One-loop Parke-Taylor factors for quadratic propagators from massless scattering equations

Humberto Gomez; Cristhiam Lopez-Arcos; Pedro Talavera

doi:10.1007/jhep10(2017)175

One-loop Parke-Taylor factors for quadratic propagators from massless scattering equations

Humberto Gomez, Cristhiam Lopez-Arcos^*, Pedro Talavera

^*Corresponding author for this work

Niels Bohr Institute

11 Citations (Scopus)

Abstract

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 redefinition of the Parke-Taylor factors. After classifying all the possible one-loop CHY-integrands we conjecture a new one-loop amplitude for the massless Bi-adjoint Φ³ theory. The prescription directly reproduces the quadratic propagators of the traditional Feynman approach.

Original language	English
Article number	175
Journal	Journal of High Energy Physics
Volume	2017
Issue number	10
ISSN	1126-6708
DOIs	https://doi.org/10.1007/jhep10(2017)175
Publication status	Published - 2017

Keywords

Differential and Algebraic Geometry
Scattering Amplitudes
Superstrings and Heterotic Strings

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10.1007/jhep10(2017)175Licence: CC BY

Gomez2017_Article_One-loopParke-TaylorFactorsForFinal published version, 1.46 MBLicence: CC BY

Cite this

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title = "One-loop Parke-Taylor factors for quadratic propagators from massless scattering equations",

abstract = "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 redefinition of the Parke-Taylor factors. After classifying all the possible one-loop CHY-integrands we conjecture a new one-loop amplitude for the massless Bi-adjoint Φ3 theory. The prescription directly reproduces the quadratic propagators of the traditional Feynman approach.",

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T1 - One-loop Parke-Taylor factors for quadratic propagators from massless scattering equations

AU - Gomez, Humberto

AU - Lopez-Arcos, Cristhiam

AU - Talavera, Pedro

PY - 2017

Y1 - 2017

N2 - 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 redefinition of the Parke-Taylor factors. After classifying all the possible one-loop CHY-integrands we conjecture a new one-loop amplitude for the massless Bi-adjoint Φ3 theory. The prescription directly reproduces the quadratic propagators of the traditional Feynman approach.

AB - 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 redefinition of the Parke-Taylor factors. After classifying all the possible one-loop CHY-integrands we conjecture a new one-loop amplitude for the massless Bi-adjoint Φ3 theory. The prescription directly reproduces the quadratic propagators of the traditional Feynman approach.

KW - Differential and Algebraic Geometry

KW - Scattering Amplitudes

KW - Superstrings and Heterotic Strings

U2 - 10.1007/jhep10(2017)175

DO - 10.1007/jhep10(2017)175

M3 - Journal article

AN - SCOPUS:85034450488

SN - 1126-6708

VL - 2017

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

IS - 10

M1 - 175

ER -

One-loop Parke-Taylor factors for quadratic propagators from massless scattering equations

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Keywords

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