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Landau Singularities and Symbology: One- and Two-loop MHV Amplitudes in SYM Theory
Tristan Dennen, Marcus Spradlin, Anastasia Volovich
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 $\m…
Hedgehog Bases for A_n Cluster Polylogarithms and An Application to Six-Point Amplitudes
Daniel E. Parker, Adam Scherlis, Marcus Spradlin +1
Multi-loop scattering amplitudes in N=4 Yang-Mills theory possess cluster algebra structure. In order to develop a computational framework which exploits this connection, we show h…
Double Soft Theorems in Gauge and String Theories
Anastasia Volovich, Congkao Wen, Michael Zlotnikov
We investigate the tree-level S-matrix in gauge theories and open superstring theory with several soft particles. We show that scattering amplitudes with two or three soft gluons o…