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CHY Formulae for Amplitudes from Higher-Dimensional Operators |
2017-06-07
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Institute of Theoretical Physics | Chinese Academy of Sciences | Key Laboratory of Theoretical Physics | Seminar | Title 题目 | CHY Formulae for Amplitudes from Higher-Dimensional Operators | Speaker 报告人 | Yong Zhang(张勇) | Affiliation 所在单位 | Beijing Normal University | Date 日期 | 3:30pm, Wednesday, June 7, 2017 | Venue 地点 | Conference Hall 322, ITP | Abstract 摘要 | We study tree-level amplitudes from higher-dimensional operators, including F^3 operator of gauge theory, and R^2 , R^3 operators of gravity, in the Cachazo-He-Yuan formulation. As a generalization of the reduced Pfaffian in Yang-Mills theory, we find a new, gauge-invariant object that leads to gluon amplitudes with a single insertion of F^3 , and gravity amplitudes by Kawai-Lewellen-Tye relations. When reduced to four dimensions for given helicities, the new object vanishes for any solution of scattering equations on which the reduced Pfaffian is non-vanishing. This intriguing behavior in four dimensions explains the vanishing of graviton helicity amplitudes produced by the Gauss-Bonnet R^2 term, and provides a scattering-equation origin of the decomposition into self-dual and anti-self-dual parts for F^3 and R^3 amplitudes. | Contact person 所内联系人 | Song He |
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