Dennen, Tristan; Spradlin, Marcus; Volovich, Anastasia Landau singularities and symbology: one- and two-loop MHV amplitudes in SYM theory. (English) Zbl 1388.81308 J. High Energy Phys. 2016, No. 3, Paper No. 69, 19 p. (2016). Summary: We apply the Landau equations, whose solutions parameterize the locus of possible branch points, to the one- and two-loop Feynman integrals relevant to MHV amplitudes in planar \( \mathcal{N}=4 \) super-Yang-Mills theory. We then identify which of the Landau singularities appear in the symbols of the amplitudes, and which do not. We observe that all of the symbol entries in the two-loop MHV amplitudes are already present as Landau singularities of one-loop pentagon integrals. Cited in 18 Documents MSC: 81T13 Yang-Mills and other gauge theories in quantum field theory 81T60 Supersymmetric field theories in quantum mechanics Keywords:scattering amplitudes; supersymmetric gauge theory Software:two loop amplitudes PDFBibTeX XMLCite \textit{T. 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