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Langevin simulation provides an effective way to study collisional effects in beams by reducing the six-dimensional Fokker-Planck equation to a group of stochastic ordinary differential equations. These resulting equations usually have…

Accelerator Physics · Physics 2007-05-23 Ji Qiang , Salman Habib

We obtain representations of $X_1$ exceptional orthogonal polynomials through determinants of matrices that have certain adjusted moments as entries. We start out directly from the Darboux transformation, allowing for a universal…

Classical Analysis and ODEs · Mathematics 2017-10-10 Constanze Liaw , Jessica Stewart Kelly , John Osborn

In this paper, a higher-order time-discretization scheme is proposed, where the iterates approximate the solution of the stochastic semilinear wave equation driven by multiplicative noise with general drift and diffusion. We employ a…

Numerical Analysis · Mathematics 2022-07-20 Xiaobing Feng , Akash Ashirbad Panda , Andreas Prohl

We experimentally observe longer than long trajectory influence in high order harmonic generation (HHG) by varying the peak intensity of the driving laser field through either direct attenuation, or by chirping the laser pulse. Using a…

An alternative model of the fragmentation of the Lund string, investigating the hypothesis of helix-like ordered gluon field, is compared with hadronic $Z^0$ data. A significant improvement in the description of various measured quantities…

High Energy Physics - Phenomenology · Physics 2016-08-14 Šárka Todorova

New methods of solutions of the DGLAP equation and their implementation through NNLO in QCD are briefly reviewed. We organize the perturbative expansion that describes in $x$-space the evolved parton distributions in terms of scale…

High Energy Physics - Phenomenology · Physics 2008-12-30 Alessandro Cafarella , Claudio Coriano , Marco Guzzi

We study various corrections of correlation functions to leading order in conformal perturbation theory, both on the cylinder and on the plane. Many problems on the cylinder are mathematically equivalent to those in the plane if we give the…

High Energy Physics - Theory · Physics 2016-07-08 David Berenstein , Alexandra Miller

We have estimated the contributions to the moments of polarized nucleon structure function $g_1(x,Q^2)$ coming from the region of the very low x ($10^{-5}<x$). Our approach uses the nucleon structure function extrapolated to the region of…

High Energy Physics - Phenomenology · Physics 2014-11-17 B. Ziaja

The hadronic kt-spectrum inside a high energy jet is determined including corrections of relative magnitude O{\sqrt{\alpha_s}} with respect to the Modified Leading Logarithmic Approximation (MLLA), in the limiting spectrum approximation…

High Energy Physics - Phenomenology · Physics 2011-03-23 Redamy Perez Ramos , Francois Arleo , Bruno Machet

The moments of the single inclusive momentum distribution of hadrons in QCD jets, are studied in the next-to-modified-leading-log approximation (NMLLA) including next-to-leading-order (NLO) corrections to the alpha_s strong coupling. The…

High Energy Physics - Phenomenology · Physics 2014-08-18 Redamy Perez-Ramos , David d'Enterria

We revisit the description of the Pomeron within the effective string theory of QCD. Using a string duality relation, we show how the static potential maps onto the high-energy scattering amplitude that exhibits the Pomeron behavior.…

High Energy Physics - Phenomenology · Physics 2018-01-24 Dmitri Kharzeev , Edward Shuryak , Ismail Zahed

The time evolution of driven two-level systems in the far off-resonance regime is studied analytically. We obtain a general first-order perturbative expression for the time-dependent density operator which is applicable regardless of the…

Quantum Physics · Physics 2010-07-01 V. Delgado , J. M. Gomez Llorente

The current $3.7\sigma$ discrepancy between the Standard Model prediction and the experimental value of the muon anomalous magnetic moment could be a hint for the existence of new physics. The hadronic light-by-light contribution is one of…

High Energy Physics - Phenomenology · Physics 2020-11-25 Johan Bijnens , Nils Hermansson-Truedsson , Laetitia Laub , Antonio Rodriguez-Sanchez

Singular perturbations have been used to select solutions of (non-convex) variational problems with a multiplicity of minimizers. The prototype of such an approach is the gradient theory of phase transitions by L. Modica, who specialized…

Analysis of PDEs · Mathematics 2026-01-14 Andrea Braides

This paper investigates relationships between low-energy four-particle scattering amplitudes with external gauge particles and gravitons in the E_8 X E_8 and SO(32) heterotic string theories and the type I and type IA superstring theories…

High Energy Physics - Theory · Physics 2017-02-01 Michael B. Green , Arnab Rudra

We demonstrate a compatibility between the relativity principle and the clock postulate in deformed special relativity, by identifying the relevant deformed Lorentz transformations in position space between arbitrary frames. This result…

General Relativity and Quantum Cosmology · Physics 2023-12-18 Pedro H. Morais , Iarley P. Lobo , Christian Pfeifer , Rafael Alves Batista , Valdir B. Bezerra

QCD corrections to the QED formula for parton distribution functions of the longitudinal virtual photon are derived in the leading--logarithmic approximation. It is shown that the resulting PDF satisfy the same homogeneous evolution…

High Energy Physics - Phenomenology · Physics 2009-10-31 Jiri Chyla

Short-range corrections to long-range selected configuration interaction calculations are derived from perturbation theory considerations and applied to harmonium (with two to six electrons for some low-lying states). No fitting to…

Chemical Physics · Physics 2024-07-19 Anthony Scemama , Andreas Savin

We present first results of resumming soft gluon effects in a simulation of high energy collisions beyond the leading-colour approximation. We work to all orders in QCD perturbation theory using a new parton branching algorithm. This…

High Energy Physics - Phenomenology · Physics 2021-03-24 Matthew De Angelis , Jeffrey R. Forshaw , Simon Plätzer

A large fraction of the world data on both polarized and unpolarized inclusive $ep$ scattering at large Bjorken $x$ lies in the resonance region where a correspondence with the deep inelastic regime, known as Bloom and Gilman's duality, was…

High Energy Physics - Phenomenology · Physics 2017-08-23 S. Liuti , N. Bianchi , A. Fantoni
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