WebMay 9, 2016 · We examine the polynomial form of the scattering equations by means of computational algebraic geometry. The scattering equations are the backbone of the Cachazo-He-Yuan (CHY) representation of the S-matrix. We explain how the Bezoutian matrix facilitates the calculation of amplitudes in the CHY formalism, without explicitly … WebMar 26, 2016 · The CHY formalism is of course inv ariant under M¨ obius transformations, namely, if we apply the same SL (2 , C ) transformation, say, eq. ( 2.2 ), to all the solutions, we should still obtain ...
Correspondence between Solutions of Scattering Equations …
WebMay 13, 2024 · C. S. Lam Abstract M\"obius invariance is used to construct gluon tree amplitudes in the Cachazo, He, and Yuan (CHY) formalism. If it is equally effective in … WebOct 3, 2024 · In this paper we explore and expand the connection between two modern descriptions of scattering amplitudes, the CHY formalism and the framework of positive geometries, facilitated by the scattering equations. For theories in the CHY family whose S-matrix is captured by some positive geometry in the kinematic space, the corresponding … fnaf chocolate bunny
Off-shell Yang-Mills amplitude in the Cachazo-He-Yuan formalism
WebCHY formalism enables a new way of understanding them using a simple linear algebra argument. For this purpose, it is convenient to re-write the form (2.3) as a contraction of … WebThe Cachazo-He-Yuan (CHY) formalism describes interactions among sub-atomic particles and allows the computation of scattering amplitudes. It is equivalent to, … WebMay 13, 2016 · In this paper, we study the relation between the Cachazo-He-Yuan (CHY) formula and the maximal-helicity-violating (MHV) amplitudes of Yang-Mills and gravity in four dimensions. We prove that only one special rational solution of the scattering equations found by Weinzierl supports the MHV amplitudes. Namely, localized at this solution, the … greens similar to spinach