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In an earlier paper [arXiv:2511.03669] we extracted the OPE of celestial CFT operator duals of positive helicity graviton and scalar particles from the Mellin transformed relevant MHV amplitudes of conformal gravity, realised as the bosonic…

High Energy Physics - Theory · Physics 2026-05-08 Nirmal Ghorai , Partha Paul , Nemani V. Suryanarayana

In this paper, we compute the celestial amplitude arising from higher curvature corrections to Einstein gravity, incorporating phase dressing. The inclusion of such corrections leads to effective modifications of the theory's ultraviolet…

High Energy Physics - Theory · Physics 2025-08-18 Arpan Bhattacharyya , Saptaswa Ghosh , Sounak Pal

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

In this letter we discuss the operator product expansion of scalar operators in five-dimensional field theories with an $SU(1,3)\times U(1)$ spacetime symmetry. Such theories arise by a novel conformal null reduction of six-dimensional…

High Energy Physics - Theory · Physics 2024-05-16 N. Lambert , A. Lipstein , R. Mouland

On-shell kinematics for gluon scattering can be parametrized with points on the celestial sphere; in the limit where these points collide, it is known that tree-level gluon scattering amplitudes exhibit an operator product expansion…

High Energy Physics - Theory · Physics 2023-04-19 Tim Adamo , Wei Bu , Eduardo Casali , Atul Sharma

Starting from the defining two-point and three-point functions of Celestial CFTs, Euclidean integral blocks are constructed for the OPE of scalar primaries. In their integral form they can alternatively be fixed using Poincar\'e symmetry…

High Energy Physics - Theory · Physics 2021-08-31 Alfredo Guevara

Operator product expansions (OPEs) in quantum field theory (QFT) provide an asymptotic relation between products of local fields defined at points $x_1, \dots, x_n$ and local fields at point $y$ in the limit $x_1, \dots, x_n \to y$. They…

High Energy Physics - Theory · Physics 2023-12-05 Stefan Hollands , Robert M. Wald

Soft-operators, loosely speaking, are operators which create or annihilate zero energy massless particles on the celestial sphere in Minkowski space. The Lorentz group acts on the celestial sphere by conformal transformation and the…

High Energy Physics - Theory · Physics 2020-05-20 Shamik Banerjee , Pranjal Pandey , Partha Paul

In celestial holography, scattering particles in four-dimensional asymptotically flat spacetimes are dual to conformal primary field operators on the celestial sphere. Multi-particle celestial operators can be formed from regularized…

High Energy Physics - Theory · Physics 2026-01-09 Mathew Calkins , Monica Pate

Using the ambitwistor string, we complete the list of celestial OPE coefficients for supersymmetric theories. This uses the ambitwistor string worldsheet CFT to dynamically generate the OPE coefficients for maximally supersymmetric gauge…

High Energy Physics - Theory · Physics 2022-07-13 Wei Bu

We study the operator product expansion of the plaquette (gluon condensate) and the self-energy of an infinitely heavy quark. We first compute their perturbative expansions to order $\alpha^{35}$ and $\alpha^{20}$, respectively, in the…

High Energy Physics - Phenomenology · Physics 2016-02-17 Gunnar S. Bali , Antonio Pineda

We explore the consequences of conformal symmetry for the operator product expansions in nonrelativistic field theories. Similar to the relativistic case, the OPE coefficients of descendants are related to that of the primary. However,…

High Energy Physics - Theory · Physics 2015-04-27 Siavash Golkar , Dam T. Son

We show that associativity of the tree-level OPE in a celestial CFT imposes constraints on the coupling constants of the corresponding bulk theory. These constraints are the same as those derived in arXiv:2111.11356 from the Jacobi identity…

High Energy Physics - Theory · Physics 2022-09-14 Lecheng Ren , Marcus Spradlin , Akshay Yelleshpur Srikant , Anastasia Volovich

Operator product expansion technique is analyzed in abelian and nonabelian nonsupersymmetric field theoretical models with confinement. Special attention is paid to the regimes where nonzero virtuality of vacuum fields is felt by external…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. Shevchenko , Yu. Simonov

Asymptotic symmetry plays an important role in determining physical observables of a theory. Recently, in the context of four dimensional asymptotically flat pure gravity and $\mathcal{N}=1$ supergravity, it has been proposed that OPEs of…

High Energy Physics - Theory · Physics 2022-01-26 Nabamita Banerjee , Tabasum Rahnuma , Ranveer Kumar Singh

From a study of the subleading structure of the asymptotic equations of motion in Einstein-Yang-Mills theory, we construct charges that are conserved up to quadratic order in non-radiative vacuum. We then show that these higher spin charges…

High Energy Physics - Theory · Physics 2025-05-01 Shreyansh Agrawal , Panagiotis Charalambous , Laura Donnay

Quantitative theoretical techniques for understanding the substructure of jets at the LHC enable new insights into the dynamics of QCD, and novel approaches to search for new physics. Recently, there has been a program to reformulate jet…

High Energy Physics - Phenomenology · Physics 2022-10-19 Hao Chen , Ian Moult , Joshua Sandor , Hua Xing Zhu

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

Celestial operator product expansions (OPEs) arise from the collinear limit of scattering amplitudes and play a vital role in celestial holography. In this paper, we derive the celestial OPEs of massless fields in string theory from the…

High Energy Physics - Theory · Physics 2021-10-25 Hongliang Jiang

We revisit the standard construction of the celestial stress tensor as a shadow of the subleading conformally soft graviton. In its original formulation there is an obstruction to reproducing the expected TT OPE in the double soft limit. We…

High Energy Physics - Theory · Physics 2023-05-10 Shamik Banerjee , Sabrina Pasterski