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Cross-ratio identities and higher-order poles of CHY-integrand 

Cardona, Carlos A.; Feng, Bo; Gomez, Humberto; Huang, Rijun (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 ...
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Computation of contour integrals on ℳ0,n 

Cachazo, Freddy; Gomez, Humberto (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 ...
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Elliptic scattering equations 

Cardona, Carlos A.; Gomez, Humberto (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 ...
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Λ scattering equations 

Gomez, Humberto (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 ...
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CHY loop integrands from holomorphic forms 

Gomez, Humberto; Mizer, Sebastian; Zhang, Guojun (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 ...
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One-loop Parke-Taylor factors for quadratic propagators from massless scattering equations 

Gomez, Humberto; Lopez-Arcos, Cristhiam; Talavera, Pedro (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 ...
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Non-planar one-loop Parke-Taylor factors in the CHY approach for quadratic propagators 

Ahmadiniaz, Naser; Gomez, Humberto; Lopez-Arcos, Cristhiam (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 ...
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Scattering equations and a new factorization for amplitudes. Part I. Gauge theories 

Gomez, Humberto (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, ...
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Scattering equations and a new factorization for amplitudes. Part II. Effective field theories 

Gomez, Humberto; Helset, Andreas (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 ...
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CHY-graphs on a torus 

Cardona, Carlos A.; Gómez, Humberto (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, ...

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AuthorGomez, Humberto (9)Cardona, Carlos A. (3)Lopez-Arcos, Cristhiam (2)Ahmadiniaz, Naser (1)Cachazo, Freddy (1)Feng, Bo (1)Gómez, Humberto (1)Helset, Andreas (1)Huang, Rijun (1)Mizer, Sebastian (1)... View MoreSubjectDifferential and Algebraic Geometry (10)
Scattering Amplitudes (10)
Superstrings and Heterotic Strings (5)Field Theories in Higher Dimensions (4)Sigma Models (1)Topological Strings (1)... View MoreDate Issued2016 (5)2017 (2)2019 (2)2018 (1)Has File(s)
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