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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

Carrollian holography aims to express gravity in four-dimensional asymptotically flat spacetime in terms of a dual three-dimensional Carrollian CFT living at null infinity. Carrollian amplitudes are massless scattering amplitudes written in…

High Energy Physics - Theory · Physics 2023-12-19 Lionel Mason , Romain Ruzziconi , Akshay Yelleshpur Srikant

We use on-shell Supersymmetry to constrain the three-point function of two massless particles and one massive particle in 3+1 dimensions. We use this information to write down the tree-level four-point function of massless particles for…

High Energy Physics - Theory · Physics 2023-06-28 Mahesh K. N. Balasubramanian , Kushal Chakraborty , Arnab Rudra , Arnab Priya Saha

We propose a new program for computing a certain integrand of scattering amplitudes of four-dimensional gauge theories which we call the \textit{form factor integrand}, starting from 6d holomorphic theories on twistor space. We show that…

High Energy Physics - Theory · Physics 2023-01-03 Kevin Costello , Natalie M. Paquette

We have observed damped longitudinal cosmological-scale oscillations in a unique model-independent plot of scale factor against cosmological time for Type Ia supernovae data. We found several first-derivative relative maxima/minima spanning…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-17 H. I. Ringermacher , L. R. Mead

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

I study constraints on fundamental physics emerging from consistency of a unitary, local and perturbative $S$-matrix in $4d$. For massless particles, some new constraints arising from consistent complex factorisation of $2\rightarrow 2$…

High Energy Physics - Theory · Physics 2026-05-07 Timothy Trott

Collinear limit usually provides strong constraints for scattering amplitudes. At strong coupling, collinear limit of the amplitudes in N=4 SYM is related to the large mass limit of the corresponding Y system. In this paper, we consider a…

High Energy Physics - Theory · Physics 2011-03-22 Gang Yang

We study celestial amplitudes in string theory at one-loop. Celestial amplitudes describe scattering processes of boost eigenstates and relate to amplitudes in the more standard basis of momentum eigenstates through a Mellin transform. They…

High Energy Physics - Theory · Physics 2023-07-10 Laura Donnay , Gaston Giribet , Hernán González , Andrea Puhm , Francisco Rojas

Cosmological scalar fields coupled to the Standard Model drive temporal variations in the fundamental constants that grow with redshift, positioning the early Universe as a powerful tool to study such models. We investigate the dynamics and…

High Energy Physics - Phenomenology · Physics 2025-08-04 Masha Baryakhtar , Olivier Simon , Zachary J. Weiner

Known examples of the holographic dictionary in asymptotically Anti-de Sitter spacetimes equate moduli spaces of bulk vacua with conformal manifolds in the dual quantum field theory. We demonstrate that the same identification holds for…

High Energy Physics - Theory · Physics 2023-03-15 Daniel Kapec , Y. T. Albert Law , Sruthi A. Narayanan

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

It is shown that a 2D CFT consisting of a central charge $c$ Liouville theory, a chiral level one, rank $N$ Kac-Moody algebra and a weight $-3/2$ free fermion holographically generate 4D MHV tree-level scattering amplitudes. The correlators…

High Energy Physics - Theory · Physics 2024-03-29 Walker Melton , Atul Sharma , Andrew Strominger , Tianli Wang

We show how to formulate celestial twistor amplitudes in Yang-Mills (YM) and gravity. This is motivated by a refined holographic correspondence between the twistor transform and the light transform in the boundary Lorentzian CFT. The…

High Energy Physics - Theory · Physics 2023-04-26 Graham R. Brown , Joshua Gowdy , Bill Spence

We present a universal treatment for imposing superconformal constraints on Mellin amplitudes for $\mathrm{SCFT_d}$ with $3\leq d\leq 6$. This leads to a new technique to compute holographic correlators, which is similar but complementary…

High Energy Physics - Theory · Physics 2018-09-26 Xinan Zhou

We investigate the nonlinear two- and three-point correlation functions of the cosmological density field in Fourier space and test the popular hierarchical clustering model, that the three-point amplitude Q is independent of scale. In…

Astrophysics · Physics 2009-10-31 Chung-Pei Ma , J. N. Fry

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

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

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 study celestial amplitudes for the S-matrix of the 2d integrable Bullough-Dodd model. This model has bound states that appear as poles in the physics strip of its 2d S-matrix, which complicates the computation of celestial amplitudes.…

High Energy Physics - Theory · Physics 2025-03-26 Minjia Wang , Wei Fan