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Related papers: Symmetries of Celestial Amplitudes

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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…

High Energy Physics - Theory · Physics 2019-10-23 Dhritiman Nandan , Anders Schreiber , Anastasia Volovich , Michael Zlotnikov

Recently, scattering amplitudes in four-dimensional Minkowski spacetime have been interpreted as conformal correlation functions on the two-dimensional celestial sphere, the so-called celestial amplitudes. In this note we consider…

High Energy Physics - Theory · Physics 2021-12-08 Livia Ferro , Robert Moerman

Celestial scattering amplitudes for massless particles are Mellin transforms of momentum-space scattering amplitudes with respect to the energies of the external particles, and behave as conformal correlators on the celestial sphere.…

High Energy Physics - Theory · Physics 2024-06-21 Tim Adamo , Wei Bu , Piotr Tourkine , Bin Zhu

The four-dimensional (4D) Lorentz group $SL(2,\mathbb{C})$ acts as the two-dimensional (2D) global conformal group on the celestial sphere at infinity where asymptotic 4D scattering states are specified. Consequent similarities of 4D flat…

High Energy Physics - Theory · Physics 2017-10-04 Sabrina Pasterski , Shu-Heng Shao , Andrew Strominger

Celestial amplitudes are multiple Mellin transforms w.r.t. conformal dimensions. For arbitrary multiplicity $n$ of massless states in sufficiently high space--time dimension $D$ we perform all Mellin integrations and find an associahedron…

High Energy Physics - Theory · Physics 2025-12-19 Jin Dong , Stephan Stieberger

Celestial holography provides a promising avenue to studying bulk scattering in flat spacetime from the perspective of boundary celestial conformal field theory (CCFT). A key ingredient in connecting the two sides is the celestial…

High Energy Physics - Theory · Physics 2022-10-26 Hongliang Jiang

Holographic correlators on the celestial sphere of Minkowski space were recently defined in arXiv:2301.01810 as the extrapolation of bulk time-ordered correlation functions to the celestial sphere. In this work we explore the Mellin…

High Energy Physics - Theory · Physics 2024-12-17 Francesca Pacifico , Paolo Pergola , Charlotte Sleight

The soft limits of scattering amplitudes have been extensively studied due to their essential role in the computation of physical observables in collider physics. The universal factorisation that occurs in these kinematic limits has been…

High Energy Physics - Theory · Physics 2022-12-14 Tristan McLoughlin , Andrea Puhm , Ana-Maria Raclariu

The functional structure of celestial amplitudes as constrained by Poincar\'e symmetry is investigated in $2,3,$ and $4$-point cases for massless external particles of various spin, as well as massive external scalars. Functional…

High Energy Physics - Theory · Physics 2020-04-10 Y. T. Albert Law , Michael Zlotnikov

Celestial amplitude is a new reformulation of momentum space scattering amplitude and offers a promising way for flat holography. In this paper, we study the celestial amplitude in $\mathcal N=4$ Super-Yang-Mills (SYM) theory aiming at…

High Energy Physics - Theory · Physics 2021-09-01 Hongliang Jiang

Scattering amplitudes of massless particles in Minkowski space can be expressed in a conformal basis by Mellin transforming the momentum space amplitudes to correlation functions on the celestial sphere at null infinity. In this paper, we…

High Energy Physics - Theory · Physics 2021-01-04 Soner Albayrak , Chandramouli Chowdhury , Savan Kharel

We revisit the prescription commonly used to define holographic correlators on the celestial sphere of Minkowski space as an integral transform of flat space scattering amplitudes, known as celestial amplitudes. We propose a resolution to a…

High Energy Physics - Theory · Physics 2025-07-23 Charlotte Sleight , Massimo Taronna

We present the first computation of three-point celestial amplitudes in Minkowski space of massless scalars, photons, gluons, and gravitons. Such amplitudes were previously considered to be zero in the literature because the corresponding…

High Energy Physics - Theory · Physics 2023-07-12 Chi-Ming Chang , Wen-Jie Ma

We develop a split representation for celestial amplitudes in celestial holography, by cutting internal lines of Feynman diagrams in Minkowski space. More explicitly, the bulk-to-bulk propagators associated with the internal lines are…

High Energy Physics - Theory · Physics 2023-11-16 Chi-Ming Chang , Reiko Liu , Wen-Jie Ma

We transform superstring scattering amplitudes into the correlation functions of primary conformal fields on two-dimensional celestial sphere. The points on celestial sphere are associated to the asymptotic directions of (light-like)…

High Energy Physics - Theory · Physics 2018-10-17 Stephan Stieberger , Tomasz R. Taylor

We start by constructing a conformally covariant improvement of the celestial light transform which keeps track of the mixing between incoming and outgoing states under finite Lorentz transformations in $\mathbb{R}^{2,2}$. We then compute…

High Energy Physics - Theory · Physics 2023-03-01 Carmen Jorge-Diaz , Sabrina Pasterski , Atul Sharma

We review the role that infinite-dimensional symmetries arising at the boundary of asymptotically flat spacetimes play in the context of the celestial holography program. Once recast into the language of conformal field theory, asymptotic…

High Energy Physics - Theory · Physics 2023-10-20 Laura Donnay

The 4D 4-point scattering amplitude of massless scalars via a massive exchange is expressed in a basis of conformal primary particle wavefunctions. This celestial amplitude is expanded in a basis of 2D conformal partial waves on the unitary…

High Energy Physics - Theory · Physics 2022-01-12 Alexander Atanasov , Walker Melton , Ana-Maria Raclariu , Andrew Strominger

Inspired by ancient astronomy, we propose a holographic description of perturbative scattering amplitudes, as integrals over a `celestial sphere'. Since Lorentz invariance, local interactions, and particle propagations all take place in a…

High Energy Physics - Theory · Physics 2017-10-13 C. S. Lam

Recent attempts at the construction of holography for asymptotically flat spacetimes have taken two different routes. Celestial holography, involving a two dimensional (2d) CFT dual to 4d Minkowski spacetime, has generated novel results in…

High Energy Physics - Theory · Physics 2022-06-29 Arjun Bagchi , Shamik Banerjee , Rudranil Basu , Sudipta Dutta
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