1.

Ultraviolet properties of $N=8$ supergravity at five loops
/ Bern, Zvi ; Carrasco, John Joseph ; Chen, WeiMing ; Edison, Alex ; et al
We use the recently developed generalized doublecopy construction to obtain an improved representation of the fiveloop fourpoint integrand of $N=8$ supergravity whose leading ultraviolet behavior we analyze using stateoftheart loopintegral expansion and reduction methods. [...]
Published in Physical Review D 98 (2018)
10.1103/PhysRevD.98.086021
arXiv:1804.09311
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2.

Bootstrapping twoloop Feynman integrals for planar N = 4 $$ \mathcal{N}=4 $$ sYM
/ Henn, Johannes ; Herrmann, Enrico ; ParraMartinez, Julio
We derive analytic results for the symbol of certain twoloop Feynman integrals relevant for seven and eightpoint twoloop scattering amplitudes in planar N = 4 $$ \mathcal{N}=4 $$ superYangMills theory. [...]
Published in JHEP 1810 (2018) 059
10.1007/JHEP10(2018)059
arXiv:1806.06072
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3.

Canceling the $U\left(1\right)$ Anomaly in the $S$ Matrix of $N=4$ Supergravity
/ Bern, Zvi ; ParraMartinez, Julio ; Roiban, Radu
$N=4$ supergravity is understood to contain a $U\left(1\right)$ anomaly which manifests itself via the nonvanishing of looplevel scattering amplitudes that violate a treelevel charge conservation rule. [...]
Published in Physical Review Letters 121 (2018)
10.1103/PhysRevLett.121.101604
arXiv:1712.03928
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4.

Manifesting enhanced cancellations in supergravity: integrands versus integrals
/ Bern, Zvi ; Enciso, Michael ; ParraMartinez, Julio ; Zeng, Mao
Examples of â€˜enhanced ultraviolet cancellationsâ€™ with no known standardsymmetry explanation have been found in a variety of supergravity theories. [...]
Published in JHEP 1705 (2017) 137
10.1007/JHEP05(2017)137
arXiv:1703.08927
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