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We introduce the azimuthal correlation for the deep inelastic scattering process. We present the QCD prediction to the level of next-to-leading log resummation, matching to the fixed order prediction. We also estimate the leading…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Banfi , G. Marchesini , G. Smye

We investigate the energy-energy correlator (EEC) of hadrons produced on the same side in $e^+e^-$ annihilation or in leading jets in $pp$ collisions. We observe a remarkable universality of the correlator. Using a non-perturbative…

High Energy Physics - Phenomenology · Physics 2024-10-29 Xiaohui Liu , Werner Vogelsang , Feng Yuan , Hua Xing Zhu

We consider the thrust ($T$) distribution in electron-positron ($e^+e^-$) annihilation into hadrons and we perform the all-order resummation of the large logarithms of $1-T$ up to next-to-next-to-next-to-next-to-leading logarithmic…

High Energy Physics - Phenomenology · Physics 2025-02-10 Ugo Giuseppe Aglietti , Giancarlo Ferrera , Wan-Li Ju , Jiahao Miao

I give a pedagogical introduction to resummation and power corrections, using the thrust variable in electron-positron annihilation as an example, followed by an discussion of issues of predictability in perturbative QCD.

High Energy Physics - Phenomenology · Physics 2007-05-23 George Sterman

The states of hydrogen atom with principal quantum number n <= 3 and zero magnetic quantum number in constant homogeneous magnetic field H are considered. The perturbation theory series is summed with the help of Borel transformation and…

Atomic Physics · Physics 2016-11-23 V. A. Gani , A. E. Kudryavtsev , V. A. Lensky , V. M. Weinberg

Second-order partial differential equations in non-divergence form are considered. Equations of this kind typically arise as subproblems for the solution of Hamilton-Jacobi-Bellman equations in the context of stochastic optimal control, or…

Numerical Analysis · Mathematics 2020-08-13 Jan Blechschmidt , Roland Herzog , Max Winkler

We show that the method of partial covariance is a very efficient way to introduce constraints (such as the centrality selection) in data analysis in ultra-relativistic nuclear collisions. The technique eliminates spurious event-by-event…

Nuclear Theory · Physics 2018-10-18 Wojciech Broniowski , Adam Olszewski

The influence of dispersion on the differential scattering cross section in the vicinity of the first diffraction minimum is revisited for collision energies between 200 and 450 MeV. Transient nuclear excitations in the giant resonance…

Nuclear Theory · Physics 2026-03-12 D. H. Jakubassa-Amundsen

The possibility to reanalyse data taken by the HERA experiments offers the chance to study modern QCD jet and event-shape observables in deep-inelastic scattering production. In this contribution we present resummed and matched predictions…

High Energy Physics - Phenomenology · Physics 2024-07-03 Max Knobbe , Daniel Reichelt , Steffen Schumann , Leon Stöcker

Recently we have computed the third order corrections to the ground state energy of the arbitrarily polarized diluted gas of spin 1/2 fermions interacting through a spin-independent repulsive two-body potential. Here we extend this result…

Quantum Gases · Physics 2023-07-05 Piotr H. Chankowski , Jacek Wojtkiewicz , Szymon Augustynowicz

We study the process of electron-positron annihilation into back-to-back jets, where in each jet a pair of hadrons is detected. The orientation of these two pairs with respect to each other can be used to extract the interference…

High Energy Physics - Phenomenology · Physics 2009-11-10 Daniel Boer , Rainer Jakob , Marco Radici

We calculate and resum a perturbative expansion of nuclear enhanced power corrections to the structure functions measured in deeply inelastic scattering of leptons on a nuclear target. Our results for the Bjorken x-, Q**2- and A-dependence…

High Energy Physics - Phenomenology · Physics 2015-06-25 Ivan Vitev

Difficulties may arise when analyzing longitudinal data using mixed-effects models if there are nonparametric functions present in the linear predictor component. This study extends the use of semiparametric mixed-effects modeling in cases…

Methodology · Statistics 2024-02-05 Mozhgan Taavoni , Mohammad Arashi

The size of non-perturbative corrections to high E_T jet production in deep-inelastic scattering is reviewed. Based on predictions from fragmentation models, hadronization corrections for different jet definitions are compared and the model…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Wobisch , T. Wengler

We study the azimuthal angle dependence of the energy-energy correlators $\langle \mathcal{E}(\hat{n}_1)\mathcal{E}(\hat{n}_2)\rangle$ in the back-to-back region for $e^+e^-$ annihilation and deep inelastic scattering (DIS) processes with…

High Energy Physics - Phenomenology · Physics 2024-06-06 Zhong-Bo Kang , Kyle Lee , Ding Yu Shao , Fanyi Zhao

The $e^+e^-$ annihilation of unpolarized beams is free from initial hadron states or initial anisotropy around the azimuthal angle, hence ideal for studying the correlations of dynamical origin via final state jets. We investigate the…

High Energy Physics - Phenomenology · Physics 2025-12-03 Xuan Chen , Yuesheng Dai , Shi-Yuan Li , Zong-Guo Si , Huiting Sun

We discuss the choice of weight functions for the moments of the spectral density for two-point correlators of hadronic currents over a finite energy interval. Of phenomenological relevance is an analysis of the spectra of tau lepton decay…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Groote , J. G. Körner , A. A. Pivovarov

We describe a method to measure and subtract the incoherent component of energy flow arising from multiple interactions from jet shape/substructure observables of ultra-massive jets. The amount subtracted is a function of the jet shape…

High Energy Physics - Phenomenology · Physics 2013-05-29 Raz Alon , Ehud Duchovni , Gilad Perez , Aliaksandr P. Pranko , Pekka K. Sinervo

We analyze the structure of higher-order radiative corrections for processes with unstable particles. By subsequently integrating out the various scales that are induced by the presence of unstable particles we obtain a hierarchy of…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. P. Chapovsky , V. A. Khoze , A. Signer , W. J. Stirling

The high-energy behaviour of two-scale hard processes is investigated in the framework of small-x models with running coupling, having the Airy diffusion model as prototype. We show that, in some intermediate high-energy regime, the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Marcello Ciafaloni , Martina Taiuti , A. H. Mueller