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Cross-ratio identities and higher-order poles of CHY-integrand
(Springer Verlag, 2016-09-01)
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 ...
Computation of contour integrals on ℳ0,n
(Springer Verlag, 2016-04-01)
Contour 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 ...
Elliptic scattering equations
(Springer Verlag, 2016-06-01)
Recently the CHY approach has been extended to one loop level using elliptic functions and modular forms over a Jacobian variety. Due to the difficulty in manipulating these kind of functions, we propose an alternative ...
Λ scattering equations
(Springer Verlag, 2016-06-01)
Abstract: The CHY representation of scattering amplitudes is based on integrals over the moduli space of a punctured sphere. We replace the punctured sphere by a double-cover version. The resulting scattering equations ...
CHY loop integrands from holomorphic forms
(Springer Verlag, 2017-03-01)
Recently, the Cachazo-He-Yuan (CHY) approach for calculating scattering amplitudes has been extended beyond tree level. In this paper, we introduce a way of constructing CHY integrands for Φ3 theory up to two loops from ...
One-loop Parke-Taylor factors for quadratic propagators from massless scattering equations
(Springer Verlag, 2017-10-01)
In this paper we reconsider the Cachazo-He-Yuan construction (CHY) of the so called scattering amplitudes at one-loop, in order to obtain quadratic propagators. In theories with colour ordering the key ingredient is the ...
Non-planar one-loop Parke-Taylor factors in the CHY approach for quadratic propagators
(Springer Verlag, 2018-05-01)
In this work we have studied the Kleiss-Kuijf relations for the recently introduced Parke-Taylor factors at one-loop in the CHY approach, that reproduce quadratic Feynman propagators. By doing this, we were able to identify ...
Scattering equations and a new factorization for amplitudes. Part I. Gauge theories
(Springer Verlag, 2019-05-01)
In this work we show how a double-cover (DC) extension of the Cachazo, He and Yuan formalism (CHY) can be used to provide a new realization for the factorization of the amplitudes involving gluons and scalar fields. First, ...
Scattering equations and a new factorization for amplitudes. Part II. Effective field theories
(Springer Verlag, 2019-05-01)
We continue the program of extending the scattering equation framework by Cachazo, He and Yuan to a double-cover prescription. We discuss how to apply the double-cover formalism to effective field theories, with a special ...
CHY-graphs on a torus
(Springer Verlag, 2016-10-12)
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, ...