124 citations · 922 across the 28 of their papers we have counts for
29 papers
New recursions for tree-level correlators in (Anti) de Sitter space
Connor Armstrong, Humberto Gomez, Renann Lipinski Jusinskas +2
We present for the first time classical multiparticle solutions in Anti de Sitter space (AdS) involving scalars, gluons, and gravitons. They are recursively defined through multipa…
One-loop off-shell amplitudes from classical equations of motion
Humberto Gomez, Renann Lipinski Jusinskas, Cristhiam Lopez-Arcos +1
In this letter we present a recursive method for computing one-loop off-shell amplitudes in colored quantum field theories. First, we generalize the perturbiner method by recasting…
Effective Field Theories and Cosmological Scattering Equations
Connor Armstrong, Humberto Gomez, Renann Lipinski Jusinskas +2
We propose worldsheet formulae for wavefunction coefficients of the massive non-linear sigma model (NLSM), scalar Dirac-Born-Infeld (DBI), and special Galileon (sGal) theories in d…
Cosmological Scattering Equations at Tree-level and One-loop
Humberto Gomez, Renann Lipinski Jusinskas, Arthur Lipstein
We recently proposed a formula for tree-level -point correlators of massive theory in de Sitter momentum space which consists of an integral over punctures on the Riem…
Multiparticle solutions to Einstein's equations
Humberto Gomez, Renann Lipinski Jusinskas
In this letter we present the first multiparticle solutions to Einstein's field equations in the presence of matter. These solutions are iteratively obtained via the perturbiner me…
Cosmological Scattering Equations
Humberto Gomez, Renann Lipinski Jusinskas, Arthur Lipstein
We propose a worldsheet formula for tree-level correlation functions describing a scalar field with arbitrary mass and quartic self-interaction in de Sitter space, which is a simpl…
The structure of gauge theories with matter
Humberto Gomez, Renann Lipinski Jusinskas, Cristhiam Lopez-Arcos +1
In this work we present an algebraic approach to the dynamics and perturbation theory at tree-level for gauge theories coupled to matter. The field theories we will consider are: C…
One-Loop Yang-Mills Integrands from Scattering Equations
Johannes Agerskov, N. E. J. Bjerrum-Bohr, Humberto Gomez +1
We investigate in the context of the scattering equations, how one-loop linear propagator integrands in gauge theories can be linked to integrands with quadratic propagators using…
Scalar-Graviton Amplitudes
N. E. J. Bjerrum-Bohr, Andrea Cristofoli, Poul H. Damgaard +1
Using the CHY-formalism and its extension to a double cover we provide covariant expressions for tree-level amplitudes with two massive scalar legs and an arbitrary number of gravi…
Scattering Equations and Factorization of Amplitudes II: Effective Field Theories
Humberto Gomez, Andreas Helset
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…
New Factorization Relations for Non-Linear Sigma Model Amplitudes
N. E. J. Bjerrum-Bohr, Humberto Gomez, Andreas Helset
We obtain novel factorization identities for non-linear sigma model amplitudes using a new integrand in the CHY double-cover prescription. We find that it is possible write very co…
Scattering Equations and a new Factorization for Amplitudes I: Gauge Theories
Humberto Gomez
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…
New Factorization Relations for Yang Mills Amplitudes
N. E. J. Bjerrum-Bohr, Poul H. Damgaard, Humberto Gomez
A double-cover extension of the scattering equation formalism of Cachazo, He and Yuan (CHY) leads us to conjecture covariant factorization formulas of n-particle scattering amplitu…
Non-planar one-loop Parke-Taylor factors in the CHY approach for quadratic propagators
Naser Ahmadiniaz, Humberto Gomez, Cristhiam Lopez-Arcos
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 propagato…
An Introduction to Pure Spinor Superstring Theory
Nathan Berkovits, Humberto Gomez
In these lecture notes presented at the 2015 Villa de Leyva Summer School, we give an introduction to superstring theory. We begin by studying the particle and superparticle in ord…
One-loop Parke-Taylor factors for quadratic propagators from massless scattering equations
Humberto Gomez, Cristhiam Lopez-Arcos, Pedro Talavera
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 co…
Quadratic Feynman Loop Integrands From Massless Scattering Equations
Humberto Gomez
Recently the Cachazo-He-Yuan (CHY) approach has been extended to loop level, but the resulting loop integrand has propagators that are linear in the loop momentum unlike Feynman's.…
CHY Loop Integrands from Holomorphic Forms
Humberto Gomez, Sebastian Mizera, Guojun Zhang
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 integr…
CHY-Graphs on a Torus
Carlos Cardona, Humberto Gomez
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…
Cross-ratio Identities and Higher-order Poles of CHY-integrand
Carlos Cardona, Bo Feng, Humberto Gomez +1
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…
Elliptic scattering equations
Carlos Cardona, Humberto Gomez
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 o…
Scattering Equations
Humberto Gomez
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 re…
Computation of Contour Integrals on
Freddy Cachazo, Humberto Gomez
Contour integrals of rational functions over , the moduli space of -punctured spheres, have recently appeared at the core of the tree-level S-matrix of massless…
The two-loop superstring five-point amplitude and S-duality
Humberto Gomez, Carlos R. Mafra, Oliver Schlotterer
The low-energy limit of the massless two-loop five-point amplitudes for both type IIA and type IIB superstrings is computed with the pure spinor formalism and its overall coefficie…