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In this paper, we develop a framework to construct energy-preserving methods for multi-components Hamiltonian systems, combining the exponential integrator and the partitioned averaged vector field method. This leads to numerical schemes…

Numerical Analysis · Mathematics 2021-11-08 X. Gu , C. Jiang , Y. Wang , W. Cai

We propose a new method for calculating total energies of systems of interacting electrons, which requires little more computational resources than standard density-functional theories. The total energy is calculated within the framework of…

Condensed Matter · Physics 2009-10-31 Paula Sanchez-Friera , R. W. Godby

Supersymmetric localisation has led to several modern developments in the study of integrated correlators in $\mathcal{N}=4$ supersymmetric Yang-Mills (SYM) theory. In particular, exact results have been derived for certain integrated…

High Energy Physics - Theory · Physics 2023-08-30 Daniele Dorigoni , Paolo Vallarino

In this letter, we consider a positive geometry conjectured to encode the loop integrand of four-point stress-energy correlators in planar $\mathcal{N}=4$ super Yang-Mills. Beginning with four lines in twistor space, we characterize a…

High Energy Physics - Theory · Physics 2024-10-03 Song He , Yu-tin Huang , Chia-Kai Kuo

Energy correlators characterize the asymptotic energy flow in scattering events produced at colliders, from which the microscopic physics of the scattering can be deduced. This view of collisions is akin to analyses of the Cosmic Microwave…

High Energy Physics - Phenomenology · Physics 2025-01-23 Ankita Budhraja , Wouter J. Waalewijn

Energy-energy-correlators (EEC's) are a promising observable to study the dynamics of jet evolution in the quark-gluon plasma (QGP) through its imprint on angular scales in the energy flux of final-state particles. We carry out the first…

High Energy Physics - Phenomenology · Physics 2024-04-03 Zhong Yang , Yayun He , Ian Moult , Xin-Nian Wang

We present a new calculation of the $O(\alpha_s^2)$ coefficient of the energy-energy correlation function (EEC) using two different schemes to cancel infrared and collinear poles. The numerical evaluation uses the phase space slicing and…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Kramer , H. Spiesberger

We generalize the conventional Energy-Energy Correlator (EEC) to include the azimuthal angle dependence, so to define azimuthal angle dependent EEC observables. We study this new EEC observable in $e^+e^-$ and semi-inclusive deep inelastic…

High Energy Physics - Phenomenology · Physics 2023-07-14 Zhong-Bo Kang , Kyle Lee , Ding Yu Shao , Fanyi Zhao

We present exact expressions for certain integrated correlators of four superconformal primary operators in the stress tensor multiplet of $\mathcal{N}=4$ supersymmetric Yang--Mills (SYM) theory with classical gauge group, $G_N$ $= SO(2N)$,…

High Energy Physics - Theory · Physics 2022-10-12 Daniele Dorigoni , Michael B. Green , Congkao Wen

The energy-energy correlation (EEC) in electron-positron annihilation plays a crucial role in precision tests of quantum chromodynamics (QCD) and measurements of the QCD coupling constant. In this paper, we provide a novel analysis for the…

High Energy Physics - Phenomenology · Physics 2026-04-14 Zhu-Yu Ren , Sheng-Quan Wang , Jian-Ming Shen , Xing-Gang Wu , Leonardo Di Giustino , Philip G. Ratcliffe , Stanley J. Brodsky

In this contribution to the Proceedings of the US Community Study on the Future of Particle Physics (Snowmass 2021) we review recent progress in the evaluation and application of the Energy-Energy Correlator (EEC) event shape observable in…

High Energy Physics - Phenomenology · Physics 2022-03-15 Duff Neill , Gherardo Vita , Ivan Vitev , Hua Xing Zhu

Energy correlators provide a powerful observable to study fragmentation dynamics in QCD. We demonstrate that the leading nonperturbative corrections for projected $N$-point energy correlators are described by the same universal parameter…

High Energy Physics - Phenomenology · Physics 2024-12-12 Kyle Lee , Aditya Pathak , Iain Stewart , Zhiquan Sun

Various properties of the general two-center two-electron integral over the explicitly correlated exponential function are analyzed for the potential use in high precision calculations for diatomic molecules. A compact one dimensional…

Chemical Physics · Physics 2015-06-11 Krzysztof Pachucki

One of the most important problems in any conformal field theory is the calculation of three-point functions of primary operators. In this paper we provide explicit examples of correlators with two scalar operators in $\,{\cal N}=4$…

High Energy Physics - Theory · Physics 2015-12-09 D. Arnaudov , R. C. Rashkov

Three-point functions of analytic (chiral primary) operators in N=4 Yang-Mills theory in four dimensions are calculated using the harmonic superspace formulation of this theory. In the case of the energy-momentum tensor multiplet anomaly…

High Energy Physics - Theory · Physics 2009-10-31 P. S. Howe , E. Sokatchev , P. C. West

We investigate energy correlators in semi-inclusive electron-positron annihilation as precision probes of parton hadronization dynamics. Using soft-collinear effective theory, we analyze the correlation patterns between the examined hadron…

High Energy Physics - Phenomenology · Physics 2026-01-21 Yu Jiao Zhu

We use the spinor methods of the CALKUL collaboration, as realized by Xu, Zhang and Chang, to calculate the differential cross section for e+ e- --> e+ e- + 2 photons for c.m.s. energies in the SLC/LEP regime. An explicit complete formula…

High Energy Physics - Phenomenology · Physics 2009-10-22 S. Jadach , B. F. L. Ward , S. A. Yost

Energy-energy correlators (EECs) provide a sensitive probe of both perturbative and nonperturbative dynamics in relativistic heavy-ion collisions. Jet-medium interactions enhance particle multiplicity within the jet cone, which must be…

Nuclear Theory · Physics 2026-05-12 Rushil Saraswat , Aditya Prasad Dash , Huan Zhong Huang , Gang Wang , Xin-Nian Wang , Zhong Yang

We derive an operator based factorization theorem for the energy-energy correlation (EEC) observable in the back-to-back region, allowing the cross section to be written as a convolution of hard, jet and soft functions. We prove the…

High Energy Physics - Phenomenology · Physics 2019-01-16 Ian Moult , Hua Xing Zhu

There has been recent progress on computing real-time equilibrium 3-point functions in finite-temperature strongly-coupled N=4 super Yang-Mills (SYM). In this paper, we show an example of how to carry out a similar analysis for a 4-point…

High Energy Physics - Theory · Physics 2015-05-30 Peter Arnold , Diana Vaman