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A metric on the space of collider physics data enables analysis of its geometrical properties, like dimensionality or curvature, as well as quantifying the density with which a finite, discrete ensemble of data samples the space. We provide…

High Energy Physics - Phenomenology · Physics 2025-09-01 Andrew J. Larkoski

We study mathematical aspects concerning two site tree-level cosmological correlators with massive internal and external states in a de Sitter universe. We employ integration by parts identities, (relative) twisted cohomology and the method…

High Energy Physics - Theory · Physics 2025-09-16 Federico Gasparotto , Pouria Mazloumi , Xiaofeng Xu

The energy correlator measures the energy deposited in multiple detectors as a function of the angles among them. In this paper, an analytic formula is given for the three-point energy correlator with full angle dependence at leading order…

High Energy Physics - Phenomenology · Physics 2022-10-06 Tong-Zhi Yang , Xiaoyuan Zhang

We generalize Regge theory to correlation functions in conformal field theories. This is done by exploring the analogy between Mellin amplitudes in AdS/CFT and S-matrix elements. In the process, we develop the conformal partial wave…

High Energy Physics - Theory · Physics 2018-07-24 Miguel S. Costa , Vasco Goncalves , Joao Penedones

The long-standing problem of representing the general massive one-loop Feynman integral as a meromorphic function of the space-time dimension $d$ has been solved for the basis of scalar one- to four-point functions with indices one. In 2003…

High Energy Physics - Phenomenology · Physics 2019-03-06 Khiem Hong Phan , Tord Riemann

We consider a set of half-BPS operators in $\mathcal{N}=4$ super Yang-Mills theory which are appropriate for describing single-particle states of superstring theory on AdS${}_5 \times S^5$. These single-particle operators are defined to…

High Energy Physics - Theory · Physics 2021-03-17 F. Aprile , J. M. Drummond , P. Heslop , H. Paul , F. Sanfilippo , M. Santagata , A. Stewart

In this paper we discuss the relation of particle number cumulants and correlation functions. It is argued that measuring couplings of the genuine multi-particle correlation functions could provide cleaner information on possible…

Nuclear Theory · Physics 2017-05-17 Adam Bzdak , Volker Koch , Nils Strodthoff

We investigate the partonic origin of the proton longitudinal spin using spin-dependent energy correlators measured in lepton-hadron collisions with longitudinally polarized proton beams. These observables encode angular correlations in…

High Energy Physics - Phenomenology · Physics 2026-05-19 Jun Gao , Hai Tao Li , Yu Jiao Zhu

Non-relativistic conformal field theory describes many-body physics at unitarity. The correlation functions of the system are fixed by the requirement of conformal invariance. In this article, we discuss the correlation functions of scalar…

High Energy Physics - Theory · Physics 2024-09-02 Rajesh Kumar Gupta , Meenu

We compute dual-conformally invariant ladder integrals that are capped off by pentagons at each end of the ladder. Such integrals appear in six-point amplitudes in planar N=4 super-Yang-Mills theory. We provide exact, finite-coupling…

High Energy Physics - Theory · Physics 2018-08-15 Simon Caron-Huot , Lance J. Dixon , Matt von Hippel , Andrew J. McLeod , Georgios Papathanasiou

We extend the Mellin space techniques of [1] for computing holographic four-point correlation functions in maximally superconformal theories to theories with only eight Poincar\'e supercharges. The one-half BPS operators in these…

High Energy Physics - Theory · Physics 2018-08-15 Xinan Zhou

Energy-energy correlators are constructed by averaging the number of charged particle pairs within jets, weighted by the product of their transverse momenta, as a function of the angular separation of the particles within a pair. They are…

Nuclear Experiment · Physics 2025-05-23 CMS Collaboration

We describe the use of generalized unitarity for the construction of correlation functions of local gauge-invariant operators in general quantum field theories and illustrate this method with several calculations in N=4 super-Yang-Mills…

High Energy Physics - Theory · Physics 2012-09-04 O. Tang Engelund , R. Roiban

We prove strong crystallization results in two dimensions for an energy that arises in the theory of block copolymers. The energy is defined on sets of points and their weights, or equivalently on the set of atomic measures. It consists of…

Analysis of PDEs · Mathematics 2013-11-11 D. P. Bourne , M. A. Peletier , F. Theil

We study the effect of loop corrections to conformal correlators on the celestial sphere at null infinity. We first analyze finite one-loop celestial amplitudes in pure Yang-Mills theory and Einstein gravity. We then turn to our main focus:…

High Energy Physics - Theory · Physics 2021-01-04 Hernan A. Gonzalez , Andrea Puhm , Francisco Rojas

Correlations in the distribution of energy produced in collider experiments provide a snapshot of the microscopic dynamics of QCD, and its evolution from asymptotically free quarks and gluons, to confined hadrons. There has recently been…

High Energy Physics - Phenomenology · Physics 2025-12-16 Max Jaarsma , Yibei Li , Ian Moult , Wouter J. Waalewijn , Hua Xing Zhu

Using the Schwinger-Keldysh-formalism, reformulated in arXiv:2108.01695 as an effective field theory in Euclidean anti-de Sitter, we evaluate the one-loop cosmological four-point function of a conformally coupled interacting scalar field in…

High Energy Physics - Theory · Physics 2022-09-07 T. Heckelbacher , I. Sachs , E. Skvortsov , P. Vanhove

We bootstrap all of the next-next-to-extremal one-loop four-point correlators of supergravitons and supergluons in ${\rm AdS_5}$ using a differential representation, and obtain closed formulas that are valid in both position space and…

High Energy Physics - Theory · Physics 2025-02-06 Zhongjie Huang , Bo Wang , Ellis Ye Yuan

We use AdS/CFT duality to compute in N=4 Yang-Mills theory the finite temperature spatial correlator G(r) of the scalar operator F^2, integrated over imaginary time. The computation is carried out both at zero frequency and integrating the…

High Energy Physics - Theory · Physics 2011-03-21 K. Kajantie , M. Vepsalainen

Supersymmetric circular Wilson loops in $\mathcal{N}=4$ Super-Yang-Mills theory are discussed starting from their Gaussian matrix model representations. Previous results on the generating functions of Wilson loops are reviewed and extended…

High Energy Physics - Theory · Physics 2021-07-06 Wolfgang Mück