Transmuting off-shell CHY integrals in the double-cover framework
arXiv:2006.12188 · doi:10.1140/epjc/s10052-020-08624-1
Abstract
In this paper, by defining off-shell amplitudes as off-shell CHY integrals, and redefining the longitudinal operator, we demonstrate that the differential operators which link on-shell amplitudes for a variety of theories together, also link off-shell amplitudes in the similar manner. Based on the algebraic property of the differential operator, we also generalize three relations among color-ordered on-shell amplitudes, including the color-ordered reversed relation, the photon decoupling relation, the Kleiss-Kuijf relation, to off-shell ones. The off-shell CHY integrals are chosen to be in the double-cover framework, thus, as a by product, our result also provides a verification for the double-cover construction.
arXiv comment29 pages
References in corpus (29)
- Scattering of Massless Particles in Arbitrary Dimension
- Scattering of Massless Particles: Scalars, Gluons and Gravitons
- New Color Decompositions for Gauge Amplitudes at Tree and Loop Level
- Scattering Equations and Matrices: From Einstein To Yang-Mills, DBI and NLSM
- Scattering Equations and KLT Orthogonality
- Einstein-Yang-Mills Scattering Amplitudes From Scattering Equations
- Unifying Relations for Scattering Amplitudes
- Explicit Formulae for Yang-Mills-Einstein Amplitudes from the Double Copy
- New Relations for Einstein-Yang-Mills Amplitudes
- BCJ numerators from reduced Pfaffian
- Expansion of Einstein-Yang-Mills Amplitude
- Einstein-Yang-Mills from pure Yang-Mills amplitudes
- Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame
- Amplitude relations in heterotic string theory and Einstein-Yang-Mills
- Expansion of All Multitrace Tree Level EYM Amplitudes
- CHY representations for gauge theory and gravity amplitudes with up to three massive particles
- Elliptic scattering equations
- Relations for Einstein-Yang-Mills amplitudes from the CHY representation
- Scattering Equations
- Note on differential operators, CHY integrands, and unifying relations for amplitudes
- Scalar-Graviton Amplitudes
- Expansion of Einstein-Yang-Mills theory by Differential Operators
- Transmuting CHY formulae
- Unified web for expansions of amplitudes
- Scattering Equations and a new Factorization for Amplitudes I: Gauge Theories
- New Factorization Relations for Non-Linear Sigma Model Amplitudes
- New Factorization Relations for Yang Mills Amplitudes
- Scattering Equations and Factorization of Amplitudes II: Effective Field Theories
- Off-Shell Yang-Mills Amplitude in the CHY Formalism