SCOAP3 Repository 10 records found  Search took 0.05 seconds. 
1. Bounded Collection of Feynman Integral Calabi-Yau 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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2. Cluster algebras and the subalgebra constructibility of the seven-particle remainder function / Golden, John ; McLeod, Andrew
We review various aspects of cluster algebras and the ways in which they appear in the study of loop-level amplitudes in planar N = 4 $$ \mathcal{N}=4 $$ supersymmetric Yang-Mills theory. [...]
Published in JHEP 1901 (2019) 017 10.1007/JHEP01(2019)017 arXiv:1810.12181
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3. Rationalizing loop integration / Bourjaily, Jacob ; McLeod, Andrew ; Hippel, Matt ; Wilhelm, Matthias
We show that direct Feynman-parametric loop integration is possible for a large class of planar multi-loop integrals. [...]
Published in JHEP 1808 (2018) 184 10.1007/JHEP08(2018)184 arXiv:1805.10281
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4. Traintracks through Calabi-Yau Manifolds: Scattering Amplitudes beyond Elliptic Polylogarithms / Bourjaily, Jacob L. ; He, Yang-Hui ; McLeod, Andrew J. ; von Hippel, Matt ; et al
We describe a family of finite, four-dimensional, L-loop Feynman integrals that involve weight-(L+1) hyperlogarithms integrated over (L1)-dimensional elliptically fibered varieties we conjecture to be Calabi-Yau manifolds. [...]
Published in Physical Review Letters 121 (2018) 10.1103/PhysRevLett.121.071603 arXiv:1805.09326
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5. The double pentaladder integral to all orders / Caron-Huot, Simon ; Dixon, Lance ; Hippel, Matt ; McLeod, Andrew ; et al
We compute dual-conformally invariant ladder integrals that are capped off by pentagons at each end of the ladder. [...]
Published in JHEP 1807 (2018) 170 10.1007/JHEP07(2018)170 arXiv:1806.01361
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6. Elliptic Double-Box 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 ten-particle, two-loop double-box integral as an elliptic integral over weight-three polylogarithms. [...]
Published in Phys. Rev. Lett. 120 (2018) 10.1103/PhysRevLett.120.121603 arXiv:1712.02785
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7. Bootstrapping the QCD soft anomalous dimension / Almelid, Øyvind ; Duhr, Claude ; Gardi, Einan ; McLeod, Andrew ; et al
The soft anomalous dimension governs the infrared singularities of scattering amplitudes to all orders in perturbative quantum field theory, and is a crucial ingredient in both formal and phenomenological applications of non-abelian gauge theories. [...]
Published in JHEP 1709 (2017) 073 10.1007/JHEP09(2017)073 arXiv:1706.10162
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8. 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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9. Multi-loop positivity of the planar N $$ \mathcal{N} $$ = 4 SYM six-point amplitude / Dixon, Lance ; Hippel, Matt ; McLeod, Andrew ; Trnka, Jaroslav
We study the six-point NMHV ratio function in planar N $$ \mathcal{N} $$ = 4 SYM theory in the context of positive geometry. [...]
Published in JHEP 1702 (2017) 112 10.1007/JHEP02(2017)112 arXiv:1611.08325
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10. The four-loop six-gluon NMHV ratio function / Dixon, Lance ; Hippel, Matt ; McLeod, Andrew
We use the hexagon function bootstrap to compute the ratio function which characterizes the next-to-maximally-helicity-violating (NMHV) six-point amplitude in planar N = 4 $$ \mathcal{N}=4 $$ super-Yang-Mills theory at four loops. [...]
Published in JHEP 1601 (2016) 053 10.1007/JHEP01(2016)053 arXiv:1509.08127
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3 McLeod, Andrew J.
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