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It is shown that the colour dipole approach to hard scattering at high energy is fully compatible with k_T factorization at the leading logarithm approximation (in -log x_Bj). The relations between the dipole amplitudes and unintegrated…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Bialas , H. Navelet , R. Peschanski

We consider the dielectric breakdown model in the limit $\eta\to 0^+$. A differential equation describing the surface growth is derived; this equation is KPZ plus a term causing linear instability, and includes a short-distance…

Soft Condensed Matter · Physics 2007-05-23 M. B. Hastings

Considering the Balitsky-Kovchegov QCD evolution equation in full momentum space, we derive the travelling wave solutions expressing the nonlinear saturation constraints on the dipole scattering amplitude at non-zero momentum transfer. A…

High Energy Physics - Phenomenology · Physics 2007-06-12 Robi Peschanski , Cyrille Marquet , Gregory Soyez

We obtain some important fundamental inequalities concerning the long time behavior of high order derivatives for solutions of some dissipative systems in terms of their $L^2$ algebraic decay. Some of these inequalities have not been…

Analysis of PDEs · Mathematics 2022-06-24 P. Braz e Silva , R. Guterres , C. F. Perusato , P. R. Zingano

We consider direct diphoton production in hadron collisions. We compute the next-to-next-to-leading order (NNLO) QCD radiative corrections at the fully-differential level. Our calculation uses the qT subtraction formalism and it is…

High Energy Physics - Phenomenology · Physics 2015-06-11 Leandro Cieri

We compute cross sections for incoherent diffractive J/Psi production in lepton-nucleus deep inelastic scattering. The cross section is proportional to A in the dilute limit and to A^(1/3) in the black disc limit, with a large nuclear…

High Energy Physics - Phenomenology · Physics 2015-03-17 T. Lappi , H. Mäntysaari

The Dirac equation for an electron in a finite dipole potential has been studied within the method of linear combination of atomic orbitals (LCAO). The Coulomb potential of the nuclei that compose a dipole is regularized, by considering the…

Strongly Correlated Electrons · Physics 2017-07-27 O. O. Sobol

In this paper, we investigate the uniform large deviation principle of the fractional stochastic reaction-diffusion equation on the entire space R^n as the noise intensity approaches zero. The nonlinear drift term is dissipative and has a…

Probability · Mathematics 2024-06-14 Bixiang Wang

We provide a derivation of the fourth-order DLSS equation based on an interpretation as a chemical reaction network. We consider the rate equation on the discretized circle for a process in which pairs of particles occupying the same site…

Analysis of PDEs · Mathematics 2025-10-09 Alexander Mielke , André Schlichting , Artur Stephan

We compute inclusive dihadron cross-section in Deep Inelastic Scattering at next-to-leading order (NLO) and small $x$ in the Color Glass Condensate. We focus on the kinematic limit where the hadrons are produced at forward rapidities (in…

High Energy Physics - Phenomenology · Physics 2024-06-04 Paul Caucal , Farid Salazar

An approximation is derived for a Langevin equation with distribution-dependent potential and state-dependent, randomly fast oscillation. By some estimates and a diffusion approximation the limiting equation is shown to be…

Probability · Mathematics 2024-03-08 Chungang Shi , Wei Wang

We study the next-to-next-to-leading order (NNLO) evolution of flavour non-singlet quark densities and structure functions in massless perturbative QCD. Present information on the corresponding three-loop splitting functions is used to…

High Energy Physics - Phenomenology · Physics 2008-11-26 W. L. van Neerven , A. Vogt

We calculate, for the first time, the next-to-next-to leading order (NNLO) QCD corrections to spin correlations in top quark pair production at the LHC. The NNLO corrections play an important role in the description of the corresponding…

High Energy Physics - Phenomenology · Physics 2019-08-28 Arnd Behring , Michal Czakon , Alexander Mitov , Andrew S. Papanastasiou , Rene Poncelet

In this paper we study second order stochastic differential equations with measurable and density-distribution dependent coefficients. Through establishing a maximum principle for kinetic Fokker-Planck-Kolmogorov equations with…

Probability · Mathematics 2022-01-26 Xicheng Zhang

This paper is concerned with the large deviation principle of the non-local fractional stochastic reaction-diffusion equation with a polynomial drift of arbitrary degree driven by multiplicative noise defined on unbounded domains. We first…

Probability · Mathematics 2023-05-23 Bixiang Wang

We consider a nonlinear variational wave equation that models the dynamics of the director field in nematic liquid crystals with high molecular rotational inertia. Being derived from an energy principle, energy stability is an intrinsic…

Numerical Analysis · Mathematics 2016-03-31 U. Koley , P. Aursand

We perform the first dipole picture fit to HERA inclusive cross section data using the full next-to-leading order (NLO) impact factor combined with an improved Balitsky-Kovchegov evolution including the dominant effects beyond leading…

High Energy Physics - Phenomenology · Physics 2020-11-04 G. Beuf , H. Hänninen , T. Lappi , H. Mäntysaari

We compute the next-leading-order cross-sections for diffractive electro- or photoproduction of a pair of hadrons with large $p_T$, out of a nucleus or a nucleon. A hybrid factorization is used, mixing collinear and small-$x$…

High Energy Physics - Phenomenology · Physics 2022-11-09 Michael Fucilla , Andrey V. Grabovsky , Lech Szymanowski , Emilie Li , Samuel Wallon

The calculations based on the next-to-leading logarithm (NLL) approximation for the Balitsky-Fadin-Kuraev-Lipatov (BKFL) evolution are presented for the Mueller-Navelet (MN) dijet production cross section, as well as for their ratios at…

High Energy Physics - Phenomenology · Physics 2023-07-14 Anatolii Iu. Egorov , Victor T. Kim

Dissipative processes are pivotal for understanding the hydrodynamic evolution of hot and dense QCD matter created in relativistic nuclear collisions. The interplay of multiple conserved charges -- net baryon, strangeness, and electric…

Nuclear Theory · Physics 2026-01-21 Akihiko Monnai , Grégoire Pihan , Björn Schenke , Chun Shen
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