CHY-graphs on a torus

DOI10.1007/JHEP10(2016)116zbMath1390.81377arXiv1607.01871MaRDI QIDQ1636357

Humberto Gomez, Carlos A. Cardona

Publication date: 12 June 2018

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

Full work available at URL: https://arxiv.org/abs/1607.01871

zbMATH Keywords

scattering amplitudesfield theories in higher dimensionsdifferential and algebraic geometry

Mathematics Subject Classification ID

Feynman diagrams (81T18) Elliptic curves (14H52) Relationships between algebraic curves and physics (14H81)

Related Items (14)

New BCJ representations for one-loop amplitudes in gauge theories and gravity ⋮ Two-loop scattering amplitudes from ambitwistor strings: from genus two to the nodal Riemann sphere ⋮ Einstein-Yang-Mills from pure Yang-Mills amplitudes ⋮ Non-planar one-loop Parke-Taylor factors in the CHY approach for quadratic propagators ⋮ One-loop CHY-integrand of bi-adjoint scalar theory ⋮ One-loop diagrams with quadratic propagators from the worldsheet ⋮ CHY loop integrands from holomorphic forms ⋮ Massive ambitwistor-strings; twistorial models ⋮ One-loop Parke-Taylor factors for quadratic propagators from massless scattering equations ⋮ Gluons and gravitons at one loop from ambitwistor strings ⋮ One-loop correlators and BCJ numerators from forward limits ⋮ Scattering equations and a new factorization for amplitudes. I: Gauge theories ⋮ Scattering equations and a new factorization for amplitudes. II: Effective field theories ⋮ One-loop matrix elements of effective superstring interactions: \(\alpha^\prime\)-expanding loop integrands

Cites Work

• Infinite tension limit of the pure spinor superstring
• Proof of the formula of Cachazo, He and Yuan for Yang-Mills tree amplitudes in arbitrary dimension
• The polynomial form of the scattering equations
• Scattering of massless particles: scalars, gluons and gravitons
• Multivariate residues and maximal unitarity
• Perturbative gauge theory as a string theory in twistor space
• Cross-ratio identities and higher-order poles of CHY-integrand
• General solution of the scattering equations
• Comments on the evaluation of massless scattering
• One-loop amplitudes on the Riemann sphere
• Computation of contour integrals on \( \mathcal{M}_{0,n} \)
• CHY-construction of planar loop integrands of cubic scalar theory
• 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
• One-loop corrections from higher dimensional tree amplitudes
• Polynomial reduction and evaluation of tree- and loop-level CHY amplitudes
• Einstein-Yang-Mills scattering amplitudes from 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
• Massless scattering at special kinematics as Jacobi polynomials
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