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Related papers: Massive celestial amplitudes and celestial amplitu…

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In this paper, we study celestial amplitudes of Goldstone bosons and conformal soft theorems. Motivated by the success of soft bootstrap in momentum space and the important role of the soft limit behavior of tree-level amplitudes, our goal…

High Energy Physics - Theory · Physics 2024-01-02 Karol Kampf , Jiri Novotny , Jaroslav Trnka , Petr Vasko

We compute all 3-point functions of the ``universal'' scalar operators contained in the interacting, maximally supersymmetric CFTs at large N by using the AdS/CFT correspondence. These SCFTs are related to the low energy description of M5,…

High Energy Physics - Theory · Physics 2009-10-31 Fiorenzo Bastianelli , Roberto Zucchini

In the 2022 study, together with Paul McFadden and Kostas Skenderis, I analyzed tree-level 3- and 4-point Witten diagrams (amplitudes) of scalar operators in anti-de Sitter space in momentum space. This paper constitutes its extension to…

High Energy Physics - Theory · Physics 2023-12-20 Adam Bzowski

A natural extension of the Pasterski-Shao-Strominger (PSS) prescription is described, enabling the map of Minkowski space amplitudes with massive spinning external legs to the celestial sphere to be performed. An integral representation for…

High Energy Physics - Theory · Physics 2020-06-15 Y. T. Albert Law , 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 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

We transform the one-loop four-point type $\mathrm{I}$ open superstring gluon amplitude to correlation functions on the celestial sphere including both the (non-)orientable planar and non-planar sector. This requires a Mellin transform with…

High Energy Physics - Theory · Physics 2024-08-06 Daniel Bockisch

We compute scattering amplitudes involving one massive scalar and two, three, or four gravitons. We show that when the conformal dimension of the massive scalar is set to zero, the resulting celestial correlators depend {\it only} on the…

High Energy Physics - Theory · Physics 2023-10-03 Adam Ball , Shounak De , Akshay Yelleshpur Srikant , Anastasia Volovich

We continue the exploration of multipoint scalar comb channel blocks for conformal field theories in 3D and 4D. The central goal here is to construct novel comb channel cross ratios that are well adapted to perform projections onto all…

High Energy Physics - Theory · Physics 2022-07-13 Ilija Buric , Sylvain Lacroix , Jeremy A. Mann , Lorenzo Quintavalle , Volker Schomerus

We analyze the consequences of models of structure formation for higher-order ($n$-point) galaxy correlation functions in the mildly non-linear regime. Several variations of the standard $\Omega=1$ cold dark matter model with…

Astrophysics · Physics 2016-08-30 Joshua A. Frieman , Enrique Gaztanaga

Celestial MHV amplitudes are comprised of non-distributional leaf amplitudes associated to an AdS$_3$ leaf of a foliation of flat spacetime. It is shown here that the leaf amplitudes are governed by the same infinite-dimensional soft…

High Energy Physics - Theory · Physics 2024-02-07 Walker Melton , Atul Sharma , Andrew Strominger

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 calculate holographically three-point functions of scalar operators with large dimensions at finite density and finite temperature. To achieve this, we construct new solutions that involve two isometries of the deformed internal space.…

High Energy Physics - Theory · Physics 2023-09-15 George Georgiou , Dimitrios Zoakos

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

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

In a recent paper, here referred to as part I, we considered the celestial four-gluon amplitude with one gluon represented by the shadow transform of the corresponding primary field operator. This correlator is ill-defined because it…

High Energy Physics - Theory · Physics 2021-12-08 Wei Fan , Angelos Fotopoulos , Stephan Stieberger , Tomasz R. Taylor , Bin Zhu

Motivated by recent work on the utility of Mellin space for representing conformal correlators in $AdS$/CFT, we study its suitability for representing dual conformal integrals of the type which appear in perturbative scattering amplitudes…

High Energy Physics - Theory · Physics 2015-06-04 Miguel F. Paulos , Marcus Spradlin , Anastasia Volovich

We propose a definition of Mellin amplitudes for conformal correlators involving arbitrary spinning operators in tensor representations of the Lorentz group. These representations cover all bosonic local operators. Our strategy is to…

High Energy Physics - Theory · Physics 2025-10-10 Zhongjie Huang , Yichao Tang

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

Seven-point functions have two inequivalent topologies or channels. The comb channel has been computed previously and here we compute scalar conformal blocks in the extended snowflake channel in $d$ dimensions. Our computation relies on the…

High Energy Physics - Theory · Physics 2020-12-30 Jean-François Fortin , Wen-Jie Ma , Witold Skiba