Understanding the cancelation of double poles in the Pfaffian of CHY-formulism

DOI10.1007/JHEP06(2017)133zbMath1380.81215arXiv1702.05840MaRDI QIDQ683257

Rijun Huang, Bo Feng, Yi-Jian Du

Publication date: 5 February 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.05840

zbMATH Keywords

gravityscattering amplitudesgauge symmetryYang-Mills theoryCachazo-He-Yuan (CHY) formulation

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) (2)-body potential quantum scattering theory (81U05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (14)

One-loop CHY-integrand of bi-adjoint scalar theory ⋮ One-loop diagrams with quadratic propagators from the worldsheet ⋮ Expansion of Einstein-Yang-Mills amplitude ⋮ One-loop Parke-Taylor factors for quadratic propagators from massless scattering equations ⋮ Kinematic numerators from the worldsheet: cubic trees from labelled trees ⋮ BCJ numerators from reduced Pfaffian ⋮ Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame ⋮ Derivation of Feynman rules for higher order poles using cross-ratio identities in CHY construction ⋮ Properties of scattering forms and their relation to associahedra ⋮ Permutation in the CHY formulation ⋮ A vertex operator algebra construction of the colour-kinematics dual numerator ⋮ A graphic approach to gauge invariance induced identity ⋮ A graphic approach to identities induced from multi-trace Einstein-Yang-Mills amplitudes ⋮ Off-shell extended graphic rule and the expansion of Berends-Giele currents in Yang-Mills theory

Cites Work

• The polynomial form of the scattering equations
• Scattering of massless particles: scalars, gluons and gravitons
• Color structures and permutations
• Analytic representations of Yang-Mills amplitudes
• A combinatoric shortcut to evaluate CHY-forms
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• Cross-ratio identities and higher-order poles of CHY-integrand
• General solution of the scattering equations
• Comments on the evaluation of massless scattering
• Computation of contour integrals on \( \mathcal{M}_{0,n} \)
• CHY formula and MHV amplitudes
• Elliptic scattering equations
• \(\Lambda\) scattering equations
• Extensions of theories from soft limits
• Scattering equations, twistor-string formulas and double-soft limits in four dimensions
• Berends-Giele recursion for double-color-ordered amplitudes
• Polynomial reduction and evaluation of tree- and loop-level CHY amplitudes
• A differential operator for integrating one-loop scattering equations
• New formulas for amplitudes from higher-dimensional operators
• Connected formulas for amplitudes in standard model
• CHY formulae in 4d
• Einstein-Yang-Mills scattering amplitudes from scattering equations
• Graphs, determinants and gravity amplitudes
• Elimination and recursions in the scattering equations
• Scattering equations, generating functions and all massless five point tree amplitudes
• Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM
• Scattering equations and Feynman diagrams
• Integration rules for loop scattering equations
• An algebraic approach to the scattering equations
• Massless scattering at special kinematics as Jacobi polynomials

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