1.

AllLoop Singularities of Scattering Amplitudes in Massless Planar Theories
/ Prlina, Igor ; Spradlin, Marcus ; Stanojevic, Stefan
In massless quantum field theories the Landau equations are invariant under graph operations familiar from the theory of electrical circuits. [...]
Published in Physical Review Letters 121 (2018)
10.1103/PhysRevLett.121.081601
arXiv:1805.11617
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2.

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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3.

Correlators in the N = 2 $$ \mathcal{N}=2 $$ supersymmetric SYK model
/ Peng, Cheng ; Spradlin, Marcus ; Volovich, Anastasia
We study correlation functions in the onedimensional N = 2 $$ \mathcal{N}=2 $$ supersymmetric SYK model. [...]
Published in JHEP 1710 (2017) 202
10.1007/JHEP10(2017)202
arXiv:1706.06078
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4.

Cluster functions and scattering amplitudes for six and seven points
/ Harrington, Thomas ; Spradlin, Marcus
Scattering amplitudes in planar superYangMills theory satisfy several basic physical and mathematical constraints, including physical constraints on their branch cut structure and various empirically discovered connections to the mathematics of cluster algebras. [...]
Published in JHEP 1707 (2017) 016
10.1007/JHEP07(2017)016
arXiv:1512.07910
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5.

A supersymmetric SYKlike tensor model
/ Peng, Cheng ; Spradlin, Marcus ; Volovich, Anastasia
We consider a supersymmetric SYKlike model without quenched disorder that is built by coupling two kinds of fermionic N = 1 $$ \mathcal{N}=1 $$ tensorvalued superfields, “quarks” and “mesons”. [...]
Published in JHEP 1705 (2017) 062
10.1007/JHEP05(2017)062
arXiv:1612.03851
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6.

Heptagons from the Steinmann cluster bootstrap
/ Dixon, Lance ; Drummond, James ; Harrington, Thomas ; McLeod, Andrew ; et al
We reformulate the heptagon cluster bootstrap to take advantage of the Steinmann relations, which require certain double discontinuities of any amplitude to vanish. [...]
Published in JHEP 1702 (2017) 137
10.1007/JHEP02(2017)137
arXiv:1612.08976
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7.

Landau singularities and symbology: one and twoloop MHV amplitudes in SYM theory
/ Dennen, Tristan ; Spradlin, Marcus ; Volovich, Anastasia
We apply the Landau equations, whose solutions parameterize the locus of possible branch points, to the one and twoloop Feynman integrals relevant to MHV amplitudes in planar N = 4 $$ \mathcal{N}=4 $$ superYangMills theory. [...]
Published in JHEP 1603 (2016) 069
10.1007/JHEP03(2016)069
arXiv:1512.07909
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8.

Hedgehog bases for A n cluster polylogarithms and an application to sixpoint amplitudes
/ Parker, Daniel ; Scherlis, Adam ; Spradlin, Marcus ; Volovich, Anastasia
Multiloop scattering amplitudes in N = 4 $$ \mathcal{N}=4 $$ YangMills theory possess cluster algebra structure. [...]
Published in JHEP 1511 (2015) 136
10.1007/JHEP11(2015)136
arXiv:1507.01950
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9.

A cluster bootstrap for twoloop MHV amplitudes
/ Golden, John ; Spradlin, Marcus
We apply a bootstrap procedure to twoloop MHV amplitudes in planar N = 4 $$ \mathcal{N}=4 $$ superYangMills theory. [...]
Published in JHEP 1502 (2015) 002
10.1007/JHEP02(2015)002
arXiv:1411.3289
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10.

An analytic result for the twoloop sevenpoint MHV amplitude in N $$ \mathcal{N} $$ = 4 SYM
/ John Golden ; Marcus Spradlin
We describe a general algorithm which builds on several pieces of data available in the literature to construct explicit analytic formulas for twoloop MHV amplitudes in N $$ \mathcal{N} $$ = 4 superYangMills theory. [...]
Published in JHEP 1408 (2014) 154
10.1007/JHEP08(2014)154
arXiv:1406.2055
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