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We determine tree level, all-order celestial operator product expansions (OPEs) of gluons and gravitons in the maximally helicity violating (MHV) sector. We start by obtaining the all-order collinear expansions of MHV amplitudes using the…

High Energy Physics - Theory · Physics 2023-10-17 Lecheng Ren , Anders Schreiber , Atul Sharma , Diandian Wang

Celestial holography posits that the long-distance behavior of gauge and gravity theories is dictated by two-dimensional conformal field theories defined on the celestial sphere. For non-abelian gauge theories, this proposal is verified, to…

High Energy Physics - Theory · Physics 2025-12-29 Lorenzo Magnea , Enrico Zunino

In this paper we study the OPE between two positive helicity outgoing gluons in the celestial CFT for the Yang-Mills theory chirally coupled to a massive scalar background. This theory breaks the translation as well as scale invariance. We…

High Energy Physics - Theory · Physics 2023-11-14 Shamik Banerjee , Raju Mandal , Akavoor Manu , Partha Paul

In this paper, we analyze the loop corrections to celestial OPE for gluons and gravitons. Even at the loop level, the soft gluons and gravitons have conformal dimensions $\Delta=1-\mathbb Z_{\geq 0}$. The only novelty is the presence of…

High Energy Physics - Theory · Physics 2024-02-27 Hare Krishna

We explain how twistor theory represents the self-dual sector of four dimensional gravity in terms of the loop group of Poisson diffeomorphisms of the plane via Penrose's non-linear graviton construction. The symmetries of the self-dual…

High Energy Physics - Theory · Physics 2022-03-09 Tim Adamo , Lionel Mason , Atul Sharma

We consider massless scattering from the point of view of the position, momentum, and celestial bases. In these three languages different properties of physical processes become manifest or obscured. Within the soft sector, they highlight…

High Energy Physics - Theory · Physics 2022-07-06 Laura Donnay , Sabrina Pasterski , Andrea Puhm

We present a supersymmetric version of a two-field relaxion model that naturalizes tuned versions of supersymmetry. This arises from a relaxion mechanism that does not depend on QCD dynamics and where the relaxion potential barrier height…

High Energy Physics - Phenomenology · Physics 2022-09-09 Jason L. Evans , Tony Gherghetta , Natsumi Nagata , Zoe Thomas

We explore the celestial holography proposal for non-trivial asymptotically flat backgrounds including the Coulomb field of a static and spinning point charge, their gravitational counterparts described by the Schwarzschild and Kerr…

High Energy Physics - Theory · Physics 2022-10-27 Riccardo Gonzo , Tristan McLoughlin , Andrea Puhm

This is the second part of a work aimed at constructing the stress-energy tensor of conformal field theory (CFT) as a local "object" in conformal loop ensembles (CLE). This work lies in the wider context of re-constructing quantum field…

Mathematical Physics · Physics 2009-10-19 Benjamin Doyon

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 investigate the presence of logarithmic CFT doublets in the soft sector of celestial CFT related with supertranslations. We show that the quantum operator associated with a $\log u$ late-time behavior for the asymptotic gravitational…

High Energy Physics - Theory · Physics 2024-07-25 Agnese Bissi , Laura Donnay , Beniamino Valsesia

We consider the tree-level scattering of massless particles in $(d+2)$-dimensional asymptotically flat spacetimes. The $\mathcal{S}$-matrix elements are recast as correlation functions of local operators living on a space-like cut…

High Energy Physics - Theory · Physics 2018-07-04 Daniel Kapec , Prahar Mitra

We study two novel approaches to efficiently encoding universal constraints imposed by conformal symmetry, and describe applications to quantum chaos in higher dimensional CFTs. The first approach consists of a reformulation of the shadow…

High Energy Physics - Theory · Physics 2019-12-13 Felix M. Haehl , Wyatt Reeves , Moshe Rozali

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

Loop corrections in QED and gravity have recently been conjectured to give rise to an infinite tower of logarithmic soft theorems governing the universal low-energy behavior of photons and gravitons. We explore the implications of this…

High Energy Physics - Theory · Physics 2026-01-16 Sangmin Choi , Ameya Kadhe , Andrea Puhm

By applying the stress-tensor-scalar operator product expansion (OPE) twice, we search for algebraic structures in $d=4$ conformal field theories (CFTs) with a pure Einstein gravity dual. We find that a rescaled mode operator defined by an…

High Energy Physics - Theory · Physics 2022-09-07 Kuo-Wei Huang

We develop two approaches to the problem of soft fragmentation of hadrons in a gauge theory for high energy processes. The first approach directly adapts the standard resummation of the parton distribution function's anomalous dimension…

High Energy Physics - Phenomenology · Physics 2020-07-15 Duff Neill , Felix Ringer

Celestial CFT$_d$ is the putative dual of quantum gravity in asymptotically flat $(d+2)$ dimensional space time. We argue that a class of Celestial CFT$_d$ can be engineered via AdS$_{d+1}$-CFT$_d$ correspondence. Our argument is based on…

High Energy Physics - Theory · Physics 2025-06-19 Shamik Banerjee , Nishant Gupta , Sagnik Misra

Asymptotic particle states in four-dimensional celestial scattering amplitudes are labelled by their $SL(2,\mathbb{C})$ Lorentz/conformal weights $(h,\bar{h})$ rather than the usual energy-momentum four-vector. These boost eigenstates…

High Energy Physics - Theory · Physics 2019-10-30 Monica Pate , Ana-Maria Raclariu , Andrew Strominger

We identify an eikonal regime in celestial CFT$_2$ in which massless 2-2 scattering is dominated by t-channel exchange. We derive a formula for the celestial amplitude that resums exchanges of arbitrary integer spin to all orders in the…

High Energy Physics - Theory · Physics 2022-06-22 Leonardo Pipolo de Gioia , Ana-Maria Raclariu