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Related papers: x-Evolution of Phenomenological Dipole Cross Secti…

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Important corrections to BFKL evolution are obtained from non-leading contributions and from non-linear effects due to unitarisation or saturation. It has been difficult to estimate the relative importance of these effects, as NLO effects…

High Energy Physics - Phenomenology · Physics 2009-11-11 Emil Avsar , Gosta Gustafson , Leif Lonnblad

We study the energy dependence of the total and diffractive neutrino-nucleon and neutrino-nucleus cross sections at very high energies. The calculation employs the QCD dipole model and the small-$x$ nonlinear Balitsky-Kovchegov evolution.…

High Energy Physics - Phenomenology · Physics 2024-10-02 Anh Dung Le , Heikki Mäntyssari

We investigate the well-known phenomenon of the beam-plasma instability in the gravitational sector, when a fast population of particles interacts with the massive scalar mode of an Horndeski theory of gravity, resulting into the linear…

General Relativity and Quantum Cosmology · Physics 2023-06-28 Fabio Moretti , Matteo Del Prete , Giovanni Montani

In this paper we address two questions: how energy conservation affects the solution to the non-linear equation, and how impact parameter dependence influences the inclusive production. Answering the first question we solve the modified BK…

High Energy Physics - Phenomenology · Physics 2011-01-17 Andrey Kormilitzin , Eugene Levin

We consider a formulation of Cauchy problem for Kolmogorov equation which corresponds a localized source of particles to be scattered by medium with given scattering amplitude density. The multiple scattering amplitudes are introduced and…

Statistical Mechanics · Physics 2014-12-02 Marc Guirao , Sergey Leble

We construct a generalization of the JIMWLK Hamiltonian, going beyond the eikonal approximation, which governs the high-energy evolution of the scattering between a dilute projectile and a dense target with an arbitrary longitudinal extent…

High Energy Physics - Phenomenology · Physics 2015-06-19 Edmond Iancu

The A-dependence of the saturation momentum and the scaling behavior of the scattering of a small dipole on a nuclear target are studied in the McLerran-Venugopalan model, in fixed coupling BFKL dynamics and in running coupling BFKL…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. H. Mueller

We summarize recent work on low-x deep inelastic scattering. The generalized vector dominance/color-dipole picture (GVD/CDP) implies a scaling behavior for $\sigma_{\gamma^* p} (W^2, Q^2)\cong \sigma_{\gamma^* p}(\eta)$, with $\eta = (Q^2 +…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Schildknecht

The coupling of the high-lying dipole mode to the low-lying quadrupole modes for the case of deformed gamma-unstable nuclei is studied. Results from the geometrical model are compared to those obtained within the dipole boson model.…

Nuclear Theory · Physics 2009-11-06 C. E. Alonso , M. V. Andres , J. M. Arias , E. G. Lanza , A. Vitturi

In a previous publication, we have constructed a set of non-linear evolution equations for dipole scattering amplitudes in QCD at high energy, which extends the Balitsky-JIMWLK hierarchy by including the effects of fluctuations in the gluon…

High Energy Physics - Phenomenology · Physics 2011-01-25 E. Iancu , D. N. Triantafyllopoulos

We consider a class of stochastic kinetic equations, depending on two time scale separation parameters $\epsilon$ and $\delta$: the evolution equation contains singular terms with respect to $\epsilon$, and is driven by a fast ergodic…

Probability · Mathematics 2021-06-14 Charles-Edouard Bréhier , Shmuel Rakotonirina-Ricquebourg

The forthcoming p+Pb run at the LHC will provide crucial in formation on the initial state effects of heavy ion collisions and on the gluon saturation phenomena. In turn, most of the saturation inspired phenomenology in heavy ion collisions…

High Energy Physics - Phenomenology · Physics 2012-08-31 Paloma Quiroga-Arias , Javier L. Albacete , J. Guilherme Milhano , Juan Rojo

Using realistic nuclear many-body wave functions in the collinear factorization framework, we evaluate nuclear Deep Inelastic Scattering at large Bjorken xB, where correlations are needed to exceed the kinematic limits of a single free…

Nuclear Theory · Physics 2007-05-23 Alberto Accardi , Jian-Wei Qiu , James P. Vary

Bjorken scaling violation in deep inelastic electron-proton scattering (DIS) is related to the rise of hadronic cross sections by using the additive quark model. Of special interest is the connection between saturation in the low-$x$…

High Energy Physics - Phenomenology · Physics 2017-04-05 Francesco Giovanni Celiberto , Roberto Fiore , László Jenkovszky

To study scattering amplitudes at high-energy, the T-product of two currents can be expanded in terms of coefficient functions (impact factors) and matrix elements of ``composite color dipoles'' made of Wilson line operators with rapidity…

High Energy Physics - Phenomenology · Physics 2010-11-19 Giovanni Antonio Chirilli

An idea of possible anomalous contribution of non-perturbative origin to the nucleon spin was examined by analysing data on spin asymmetries in polarized deep inelastic scattering of leptons on nucleons. The region of high Bjorken x was…

High Energy Physics - Phenomenology · Physics 2009-10-31 Wojciech Wislicki

A new type of approximate scaling compatible with the Balitsky-Kovchegov equation with running coupling is found, which is different from the previously known running coupling geometric scaling. The corresponding asymptotic traveling wave…

High Energy Physics - Phenomenology · Physics 2008-03-17 Guillaume Beuf

We present the first numerical solution to the next to leading order Balitsky-Kovchegov (BK) equation in coordinate space in the large-$N_\mathrm{c}$ limit. In addition to the dipole operator we also solve the evolution of the "conformal…

High Energy Physics - Phenomenology · Physics 2015-04-10 T. Lappi , H. Mäntysaari

We use information from DIS and the two gluon nucleon form factor to estimate the impact parameter amplitude of hadronic configurations in the dipole model of DIS. We demonstrate that only a small fraction of the total $\gamma^{\ast}N$…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. C. Rogers , M. I. Strikman

This paper is concerned with the study of the nonlinear viscoelastic evolution equation with strong damping and source terms, described by \[u_{tt} - \Delta_{\mathbb{B}}u + \int_{0}^{t}g(t-\tau)\Delta_{\mathbb{B}}u(\tau)d\tau +…

Analysis of PDEs · Mathematics 2016-02-09 Mohsen Alimohammady , Morteza Koozehgar Kalleji