Einstein-Yang-Mills Scattering Amplitudes From Scattering Equations

Abstract

We present the building blocks that can be combined to produce tree-level S-matrix elements of a variety of theories with various spins mixed in arbitrary dimensions. The new formulas for the scattering of $n$ massless particles are given by integrals over the positions of $n$ points on a sphere restricted to satisfy the scattering equations. As applications, we obtain all single-trace amplitudes in Einstein--Yang--Mills (EYM) theory, and generalizations to include scalars. Also in EYM but extended by a B-field and a dilaton, we present all double-trace gluon amplitudes. The building blocks are made of Pfaffians and Parke--Taylor-like factors of subsets of particle labels.

18 pages. References and a new section on double-trace gluon amplitudes added in v2

References in corpus (8)

• The Momentum Kernel of Gauge and Gravity Theories
• Ambitwistor strings in 4-dimensions
• Scattering equations and BCJ relations for gauge and gravitational amplitudes with massive scalar particles
• Multiparticle SYM equations of motion and pure spinor BRST blocks
• Graviton as a Pair of Collinear Gauge Bosons
• Twistor/ambitwistor strings and null-superstrings in spacetime of D=4,10 and 11 dimensions
• On tree amplitudes with gluons coupled to gravitons
• Relations Between Closed String Amplitudes at Higher-order Tree Level and Open String Amplitudes

Cited by in corpus (19)

• Einstein-Yang-Mills from pure Yang-Mills amplitudes
• 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
• Subleading Soft Theorem for Multiple Soft Gravitons
• New Formulas for Amplitudes from Higher-Dimensional Operators
• Labelled tree graphs, Feynman diagrams and disk integrals
• Scattering equations, generating functions and all massless five point tree amplitudes
• Collinear limits beyond the leading order from the scattering equations
• A String Theory Which Isn't About Strings
• A note on connected formula for form factors
• CHY-Graphs on a Torus
• One-loop Parke-Taylor factors for quadratic propagators from massless scattering equations
• Chiral Closed strings: Four massless states scattering amplitude
• Direct Evaluation of $n$-point single-trace MHV amplitudes in 4d Einstein-Yang-Mills theory using the CHY Formalism
• String-Like Dual Models for Scalar Theories
• A String Deformation of the Parke-Taylor Factor
• Note on recursion relations for the $\mathcal{Q}$-cut representation
• Characterizing the solutions to scattering equations that support tree-level ${\text{N}}^k\text{MHV}$ gauge/gravity amplitudes