Scattering amplitudes and simple canonical forms for simple polytopes

Scattering amplitudes and simple canonical forms for simple polytopes

Abstract We provide an efficient recursive formula to compute the canonical forms of arbitrary d-dimensional simple polytopes, which are convex polytopes such that every vertex lies precisely on d facets. For illustration purposes, we explicitly derive recursive formulae for the canonical forms of S...

Full description

Bibliographic Details
Main Authors: Giulio Salvatori, Stefan Stanojevic
Format: Article
Language:English
Published: SpringerOpen 2021-03-01
Series:Journal of High Energy Physics
Subjects:
Scattering Amplitudes
Differential and Algebraic Geometry
Online Access:https://doi.org/10.1007/JHEP03(2021)067
id doaj-3f54fef828d9481fa215df4b70b310bb
record_format Article
spelling doaj-3f54fef828d9481fa215df4b70b310bb2021-03-11T11:21:35ZengSpringerOpenJournal of High Energy Physics1029-84792021-03-012021312510.1007/JHEP03(2021)067Scattering amplitudes and simple canonical forms for simple polytopesGiulio Salvatori0Stefan Stanojevic1Department of Physics, Brown UniversityDepartment of Physics, Brown UniversityAbstract We provide an efficient recursive formula to compute the canonical forms of arbitrary d-dimensional simple polytopes, which are convex polytopes such that every vertex lies precisely on d facets. For illustration purposes, we explicitly derive recursive formulae for the canonical forms of Stokes polytopes, which play a similar role for a theory with quartic interaction as the Associahedron does in planar bi-adjoint ϕ 3 theory. As a by-product, our formula also suggests a new way to obtain the full planar amplitude in ϕ 4 theory by taking suitable limits of the canonical forms of constituent Stokes polytopes.https://doi.org/10.1007/JHEP03(2021)067Scattering AmplitudesDifferential and Algebraic Geometry
collection DOAJ
language English
format Article
sources DOAJ
author Giulio Salvatori
Stefan Stanojevic
spellingShingle Giulio Salvatori
Stefan Stanojevic
Scattering amplitudes and simple canonical forms for simple polytopes
Journal of High Energy Physics
Scattering Amplitudes
Differential and Algebraic Geometry
author_facet Giulio Salvatori
Stefan Stanojevic
author_sort Giulio Salvatori
title Scattering amplitudes and simple canonical forms for simple polytopes
title_short Scattering amplitudes and simple canonical forms for simple polytopes
title_full Scattering amplitudes and simple canonical forms for simple polytopes
title_fullStr Scattering amplitudes and simple canonical forms for simple polytopes
title_full_unstemmed Scattering amplitudes and simple canonical forms for simple polytopes
title_sort scattering amplitudes and simple canonical forms for simple polytopes
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2021-03-01
description Abstract We provide an efficient recursive formula to compute the canonical forms of arbitrary d-dimensional simple polytopes, which are convex polytopes such that every vertex lies precisely on d facets. For illustration purposes, we explicitly derive recursive formulae for the canonical forms of Stokes polytopes, which play a similar role for a theory with quartic interaction as the Associahedron does in planar bi-adjoint ϕ 3 theory. As a by-product, our formula also suggests a new way to obtain the full planar amplitude in ϕ 4 theory by taking suitable limits of the canonical forms of constituent Stokes polytopes.
topic Scattering Amplitudes
Differential and Algebraic Geometry
url https://doi.org/10.1007/JHEP03(2021)067
work_keys_str_mv AT giuliosalvatori scatteringamplitudesandsimplecanonicalformsforsimplepolytopes
AT stefanstanojevic scatteringamplitudesandsimplecanonicalformsforsimplepolytopes
_version_ 1724225586041192448

Similar Items