236 citations · 2.2k across the 40 of their papers we have counts for
3 papers · 1 filter
Heptagons from the Steinmann Cluster Bootstrap
Lance J. Dixon, James Drummond, Thomas Harrington +3
We reformulate the heptagon cluster bootstrap to take advantage of the Steinmann relations, which require certain double discontinuities of any amplitude to vanish. These constrain…
Multi-Loop Positivity of the Planar SYM Six-Point Amplitude
Lance J. Dixon, Matt von Hippel, Andrew J. McLeod +1
We study the six-point NMHV ratio function in planar SYM theory in the context of positive geometry. The Amplituhedron construction of the integrand for the amplitudes…
Bootstrapping a Five-Loop Amplitude Using Steinmann Relations
Simon Caron-Huot, Lance J. Dixon, Andrew McLeod +1
The analytic structure of scattering amplitudes is restricted by Steinmann relations, which enforce the vanishing of certain discontinuities of discontinuities. We show that these…