Proof of the formula of Cachazo, He and Yuan for Yang-Mills tree amplitudes in arbitrary dimension

By L. Dolan, P. Goddard. 2013

156 citations recorded by the source corpus.

A bstractA proof is given of the formula, recently proposed by Cachazo, He and Yuan (CHY) for gluon tree amplitudes in pure Yang-Mills theory in arbitrary dimension. The approach is to first establish the corresponding result for massless ϕ3 theory using the BCFW recurrence relation and then to extend this to the gauge theory case. Additionally, it is shown that the scattering equations introduced by CHY can be generalized to massive particles, enabling the description of tree amplitudes for massive ϕ3 theory.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/22c3adfd01ab84fb3ec1aa18543e8111c9bcfaf8

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In Atomic and Molecular Physics, and Optics

1. Song He
2. F. Cachazo
3. E. Y. Yuan
4. L. Mason
5. R. Monteiro
6. Yvonne Geyer
7. Piotr Tourkine
8. Peter Cha

In Nuclear and High Energy Physics

1. L. Mason
2. Song He
3. F. Cachazo
4. E. Y. Yuan
5. R. Monteiro
6. C. Cheung
7. Sebastian Mizera
8. Peter Cha

Citations in the corpus

• Extensions of theories from soft limits (2016, methodology): “3.1 Single Soft Limits using KLT Relations 12 3.2 Examples 14”
• One-loop amplitudes on the Riemann sphere (2015, methodology): “J H E P 0 3 ( 2 0 1 6 ) 1 1 4 tree level in [26]).”
• Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM (2014, methodology): “These were followed by φ3 theory [18], amplitudes with two massive scalars together with gluons or gravitons [19] and more recently all single-trace mixed amplitudes and double-trace all-gluon amplitudes in Einstein-Yang-Mills (as well as analogous amplitudes in Yang-Mills-Scalar theories) [20].”