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2016

Feynman Rules of Higher-order Poles in CHY Construction

Huang, Rijun, Feng, Bo, Luo, Ming-xing et al.

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In this paper, we generalize the integration rules for scattering equations to situations where higher-order poles are present.

We describe the strategy to deduce the Feynman rules of higher-order poles from known analytic results of simple CHY-integrands, and propose the Feynman rules for single double pole and triple pole as well as duplex-double pole and triplex-double pole structures.
We demonstrate the validation and strength of these rules by ample non-trivial examples.

Feynman Rules of Higher-order Poles in CHY Construction · Around

Built on

F. Cachazo, S. He, and E. Y. Yuan, Scattering equations and Kawai-Lewellen-Tye orthogonality
Original
2014
Earlier work this paper cites.
F. Cachazo, S. He, and E. Y. Yuan, Scattering of Massless Particles in Arbitrary Dimensions
Original
2014
Earlier work this paper cites.
F. Cachazo, S. He, and E. Y. Yuan, Scattering of Massless Particles: Scalars, Gluons and Gravitons
Original
2014
Earlier work this paper cites.
L. Dolan and P. Goddard, The Polynomial Form of the Scattering Equations
Original
2014
Earlier work this paper cites.

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Then

R. Huang, J. Rao, B. Feng, and Y.-H. He, An Algebraic Approach to the Scattering Equations
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C. Cardona and C. Kalousios, Elimination and recursions in the scattering equations
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C. Cardona and C. Kalousios, Comments on the evaluation of massless scattering
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