CHY-graphs on a torus

dc.contributor.author	Cardona, Carlos A.
dc.contributor.author	Gómez, Humberto
dc.date.accessioned	2019-07-03T22:11:58Z
dc.date.available	2019-07-03T22:11:58Z
dc.date.issued	2016-10-12
dc.description.abstract	Recently, we proposed a new approach using a punctured Elliptic curve in the CHY framework in order to compute one-loop scattering amplitudes. In this note, we further develop this approach by introducing a set of connectors, which become the main ingredient to build integrands on M 1 , n , the moduli space of n-punctured Elliptic curves. As a particular application, we study the Φ 3 bi-adjoint scalar theory. We propose a set of rules to construct integrands on M 1 , n from Φ 3 integrands on M 0 , n , the moduli space of n-punctured spheres. We illustrate these rules by computing a variety of Φ 3 one-loop Feynman diagrams. Conversely, we also provide another set of rules to compute the corresponding CHY-integrand on M 1 , n by starting instead from a given Φ 3 one-loop Feynman diagram. In addition, our results can easily be extended to higher loops. © 2016, The Author(s).	en_US
dc.identifier.issn	11266708
dc.identifier.uri	https://repositorio.usc.edu.co/handle/20.500.12421/254
dc.language.iso	en	en_US
dc.publisher	Springer Verlag	en_US
dc.subject	Differential and Algebraic Geometry	en_US
dc.subject	Field Theories in Higher Dimensions	en_US
dc.subject	Scattering Amplitudes	en_US
dc.title	CHY-graphs on a torus	en_US
dc.type	Article	en_US

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