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Related papers: A New Calculation of the NLO Energy-Energy Correla…

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Energy Correlators (EC) are the simplest IR finite observables, which connect theories and experiments. In this paper, we provide a systematic algorithm to calculate the canonical differential equations for energy correlators at generic…

High Energy Physics - Phenomenology · Physics 2025-06-04 Rourou Ma , Jianyu Gong , Jingwen Lin , Kai Yan , Gang Yang , Yang Zhang

Energy-energy correlators (EECs) provide a powerful tool to study the evolution of scattered partons into final-state hadrons. In these proceedings, a variety of energy correlator measurements performed by the ALICE collaboration are…

Nuclear Experiment · Physics 2025-07-01 Beatrice Liang-Gilman

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

We present a comparison of the computation of energy-energy correlation in $e^{+}e^{-}$ collisions in the back-to-back region at next-to-next-to-leading logarithmic accuracy matched with the next-to-next-to-leading order perturbative…

High Energy Physics - Phenomenology · Physics 2018-08-01 Adam Kardos , Stefan Kluth , Gabor Somogyi , Zoltan Tulipant , Andrii Verbytskyi

We present two related techniques to measure the two-point correlation function and the power spectrum with edge correction in any spatial dimensions. The underlying algorithm uses fast Fourier transforms for calculating the two-point…

Astrophysics · Physics 2009-11-11 István Szapudi , Jun Pan , Simon Prunet , Tamás Budavári

We introduce a new paradigm for finite and infinite strict-one-dimensional uniform electron gases. In this model, $n$ electrons are confined to a ring and interact via a bare Coulomb operator. In the high-density limit (small-$r_s$, where…

Strongly Correlated Electrons · Physics 2012-08-15 Pierre-François Loos , Peter M. W. Gill

We compute the complete O(alpha^2) QED corrections to the electron energy spectrum in unpolarized muon decay, including the full dependence on the electron mass. Our calculation reduces the theoretical uncertainty on the electron energy…

High Energy Physics - Phenomenology · Physics 2008-11-26 Charalampos Anastasiou , Kirill Melnikov , Frank Petriello

We use the known soft and collinear limits of tree- and one-loop scattering amplitudes -- computed over a decade ago -- to explicitly construct a subtraction scheme for next-to-next-to-leading order (NNLO) computations. Our approach…

High Energy Physics - Phenomenology · Physics 2015-06-03 Radja Boughezal , Kirill Melnikov , Frank Petriello

Different computational methods are employed to evaluate elastic (rotationally summed) integral and differential cross sections for low energy (below about 10 eV) positron scattering off gas-phase C$_2$H$_2$ molecules. The computations are…

Chemical Physics · Physics 2009-11-13 J. Franz , F. A. Gianturco , K. L. Baluja , J. Tennyson , R. Carey , R. Montuoro , R. R. Lucchese , T. Stoecklin

A functional $E_{xc}[\rho(\r,\epsilon)]$ is presented, in which the exchange and correlation energy of an electron gas depends on the local density of occupied states. A simple local parametrization scheme is proposed, entirely from first…

Materials Science · Physics 2009-11-10 Jose M. Soler

We propose nucleon energy correlators (NECs) as a novel framework to probe electroweak light-quark dipole operators in deep inelastic scattering with an unpolarized nucleon. These operators encode chirality-flipping interactions, whose…

High Energy Physics - Phenomenology · Physics 2026-04-07 Yingsheng Huang , Xuan-Bo Tong , Hao-Lin Wang

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

The energy-energy-correlator (EEC) observable in $e^+e^-$ annihilation measures the energy deposited in two detectors as a function of the angle between the detectors. The collinear limit, where the angle between the two detectors…

High Energy Physics - Phenomenology · Physics 2019-07-17 Lance J. Dixon , Ian Moult , Hua Xing Zhu

We study the $D$-dimensional high-density correlation energy $\Ec$ of the singlet ground state of two electrons confined by a harmonic potential with Coulombic repulsion. We allow the harmonic potential to be anisotropic, and examine the…

Chemical Physics · Physics 2011-09-27 Yan Zhao , Pierre-François Loos , Peter M. W. Gill

We establish a sum rule that connects fracture functions to nucleon energy-energy correlators~(NEECs) in a one-to-one correspondence. Using this sum rule, we study the energy pattern in the target fragmentation region of deep inelastic…

High Energy Physics - Phenomenology · Physics 2024-06-14 Kai-Bao Chen , Jian-Ping Ma , Xuan-Bo Tong

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

A fast method is developed for calculating the Random-Phase-Approximation (RPA) correlation energy for density functional theory. The correlation energy is given by a trace over a projected RPA response matrix and the trace is taken by a…

Chemical Physics · Physics 2013-01-01 Daniel Neuhauser , Eran Rabani , Roi Baer

The angular correlation of the electrons in the neutrinoless double beta decay ($0\nu2\beta$) is calculated taking into account the nucleon recoil, the $S$ and $P$-waves for the electrons and the electron mass using a general Lorentz…

High Energy Physics - Phenomenology · Physics 2022-04-29 A. Ali , A. V. Borisov , D. V. Zhuridov

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

We discuss the exchange-correlation energy of a multicomponent (multi-valley) two-dimensional electron gas and show that an extension of the recent parametrisation of the exchange-correlation energy by Attacalite et al (Phys. Rev. Lett. 88,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. Karkkainen , M. Koskinen , S. M. Reimann , M. Manninen