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Related papers: Celestial gluon and graviton OPE at loop level

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We examine the structure of global conformal multiplets in 2D celestial CFT. For a 4D bulk theory containing massless particles of spin $s=\{0,\frac{1}{2},1,\frac{3}{2},2\}$ we classify and construct all SL(2,$\mathbb{C}$) primary…

High Energy Physics - Theory · Physics 2021-11-24 Sabrina Pasterski , Andrea Puhm , Emilio Trevisani

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

The double-soft limit of gluon and graviton amplitudes is studied in four dimensions at tree level. In general this limit is ambiguous and we introduce two natural ways of taking it: A consecutive double-soft limit where one particle is…

High Energy Physics - Theory · Physics 2015-05-20 Thomas Klose , Tristan McLoughlin , Dhritiman Nandan , Jan Plefka , Gabriele Travaglini

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

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

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

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

We study the soft and collinear (SV) contributions to inclusive Higgs-boson production in gluon-gluon fusion at four loops. Using recent progress for the quark and gluon form factors and Mellin moments of splitting functions, we are able to…

High Energy Physics - Phenomenology · Physics 2020-06-17 G. Das , S. Moch , A. Vogt

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

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

Celestial amplitudes which use conformal primary wavefunctions rather than plane waves as external states offer a novel opportunity to study properties of amplitudes with manifest conformal covariance and give insight into a potential…

High Energy Physics - Theory · Physics 2021-09-01 Eduardo Casali , Andrea Puhm

We consider the Carrollian limit of OPE blocks of scalar primaries, spin-1 currents and the stress tensor in 3-dimensional conformal field theory (CFT$_3$). We demonstrate that these OPE blocks decompose into OPE blocks of towers of…

High Energy Physics - Theory · Physics 2025-08-28 Leonardo Pipolo de Gioia , Ana-Maria Raclariu

We provide a unified treatment of conformally soft Goldstone modes which arise when spin-one or spin-two conformal primary wavefunctions become pure gauge for certain integer values of the conformal dimension $\Delta$. This effort lands us…

High Energy Physics - Theory · Physics 2020-10-28 Laura Donnay , Sabrina Pasterski , Andrea Puhm

We present a comprehensive two-loop computation of correlation functions involving two maximal giant gravitons and two arbitrary $R$-charge single-trace half-BPS operators in $\mathcal{N}=4$ Super-Yang-Mills theory. By combining the…

High Energy Physics - Theory · Physics 2025-09-30 Yu Wu , Yunfeng Jiang , Chang Liu , Yang Zhang

We explore conformal primary wavefunctions for all half integer spins up to the graviton. Half steps are related by supersymmetry, integer steps by the classical double copy. The main results are as follows: we 1) introduce a convenient…

High Energy Physics - Theory · Physics 2021-10-27 Sabrina Pasterski , Andrea Puhm

We recast the soft $S$-matrices on the celestial sphere as correlation functions of certain $2$-dimensional models of topological defects. In pointing out the double copy structure between the soft photon and soft graviton cases, we arrive…

High Energy Physics - Theory · Physics 2021-04-27 Nikhil Kalyanapuram

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

In this paper analytical results are presented for higher order corrections to coefficient functions of the operator product expansion (OPE) for the correlator of two pseudoscalar gluonium operators \tilde{O}_1=G^{\mu \nu}\tilde{G}_{\mu…

High Energy Physics - Phenomenology · Physics 2017-07-25 M. F. Zoller

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 study on-shell diagrams for gravity theories with any number of supersymmetries and find a compact Grassmannian formula in terms of edge variables of the graphs. Unlike in gauge theory where the analogous form involves only…

High Energy Physics - Theory · Physics 2016-12-21 Enrico Herrmann , Jaroslav Trnka