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Celestial amplitudes provide holographic imprints of four-dimensional scattering processes in terms of conformal correlation functions on a two-dimensional sphere describing Minkowski space at null infinity. We construct the generators of…

High Energy Physics - Theory · Physics 2019-05-22 Stephan Stieberger , Tomasz R. Taylor

In this paper, we investigate how AdS scalar propagators are represented in the celestial basis. Starting from the standard bulk-to-boundary propagator in Euclidean AdS space, we express the propagator in a Schwinger parametrization and…

High Energy Physics - Theory · Physics 2026-05-15 Pongwit Srisangyingcharoen

Scattering amplitudes in $d+2$ dimensions can be expressed in terms of a conformal basis, for which the S-matrix behaves as a CFT correlation function on the celestial $d$-sphere. We explain how compact expressions for the full tree-level…

High Energy Physics - Theory · Physics 2020-01-08 Tim Adamo , Lionel Mason , Atul Sharma

Celestial amplitudes are flat-space amplitudes which are Mellin-transformed to correlators living on the celestial sphere. In this note we present a recursion relation, based on a tree-level BCFW recursion, for gravitational celestial…

High Energy Physics - Theory · Physics 2019-06-20 Alfredo Guevara

We study the factorization of soft and collinear singularities in dimensionally-regularized fixed-angle scattering amplitudes in massless gauge theories. Our factorization is based on replacing the hard massless partons by light-like Wilson…

High Energy Physics - Phenomenology · Physics 2009-03-19 Einan Gardi , Lorenzo Magnea

We continue the study of model-independent constraints on the unitary Conformal Field Theories in 4-Dimensions, initiated in arXiv:0807.0004. Our main result is an improved upper bound on the dimension \Delta of the leading scalar operator…

High Energy Physics - Theory · Physics 2015-03-13 Vyacheslav S. Rychkov , Alessandro Vichi

We examine the structure of global conformal multiplets in 2D celestial CFT. For a 4D bulk theory containing massless particles of spin $s=\{0,\frac{1}{2},1,\frac{3}{2},2\}$ we classify and construct all SL(2,$\mathbb{C}$) primary…

High Energy Physics - Theory · Physics 2021-11-24 Sabrina Pasterski , Andrea Puhm , Emilio Trevisani

Conventional massless celestial amplitudes are distributional and fail to realize the celestial OPE -- most sharply in the non-MHV paradox, where OPEs predict nonzero celestial amplitudes with helicities $-{+}{+}+$ that are known to vanish…

High Energy Physics - Theory · Physics 2025-12-16 Reiko Liu , Wen-Jie Ma

Properties of galaxies like their absolute magnitude and their stellar mass content are correlated. These correlations are tighter for close pairs of galaxies, which is called galactic conformity. In hierarchical structure formation…

Astrophysics of Galaxies · Physics 2018-07-25 Martin Kerscher

In an effort to further the study of amplitudes in the celestial CFT (CCFT), we construct conformal primary wavefunctions for massive fermions. Upon explicitly calculating the wavefunctions for Dirac fermions, we deduce the corresponding…

High Energy Physics - Theory · Physics 2020-12-30 Sruthi A. Narayanan

We estimated 34 sets of Galactic model parameters for three intermediate latitude fields with Galactic longitudes l=60, l=90, and l=180, and we discussed their dependence on the volume. Also, we confirmed the variation of these parameters…

Astrophysics · Physics 2009-11-13 S. Karaali , S. Bilir , E. Yaz , E. Hamzaoglu , R. Buser

Celestial amplitudes obtained from Mellin transforming 4d momentum space scattering amplitudes contain distributional delta functions, hindering the application of conventional CFT techniques. In this paper, we propose to bypass this…

High Energy Physics - Theory · Physics 2023-06-22 Wei Bu , Sean Seet

We prove a precise form of AdS bulk locality by deriving analytical two-sided bounds on bulk Wilson coefficients. Our bounds are on the Wilson coefficients themselves, rather than their ratios, as is typically found in the literature.…

High Energy Physics - Theory · Physics 2023-08-22 Faizan Bhat , Ahmadullah Zahed

In celestial conformal field theory, gluons are represented by primary fields with dimensions $\Delta=1+i\lambda$, $\lambda\in\mathbb{R}$ and spin $J=\pm 1$, in the adjoint representation of the gauge group. All two- and three-point…

High Energy Physics - Theory · Physics 2023-01-11 Wei Fan , Angelos Fotopoulos , Stephan Stieberger , Tomasz R. Taylor , Bin Zhu

We investigate the celestial description of an eikonal amplitude for the scattering of massless scalars mediated by soft gravitons in the near-horizon region of a large eternal Schwarzschild black hole. Our construction thus provides a…

High Energy Physics - Theory · Physics 2025-04-17 Karan Fernandes , Feng-Li Lin , Arpita Mitra

The four-dimensional $S$-matrix is reconsidered as a correlator on the celestial sphere at null infinity. Asymptotic particle states can be characterized by the point at which they enter or exit the celestial sphere as well as their…

High Energy Physics - Theory · Physics 2019-02-20 Laura Donnay , Andrea Puhm , Andrew Strominger

Celestial holography provides a reformulation of scattering amplitudes in four dimensional asymptotically flat spacetimes in terms of conformal correlators of operators on the two dimensional celestial sphere in a basis of boost…

High Energy Physics - Theory · Physics 2024-01-22 Laurent Freidel , Daniele Pranzetti , Ana-Maria Raclariu

We introduce Mellin amplitudes for correlation functions of $k$ scalar operators and one operator with spin in conformal field theories (CFT) in general dimension. We show that Mellin amplitudes for scalar operators have simple poles with…

High Energy Physics - Theory · Physics 2014-10-16 Vasco Gonçalves , João Penedones , Emilio Trevisani

A novel definition of holographic correlation functions on the celestial sphere of Minkowski space was recently introduced in arXiv:2301.01810 as the extrapolation of bulk time-ordered correlation functions to the celestial sphere. In this…

High Energy Physics - Theory · Physics 2025-02-06 Francesca Pacifico , Charlotte Sleight , Massimo Taronna

In the bottom-up approach to celestial holography, it is tempting to define celestial amplitudes by transforming momentum-space amplitudes order by order in perturbation theory. We test this prescription in the exactly solvable…

High Energy Physics - Theory · Physics 2026-05-08 Adam Tropper