WebCHY formalism Scattering equation CHY formula The special solution of SE and MHV amplitudes New identities MHV amplitudes for YM and GR MHV amplitudes for EYM Summary Back-up Correspondence between Solutions of Scattering Equations and Scattering Amplitudes in Four Dimensions Yi-Jian Dua Fei Tengb Yong-Shi Wuc;b WebDec 20, 2024 · Generalised bi-adjoint scalar amplitudes, obtained from integrations over moduli space of punctured $\\mathbb{CP}^{k-1}$, are novel extensions of the CHY formalism. These amplitudes have realisations in terms of Grassmannian cluster algebras. Recently connections between one-loop integrands for bi-adjoint cubic scalar theory and …
arXiv:1811.06478v1 [hep-th] 15 Nov 2024
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 … WebOct 3, 2024 · This connection between the CHY formalism and the framework of positive. geometries, mediated by the scattering equations, is depicted in figure 1. It is therefore natural to ask if the ... how many hearts are there in a 52 card deck
New Relations for Gauge-Theory and Gravity Amplitudes at …
WebCHY-integrands of bi-adjoint scalar theory. 2.1 Integrate rules In this subsection, we will review how to write down the analytic expression for the amplitudes given by A = Z dΩCHY I(z 1,··· ,zn) (2.1) in the CHY formalism. A generic CHY-integrand can be given by the sum of following terms I = 1 Q 1≤i WebA bstract Using the CHY-formalism and its extension to a double cover we provide covariant expressions for tree-level amplitudes with two massive scalar legs and an arbitrary number of gravitons ... WebAug 12, 2024 · M\"obius invariance is used to construct gluon tree amplitudes in the Cachazo, He, and Yuan (CHY) formalism. If it is equally effective in steering the construction of off-shell tree amplitudes, then the S-matrix CHY theory can be used to replace the Lagrangian Yang-Mills theory. Unfortunately that is not possible. We find that … how accurate are mouth swabs for drug testing