Celestial Amplitudes: Conformal Partial Waves and Soft Limits

Abstract

Massless scattering amplitudes in four-dimensional Minkowski spacetime can be Mellin transformed to correlation functions on the celestial sphere at null infinity called celestial amplitudes. We study various properties of massless four-point scalar and gluon celestial amplitudes such as conformal partial wave decomposition, crossing relations and optical theorem. As a byproduct, we derive the analog of the single and double soft limits for all gluon celestial amplitudes.

13 pages, 1 figure

References in corpus (14)

• Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited
• Conformal Partial Waves and the Operator Product Expansion
• Analyticity in Spin in Conformal Theories
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• More on Supersymmetric and 2d Analogs of the SYK Model
• A spacetime derivation of the Lorentzian OPE inversion formula
• Conformally Soft Photons and Gravitons
• Symmetries of Celestial Amplitudes
• Tree-level gluon amplitudes on the celestial sphere
• Strings on Celestial Sphere
• Conformal Blocks for Arbitrary Spins in Two Dimensions
• Crossing Symmetry in Alpha Space
• Conformal Structure of Massless Scalar Amplitudes Beyond Tree level
• S-matrix singularities and CFT correlation functions

Cited by in corpus (66)

• Lectures on Celestial Amplitudes
• Holographic Symmetry Algebras for Gauge Theory and Gravity
• Bootstrapping Inflationary Correlators in Mellin Space
• Bridging Carrollian and Celestial Holography
• Asymptotic Symmetries and Celestial CFT
• The Holographic Nature of Null Infinity
• Celestial Amplitudes from UV to IR
• Celestial Operator Product Expansions and ${\mathrm{w}}_{1+\infty }$ Symmetry for All Spins
• Conformally Soft Theorem In Gravity
• Extended BMS Algebra of Celestial CFT
• BMS Symmetry of Celestial OPE
• MHV Graviton Scattering Amplitudes and Current Algebra on the Celestial Sphere
• Extended Super BMS Algebra of Celestial CFT
• Celestial Diamonds: Conformal Multiplets in Celestial CFT
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Conformal Block Expansion in Celestial CFT
• Shifting Spin on the Celestial Sphere
• BMS Flux Algebra in Celestial Holography
• Revisiting the Conformally Soft Sector with Celestial Diamonds
• MHV Gluon Scattering Amplitudes from Celestial Current Algebras
• Conformal Blocks from Celestial Gluon Amplitudes
• Celestial operator products from the worldsheet
• Loops on the Celestial Sphere
• Holographic Chiral Algebra: Supersymmetry, Infinite Ward Identities, and EFTs
• Modified celestial amplitude in Einstein gravity
• Goldilocks Modes and the Three Scattering Bases
• Celestial holography on Kerr-Schild backgrounds
• Celestial double copy from the worldsheet
• UV considerations on scattering amplitudes in a web of theories
• On loop celestial amplitudes for gauge theory and gravity
• Non-abelian infrared divergences on the celestial sphere
• Relativistic partial waves for celestial amplitudes
• Celestial Dual Superconformal Symmetry, MHV Amplitudes and Differential Equations
• Descendants in celestial CFT and emergent multi-collinear factorization
• Conformal Blocks from Celestial Gluon Amplitudes II: Single-valued Correlators
• From Celestial Correlators to AdS, and back
• Subsubleading soft graviton symmetry and MHV graviton scattering amplitudes
• On Sugawara construction on Celestial Sphere
• Celestial superamplitude in $\mathcal{N}=4$ SYM theory
• Four-point correlators of light-ray operators in CCFT
• Massive Spinning Bosons on the Celestial Sphere
• Bulk locality from the celestial amplitude
• The structure of IR divergences in celestial gluon amplitudes
• Conformally Soft Fermions
• Celestial Superamplitudes
• (Chiral) Virasoro invariance of the tree-level MHV graviton scattering amplitudes
• Towards higher-spin holography in flat space
• Shadow Celestial Amplitude
• Notes on Resonances and Unitarity from Celestial Amplitudes
• Celestial Recursion
• Celestial amplitudes in an ambidextrous basis
• Symmetries in Celestial CFT${}_d$
• Correlators of Four Light-Ray Operators in CCFT
• Celestial Geometry
• Poincaré Constraints on Celestial Amplitudes
• Celestial insights into the S-matrix bootstrap
• Integrable Field Theories and Their CCFT Duals
• The Grassmannian for Celestial Superamplitudes
• Zwanziger's pairwise little group on the celestial sphere
• Celestial IR divergences and the effective action of supertranslation modes
• Currents in Celestial CFT
• The Sky Remembers everything: Celestial amplitude, Shadow and OPE in quadratic EFT of gravity
• Correlation functions at the bulk point singularity from the gravitational eikonal S-matrix
• Celestial Eikonal Amplitudes in the Near-Horizon Region
• A Note on the Analytic Structure of Celestial Amplitudes
• Celestial Regge theory