Gauge and Gravity Amplitudes on the Celestial Sphere

Abstract

The analytic structures of scattering amplitudes in gauge theory and gravity are examined on the celestial sphere. The celestial amplitudes in the two theories - computed by employing a regulated Mellin transform - can be compared at low multiplicity. It is established by direct computation that up to five external particles, the double copy relations of Kawai, Lewellen and Tye continue to hold identically, modulo certain multiplicative factors which are explicitly determined. Supersymmetric representations of the amplitudes are utilized throughout, manifesting the double copy structure between $\mathcal{N}=4$ super Yang-Mills and $\mathcal{N}=8$ supergravity on the celestial sphere.

v4: 20 pages, references added

References in corpus (10)

• The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
• Asymptotic symmetries and subleading soft graviton theorem
• Gluon Amplitudes as 2d Conformal Correlators
• Scattering on plane waves and the double copy
• Combinatorics and Topology of Kawai-Lewellen-Tye Relations
• Sub-subleading soft gravitons and large diffeomorphisms
• Decomposition of Feynman Integrals on the Maximal Cut by Intersection Numbers
• Soft Gravity by Squaring Soft QED on the Celestial Sphere
• Positive Geometries for all Scalar Theories from Twisted Intersection Theory
• On Polytopes and Generalizations of the KLT Relations

Cited by in corpus (5)

• Lectures on Celestial Holography
• Soft Gravity by Squaring Soft QED on the Celestial Sphere
• Infrared and Holographic Aspects of the $S$-Matrix in Gauge Theory and Gravity
• BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space
• Holographic Representations of Supertranslation Eigenstates