Computation of contour integrals on ℳ0,n

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dc.contributor.authorCachazo, Freddy
dc.contributor.authorGomez, Humberto [UNESP]
dc.contributor.institutionPerimeter Institute for Theoretical Physics
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionFacultad de Ciencias Básicas — Universidad Santiago de Cali
dc.date.accessioned2018-12-11T17:02:28Z
dc.date.available2018-12-11T17:02:28Z
dc.date.issued2016-04-01
dc.description.abstractContour integrals of rational functions over (Formula presented.) , the moduli space of n-punctured spheres, have recently appeared at the core of the tree-level S-matrix of massless particles in arbitrary dimensions. The contour is determined by the critical points of a certain Morse function on (Formula presented.). The integrand is a general rational function of the puncture locations with poles of arbitrary order as two punctures coincide. In this note we provide an algorithm for the analytic computation of any such integral. The algorithm uses three ingredients: an operation we call general KLT, Petersen’s theorem applied to the existence of a 2-factor in any 4-regular graph and Hamiltonian decompositions of certain 4-regular graphs. The procedure is iterative and reduces the computation of a general integral to that of simple building blocks. These are integrals which compute double-color-ordered partial amplitudes in a bi-adjoint cubic scalar theory.en
dc.description.affiliationPerimeter Institute for Theoretical Physics
dc.description.affiliationInstituto de Fisica Teorica UNESP — Universidade Estadual Paulista, Caixa Postal 70532-2
dc.description.affiliationFacultad de Ciencias Básicas — Universidad Santiago de Cali, Calle 5 N °62-00, Barrio Pampalinda
dc.description.affiliationUnespInstituto de Fisica Teorica UNESP — Universidade Estadual Paulista, Caixa Postal 70532-2
dc.identifierhttp://dx.doi.org/10.1007/JHEP04(2016)108
dc.identifier.citationJournal of High Energy Physics, v. 2016, n. 4, 2016.
dc.identifier.doi10.1007/JHEP04(2016)108
dc.identifier.file2-s2.0-84964252141.pdf
dc.identifier.issn1029-8479
dc.identifier.issn1126-6708
dc.identifier.scopus2-s2.0-84964252141
dc.identifier.urihttp://hdl.handle.net/11449/172862
dc.language.isoeng
dc.relation.ispartofJournal of High Energy Physics
dc.relation.ispartofsjr1,227
dc.relation.ispartofsjr1,227
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectDifferential and Algebraic Geometry
dc.subjectScattering Amplitudes
dc.subjectSuperstrings and Heterotic Strings
dc.titleComputation of contour integrals on ℳ0,nen
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