Cross-ratio identities and higher-order poles of CHY-integrand
| dc.contributor.author | Cardona, Carlos A. | |
| dc.contributor.author | Feng, Bo | |
| dc.contributor.author | Gomez, Humberto | |
| dc.contributor.author | Huang, Rijun | |
| dc.date.accessioned | 2019-07-03T22:12:56Z | |
| dc.date.available | 2019-07-03T22:12:56Z | |
| dc.date.issued | 2016-09-01 | |
| dc.description.abstract | The evaluation of generic Cachazo-He-Yuan(CHY)-integrands is a big challenge and efficient computational methods are in demand for practical evaluation. In this paper, we propose a systematic decomposition algorithm by using cross-ratio identities, which provides an analytic and easy to implement method for the evaluation of any CHY-integrand. This algorithm aims to decompose a given CHY-integrand containing higher-order poles as a linear combination of CHY-integrands with only simple poles in a finite number of steps, which ultimately can be trivially evaluated by integration rules of simple poles. To make the method even more efficient for CHY-integrands with large number of particles and complicated higher-order pole structures, we combine the Λ-algorithm and the cross-ratio identities, and as a by-product it provides us a way to deal with CHY-integrands where the Λ-algorithm was not applicable in its original formulation. © 2016, The Author(s). | en_US |
| dc.identifier.issn | 11266708 | |
| dc.identifier.uri | https://repositorio.usc.edu.co/handle/20.500.12421/256 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Verlag | en_US |
| dc.subject | Differential and Algebraic Geometry | en_US |
| dc.subject | Scattering Amplitudes | en_US |
| dc.title | Cross-ratio identities and higher-order poles of CHY-integrand | en_US |
| dc.type | Article | en_US |
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