Illustrations of integrand-basis building at two loops

Autor: Jacob L. Bourjaily, Cameron Langer, Yaqi Zhang

Publikováno v: Journal of High Energy Physics, Vol 2022, Iss 8, Pp 1-36 (2022)

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

Externí odkaz: https://doaj.org/article/23bead204b7c4a40bfcd8913b8a181c3

Locally-finite quantities in sYM

Autor: Jacob L. Bourjaily, Cameron Langer, Kokkimidis Patatoukos

Publikováno v: Journal of High Energy Physics, Vol 2021, Iss 4, Pp 1-21 (2021)

Abstract A locally-finite quantity is one for which there is no region of divergence anywhere in the space of real loop momenta; it can therefore be computed (in principle) without regularization. In this work, we prove that all two-loop ratio functi

Externí odkaz: https://doaj.org/article/f9e6a044f1e44e3097c6c830a751676a

Sign flip triangulations of the amplituhedron

Autor: Ryota Kojima, Cameron Langer

Publikováno v: Journal of High Energy Physics, Vol 2020, Iss 5, Pp 1-34 (2020)

Abstract We present new triangulations of the m = 4 amplituhedron relevant for scattering amplitudes in planar N $$ \mathcal{N} $$ = 4 super-Yang-Mills, obtained directly from the combinatorial definition of the geometry. Using the “sign flip” ch

Externí odkaz: https://doaj.org/article/42b0a9dce29542c48d07fd0ea686ac1a

All-loop cuts from the Amplituhedron

Autor: Cameron Langer, Akshay Yelleshpur Srikant

Publikováno v: Journal of High Energy Physics, Vol 2019, Iss 4, Pp 1-40 (2019)

Abstract The definition of the amplituhedron in terms of sign flips involves both one-loop constraints and the “mutual positivity” constraint. To gain an understanding of the all-loop integrand of N = 4 $$ \mathcal{N}=4 $$ sYM requires understand

Externí odkaz: https://doaj.org/article/1a8a0f43e77e4d5cb61cda706fb8a5fa

Locally-finite quantities in sYM

Autor: Cameron Langer, Kokkimidis Patatoukos, Jacob L. Bourjaily

Publikováno v: Bourjaily, J L, Langer, C & Patatoukos, K 2021, ' Locally-finite quantities in sYM ', Journal of High Energy Physics, vol. 2021, no. 4, 298 . https://doi.org/10.1007/JHEP04(2021)298
Journal of High Energy Physics, Vol 2021, Iss 4, Pp 1-21 (2021)
Journal of High Energy Physics

Alocally-finitequantity is one for which there is no region of divergence anywhere in the space of real loop momenta; it can therefore be computed (in principle) without regularization. In this work, we prove thatalltwo-loop ratio functions in planar

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::054f1ed52846d307bf005cb21330a866
https://curis.ku.dk/ws/files/272651008/Bourjaily2021_Article_Locally_finiteQuantitiesInSYM.pdf