher MHV degree, it is in d log form multiplied by delta functions. The parameters appearing in the d log form arise geometrically as the coordinates of insertion points of propagators on the holomorphic Wilson loop or on MHV vertices. We discuss a number of examples at one and two loops and give a preliminary discussion of the evaluation of the 1-loop MHV amplitude.
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