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A new method to determine electron correlation energy is described. This method is based on a better representation of the potential due to interacting electrons that is obtained by specifying both the average and standard deviation. The…

Materials Science · Physics 2007-05-23 T. R. S. Prasanna

We use a combination of perturbation theory, holography, supersymmetric localization, integrability, and numerical conformal bootstrap methods to constrain the energy-energy correlator in $\text{SU}(N_c)$ ${\mathcal N}=4$ SYM at finite…

High Energy Physics - Theory · Physics 2025-12-12 Ross Dempsey , Robin Karlsson , Silviu S. Pufu , Zahra Zahraee , Alexander Zhiboedov

We present the analytic calculation of the leading order three-point energy correlator (EEEC) in hadronic Higgs decays, including both gluon-initiated channel $H\rightarrow g g+X$ and quark-initiated channel $H\rightarrow q\bar q+X$. The…

High Energy Physics - Phenomenology · Physics 2024-11-28 Tong-Zhi Yang , Xiaoyuan Zhang

Correlation functions of energy flow operators (energy-energy correlators) are one of the simplest observables in quantum field theory and gravity, with diverse applications ranging from real world collider physics to constraining the space…

High Energy Physics - Theory · Physics 2025-12-12 Bianka Meçaj , Ian Moult , Matthew T. Walters , Yuan Xin

We compute rigorously the scaling limit of multi-point energy correlations in the critical Ising model on a torus. For the one-point function, averaged between horizontal and vertical edges of the square lattice, this result has been known…

Mathematical Physics · Physics 2023-03-09 Konstantin Izyurov , Antti Kemppainen , Petri Tuisku

In electronic structure calculations, the correlation energy is defined as the difference between the mean field and the exact solution of the non relativistic Schr\"odinger equation. Such an error in the different calculations is not…

Quantum Physics · Physics 2022-04-04 Kumar J. B. Ghosh , Sabre Kais , Dudley R. Herschbach

The energy-energy correlator (EEC) is an observable of wide interest for collider physics and Standard Model measurements, due to both its simple theoretical description in terms of the energy-momentum tensor and its novel features for…

High Energy Physics - Phenomenology · Physics 2024-04-23 Stella T. Schindler , Iain W. Stewart , Zhiquan Sun

We investigate the collinear limit of the energy-energy correlator (EEC) in a heavy-ion context. First, we revisit the leading-logarithmic (LL) resummation of this observable in vacuum following a diagrammatic approach. We argue that this…

High Energy Physics - Phenomenology · Physics 2023-12-25 João Barata , Paul Caucal , Alba Soto-Ontoso , Robert Szafron

In this work we propose a novel composite method for accurate calculation of the energies of many-electron atoms. The dominant contribution to the energy (pair energies) are calculated by using explicitly correlated factorisable coupled…

Atomic Physics · Physics 2018-12-12 Michal Przybytek , Michal Lesiuk

In this paper, we explore the chamber dissection of the loop-geometry of Correlahedron, which encodes the loop integrand of four-point stress-energy correlators in planar $\mathcal{N}=4$ super Yang-Mills. We demonstrate that at four loops,…

High Energy Physics - Theory · Physics 2026-04-14 Song He , Yu-tin Huang , Chia-Kai Kuo

We have conducted the first simultaneous global fit of the strong coupling constant $\alpha_s$ and the Collins-Soper (CS) kernel using the energy-energy correlators (EEC) of $e^{+} e^{-}$ collisions in the back-to-back limit. This analysis,…

High Energy Physics - Phenomenology · Physics 2024-11-27 Zhong-Bo Kang , Jani Penttala , Congyue Zhang

Dynamics of high energy scattering in Quantum Chromodynamics (QCD) are primarily probed through detector energy flow correlations. One important example is the Energy-Energy Correlator (EEC), whose back-to-back limit probes correlations of…

High Energy Physics - Phenomenology · Physics 2023-01-11 Hao Chen , Xinan Zhou , Hua Xing Zhu

This is a sequel of our previous paper where we described an algorithm to find a solution of differential equations for master integrals in the form of an $\epsilon$-expansion series with numerical coefficients. The algorithm is based on…

High Energy Physics - Phenomenology · Physics 2018-08-15 Roman N. Lee , Alexander V. Smirnov , Vladimir A. Smirnov

We study the high energy limit of a six-point R-current correlator in N=4 supersymmetric Yang-Mills theory for finite N_c. We make use of the framework of perturbative resummation of large logarithms of the energy. More specifically, we…

High Energy Physics - Theory · Physics 2010-05-12 Jochen Bartels , Carlo Ewerz , Martin Hentschinski , Anna-Maria Mischler

In this work, we introduce a new jet observable, the one-point energy correlators (EC), designed to characterize the in-jet energy flow distribution by measuring energy deposition at a specific angle relative to the jet axis. Building upon…

High Energy Physics - Phenomenology · Physics 2025-07-31 Zihao Mi , Zhan Wang

The ${\cal O}(\alpha_s^2)$ coefficient of the energy-energy correlation function (EEC) has been calculated by four groups with differing results. This discrepancy has lead to some confusion over how to measure the strong coupling constant…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. W. N. Glover , M. R. Sutton

The two-point energy-energy correlator (EEC) is a novel jet substructure observable probing the correlation of energy flow within jets. In these proceedings, three EEC measurements performed by the ALICE Collaboration are reported. First is…

Nuclear Experiment · Physics 2025-10-21 Anjali Nambrath

Energy correlators are a type of observables that measure how energy is distributed across multiple detectors as a function of the angles between pairs of detectors. In this paper, we study the three-point energy correlator (EEEC) at lepton…

High Energy Physics - Phenomenology · Physics 2024-11-15 Anjie Gao , Tong-Zhi Yang , Xiaoyuan Zhang

We compute four-point functions with two maximal giant gravitons and two chiral primary operators at three-loop order in planar $\mathcal{N}=4$ Super-Yang-Mills theory. The Lagrangian insertion method, together with symmetries of the theory…

High Energy Physics - Theory · Physics 2023-12-12 Yunfeng Jiang , Yu Wu , Yang Zhang

The $N$-point energy correlator measures the energy flux through $N$ detectors. We present a general framework that characterizes its full angular dependence in a series of \textit{spinning energy correlators}. These spinning correlators…

High Energy Physics - Phenomenology · Physics 2025-12-22 Marc Riembau , Minho Son