# Logarithmic singularities and maximally supersymmetric amplitudes

@article{Bern2014LogarithmicSA,
title={Logarithmic singularities and maximally supersymmetric amplitudes},
author={Zvi Bern and Enrico Herrmann and Sean Litsey and James Stankowicz and Jaroslav Trnka},
journal={Journal of High Energy Physics},
year={2014},
volume={2015},
pages={1-70}
}
• Published 30 December 2014
• Mathematics
• Journal of High Energy Physics
A bstractThe dual formulation of planar N=4$$\mathcal{N}=4$$ super-Yang-Mills scattering amplitudes makes manifest that the integrand has only logarithmic singularities and no poles at infinity. Recently, Arkani-Hamed, Bourjaily, Cachazo and Trnka conjectured the same singularity properties hold to all loop orders in the nonplanar sector as well. Here we conjecture that to all loop orders these constraints give us the key integrand level analytic information contained in dual conformal…

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