1.

Manifestly dualconformal loop integration
/ Bourjaily, Jacob L. ; Dulat, Falko ; Panzer, Erik
Local, manifestly dualconformally invariant loop integrands are now known for all finite quantities associated with observables in planar, maximally supersymmetric YangMills theory through three loops. [...]
Published in Nuclear Physics B 942 (2019) 251302
10.1016/j.nuclphysb.2019.03.022
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2.

Maximally supersymmetric amplitudes at infinite loop momentum
/ Bourjaily, Jacob L. ; Herrmann, Enrico ; Trnka, Jaroslav
We investigate the asymptotically large loopmomentum behavior of multiloop amplitudes in maximally supersymmetric ($N=4$, 8) quantum field theories in four dimensions. [...]
Published in Physical Review D 99 (2019)
10.1103/PhysRevD.99.066006
arXiv:1812.11185
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3.

Bounded Collection of Feynman Integral CalabiYau Geometries
/ Bourjaily, Jacob L. ; McLeod, Andrew J. ; von Hippel, Matt ; Wilhelm, Matthias
We define the rigidity of a Feynman integral to be the smallest dimension over which it is nonpolylogarithmic. [...]
Published in Physical Review Letters 122 (2019)
10.1103/PhysRevLett.122.031601
arXiv:1810.07689
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4.

Traintracks through CalabiYau Manifolds: Scattering Amplitudes beyond Elliptic Polylogarithms
/ Bourjaily, Jacob L. ; He, YangHui ; McLeod, Andrew J. ; von Hippel, Matt ; et al
We describe a family of finite, fourdimensional, $L$loop Feynman integrals that involve weight($L+1$) hyperlogarithms integrated over ($L1$)dimensional elliptically fibered varieties we conjecture to be CalabiYau manifolds. [...]
Published in Physical Review Letters 121 (2018)
10.1103/PhysRevLett.121.071603
arXiv:1805.09326
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5.

Elliptic DoubleBox Integrals: Massless Scattering Amplitudes beyond Polylogarithms
/ Bourjaily, Jacob L. ; McLeod, Andrew J. ; Spradlin, Marcus ; von Hippel, Matt ; et al
We derive an analytic representation of the tenparticle, twoloop doublebox integral as an elliptic integral over weightthree polylogarithms. [...]
Published in Phys. Rev. Lett. 120 (2018)
10.1103/PhysRevLett.120.121603
arXiv:1712.02785
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6.

Analytic representations of Yang–Mills amplitudes
/ BjerrumBohr, N.E.J. ; Bourjaily, Jacob L. ; Damgaard, Poul H. ; Feng, Bo
Scattering amplitudes in Yang–Mills theory can be represented in the formalism of Cachazo, He and Yuan (CHY) as integrals over an auxiliary projective space—fully localized on the support of the scattering equations. [...]
Published in Nuclear Physics B (2016)
10.1016/j.nuclphysb.2016.10.012
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