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Celestial Amplitudes: Conformal Partial Waves and Soft Limits
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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.
Forward citations
Cited by 9 Pith papers
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Conformal Partial Wave Expansion of Celestial Correlators
Celestial correlators in Minkowski space admit conformal partial wave expansions with meromorphic spectral densities, enabling conformal block expansions that simplify dramatically for massless scalars.
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Twistorial chiral algebras in higher dimensions
Hyperkähler gravity and hyperholomorphic gauge theory in 4m dimensions have chiral algebras Lham(C^{2m}) and Lg[C^{2m}] arising from twistor space and realized as soft symmetry algebras under a 2-sphere collinear limit.
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Conformal blocks from celestial graviton amplitudes
The authors construct a single-valued celestial four-graviton correlator from the shadow transform, decompose it into conformal blocks in all channels, and show it is the double copy of the corresponding gluon object.
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Celestial Regge theory
Celestial pair correlators in the Regge limit are shown to encode bulk Regge-pole residues, giving a dictionary between celestial CFT OPE data and bulk partial amplitudes (eq. 5.6).
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Holographic symmetry algebra for the MHV sector revisited
In the MHV sector, the celestial symmetry algebra is a semidirect product of w_{1+∞} (or S) with an infinite Abelian algebra, whose null states supply the two missing KZ equations.
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Shadow Celestial Operator Product Expansions
Shadowing a celestial primary multiplies its OPE coefficients by a fixed ratio of Gamma functions, universal across theories and applicable to three-point functions with mixed ordinary and shadow operators.
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Multiparticle States for the Flat Hologram
The paper defines and constructs composite or multiparticle primary operators for Carrollian and celestial CFTs using OPE blocks and momentum-space partial waves, extending the flat-space dictionary beyond single-part...
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UV considerations on scattering amplitudes in a web of theories
Tree-level amplitudes in a web of effective field theories are uniquely fixed by locality plus novel single-hard UV scaling constraints, with unitarity emerging in many cases.
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The Sky Remembers everything: Celestial amplitude, Shadow and OPE in quadratic EFT of gravity
In quadratic gravity, celestial eikonal amplitudes are claimed to be meromorphic rather than distributional, with OPE data extracted from a shadowed correlator.
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