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J. M. Henn, “Multiloop Integrals in Dimensional Regularization Made Simple,” Phys. Rev. Lett
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2013
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L. J. Dixon, J. M. Drummond, M. von Hippel, and J. Pennington, “Hexagon Functions and the Three-Loop Remainder Function,” JHEP
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2013
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A. Hodges, “Eliminating Spurious Poles from Gauge-Theoretic Amplitudes,” JHEP
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2013
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2013
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Then

J. Bartels, V. Schomerus, and M. Sprenger, “The Bethe Roots of Regge Cuts in Strongly Coupled 𝒩 = 4 \mathcal{N}\!=\!4 Theory,” JHEP
Original
2015
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S. Bloch and P. Vanhove, “The Elliptic Dilogarithm for the Sunset Graph,” J. Number Theory
Original
2015
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Original
2015
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S. Caron-Huot, L. J. Dixon, A. McLeod, and M. von Hippel, “Bootstrapping a Five-Loop Amplitude Using Steinmann Relations,” Phys. Rev. Lett
Original
2016
Later among the works it cites.
J. L. Bourjaily, S. Franco, D. Galloni, and C. Wen, “Stratifying On-Shell Cluster Varieties: the Geometry of Non-Planar On-Shell Diagrams,” JHEP

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2018

Rationalizing Loop Integration

Bourjaily, Jacob L., McLeod, Andrew J., von Hippel, Matt et al.

Understand

We show that direct Feynman-parametric loop integration is possible for a large class of planar multi-loop integrals.

Much of this follows from the existence of manifestly dual-conformal Feynman-parametric representations of planar loop integrals, and the fact that many of the algebraic roots associated with (e.g.
Landau) leading singularities are automatically rationalized in momentum-twistor space---facilitating direct integration via partial fractioning.
We describe how momentum twistors may be chosen non-redundantly to parameterize particular integrals, and how strategic choices of coordinates can be used to expose kinematic limits of interest.