Illustrations of integrand-basis building at two loops

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Illustrations of integrand-basis building at two loops. / Bourjaily, Jacob L.; Langer, Cameron; Zhang, Yaqi.

I: Journal of High Energy Physics, Bind 2022, Nr. 8, 176, 18.08.2022.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Bourjaily, JL, Langer, C & Zhang, Y 2022, 'Illustrations of integrand-basis building at two loops', Journal of High Energy Physics, bind 2022, nr. 8, 176. https://doi.org/10.1007/JHEP08(2022)176

APA

Bourjaily, J. L., Langer, C., & Zhang, Y. (2022). Illustrations of integrand-basis building at two loops. Journal of High Energy Physics, 2022(8), [176]. https://doi.org/10.1007/JHEP08(2022)176

Vancouver

Bourjaily JL, Langer C, Zhang Y. Illustrations of integrand-basis building at two loops. Journal of High Energy Physics. 2022 aug. 18;2022(8). 176. https://doi.org/10.1007/JHEP08(2022)176

Author

Bourjaily, Jacob L. ; Langer, Cameron ; Zhang, Yaqi. / Illustrations of integrand-basis building at two loops. I: Journal of High Energy Physics. 2022 ; Bind 2022, Nr. 8.

Bibtex

@article{2822186b15d549839c7e996eaf2d6778,
title = "Illustrations of integrand-basis building at two loops",
abstract = "We outline the concrete steps involved in building prescriptive master integrand bases for scattering amplitudes beyond the planar limit. We highlight the role of contour choices in such bases, and illustrate the full process by constructing a complete, triangle power-counting basis at two loops for six particles. We show how collinear contour choices can be used to divide integrand bases into separately finite and divergent subspaces, and how double-poles can be used to further subdivide these spaces according to (transcendental) weight. Complete details of the basis constructed for six particles is provided in the supplementary material.",
keywords = "Scattering Amplitudes, 1/N Expansion, Supersymmetric Gauge Theory, DIFFERENTIAL-EQUATIONS, N=8 SUPERGRAVITY, TREE AMPLITUDES, UNITARITY",
author = "Bourjaily, {Jacob L.} and Cameron Langer and Yaqi Zhang",
year = "2022",
month = aug,
day = "18",
doi = "10.1007/JHEP08(2022)176",
language = "English",
volume = "2022",
journal = "Journal of High Energy Physics (Online)",
issn = "1126-6708",
publisher = "Springer",
number = "8",

}

RIS

TY - JOUR

T1 - Illustrations of integrand-basis building at two loops

AU - Bourjaily, Jacob L.

AU - Langer, Cameron

AU - Zhang, Yaqi

PY - 2022/8/18

Y1 - 2022/8/18

N2 - We outline the concrete steps involved in building prescriptive master integrand bases for scattering amplitudes beyond the planar limit. We highlight the role of contour choices in such bases, and illustrate the full process by constructing a complete, triangle power-counting basis at two loops for six particles. We show how collinear contour choices can be used to divide integrand bases into separately finite and divergent subspaces, and how double-poles can be used to further subdivide these spaces according to (transcendental) weight. Complete details of the basis constructed for six particles is provided in the supplementary material.

AB - We outline the concrete steps involved in building prescriptive master integrand bases for scattering amplitudes beyond the planar limit. We highlight the role of contour choices in such bases, and illustrate the full process by constructing a complete, triangle power-counting basis at two loops for six particles. We show how collinear contour choices can be used to divide integrand bases into separately finite and divergent subspaces, and how double-poles can be used to further subdivide these spaces according to (transcendental) weight. Complete details of the basis constructed for six particles is provided in the supplementary material.

KW - Scattering Amplitudes

KW - 1/N Expansion

KW - Supersymmetric Gauge Theory

KW - DIFFERENTIAL-EQUATIONS

KW - N=8 SUPERGRAVITY

KW - TREE AMPLITUDES

KW - UNITARITY

U2 - 10.1007/JHEP08(2022)176

DO - 10.1007/JHEP08(2022)176

M3 - Journal article

VL - 2022

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

IS - 8

M1 - 176

ER -

ID: 318433431