Einstein-Yang-Mills scattering amplitudes from scattering equations

Cachazo, Freddy; He, Song; Yuan, Ellis Ye

doi:10.1007/jhep01(2015)121

Cited by 216 publications

(362 citation statements)

References 40 publications

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“…As the main subject of this work, we propose a systematic method for the direct evaluation of the DDM form BCJ numerators for both YM and NLSM, derived from the CHY formalism [3][4][5][6][7]. Before that, we need to introduce the CHY representation for YM, gravity and EYM in the next section.…”

Section: Jhep04(2017)033mentioning

confidence: 99%

“…In this section, we discuss the CHY integrands for n-point tree level YM and gravity amplitudes, as well as the single trace EYM amplitudes [3][4][5][6][7]. We would like to demonstrate that we can express them in terms of each other, and these relations lead to a very natural way to write down the BCJ numerator for YM in the DDM form.…”

Section: Chy Integrands and Their Relationsmentioning

confidence: 99%

“…• We choose a reference order ρ ρ ρ for the graviton set H, 6 and then locate the position of ρ(1) in the graph, from which we draw a path towards the gluon roots. Suppose this path ends at α(i), we can represent it by…”

Section: Jhep04(2017)033mentioning

confidence: 99%

“…Once such numerators are found, a double copy of them directly gives the tree level Einstein gravity amplitudes [2]. More recently, Cachazo, He and Yuan (CHY) proposed a new formalism for tree level amplitudes of a variety of theories [3][4][5][6][7]. As a general feature of the CHY formalism, the kinematic and polarization information of a given theory are usually packed into a reduced Pfaffian, while the color or flavor ordering is captured by a Parke-Taylor factor (see section 3 for details).…”

Section: Introductionmentioning

confidence: 99%

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BCJ numerators from reduced Pfaffian

Teng

2017

J. High Energ. Phys.

103

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By expanding the reduced Pfaffian in the tree level Cachazo-He-Yuan (CHY) integrands for Yang-Mills (YM) and nonlinear sigma model (NLSM), we can get the BernCarrasco-Johansson (BCJ) numerators in Del Duca-Dixon-Maltoni (DDM) form for arbitrary number of particles in any spacetime dimensions. In this work, we give a set of very straightforward graphic rules based on spanning trees for a direct evaluation of the BCJ numerators for YM and NLSM. Such rules can be derived from the Laplace expansion of the corresponding reduced Pfaffian. For YM, the each one of the (n − 2)! DDM form BCJ numerators contains exactly (n − 1)! terms, corresponding to the increasing trees with respect to the color order. For NLSM, the number of nonzero numerators is at most (n − 2)! − (n − 3)!, less than those of several previous constructions.

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Section: Jhep04(2017)033mentioning

confidence: 99%

Section: Chy Integrands and Their Relationsmentioning

confidence: 99%

Section: Jhep04(2017)033mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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BCJ numerators from reduced Pfaffian

Teng

2017

J. High Energ. Phys.

103

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“…Recently, CHY discovered new formulae for a large collection of theories. These include the original Einstein (E), Yang-Mills (YM) and biadjoint scalar (BS), together with new formulae for Einstein Maxwell (EM), Einstein Yang-Mills (EYM), (Dirac)-Born-Infeld ((D)BI), Galileons (G), Yang-Mills Scalar (YMS) and nonlinear sigma model (NLSM) [21,22], see figure 1 below for their diagram 1 of new amplitude formulae and relationships between them. They raised the challenge to find the underlying ambitwistor string theories that give rise to these formulae.…”

Section: Introductionmentioning

confidence: 99%

New ambitwistor string theories

Casali

Geyer

Mason

et al. 2015

J. High Energ. Phys.

130

178

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We describe new ambitwistor string theories that give rise to the recent amplitude formulae for Einstein-Yang-Mills, (Dirac)-Born-Infeld, Galileons and others introduced by Cachazo, He and Yuan. In the case of the Einstein-Yang-Mills amplitudes, an important role is played by a novel worldsheet conformal field theory that provides the appropriate colour factors precisely without the spurious multitrace terms of earlier models that had to be ignored by hand. This is needed to obtain the correct multitrace terms that arise when Yang-Mills is coupled to gravity.

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Aspects of Scattering Amplitudes and Moduli Space Localization

Mizera¹

2020

Springer Theses

174

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Einstein-Yang-Mills scattering amplitudes from scattering equations

Cited by 216 publications

References 40 publications

BCJ numerators from reduced Pfaffian

BCJ numerators from reduced Pfaffian

New ambitwistor string theories

Aspects of Scattering Amplitudes and Moduli Space Localization

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