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We analytically solve the Sudakov suppressed Balitsky-Kovchegov evolution equation with the fixed and running coupling constants in the saturation region. The analytic solution of the $S$-matrix shows the $\exp(\mathcal{O}(\eta^2))$…

High Energy Physics - Phenomenology · Physics 2021-02-03 Wenchang Xiang , Mengliang Wang , Yanbing Cai , Daicui Zhou

We use the Kovchegov-Levin equation to resum contributions of large invariant mass diffractive final states to diffractive structure functions in the dipole picture of deep inelastic scattering. For protons we use a (modified)…

High Energy Physics - Phenomenology · Physics 2023-08-01 Tuomas Lappi , Anh Dung Le , Heikki Mäntysaari

Solutions of the target-rapidity Balitsky-Kovchegov (BK) equation are studied considering, for the first time, the complete impact-parameter dependence, including the orientation of the dipole with respect to the impact-parameter vector. In…

High Energy Physics - Phenomenology · Physics 2023-12-01 J. Cepila , J. G. Contreras , M. Vaculciak

We present results from a numerical solution of the next-to-leading order (NLO) Balitsky-Kovchegov (BK) equation in coordinate space in the large Nc limit. We show that the solution is not stable for initial conditions that are close to…

High Energy Physics - Phenomenology · Physics 2016-01-19 T. Lappi , H. Mäntysaari

We investigate logarithmically enhanced electromagnetic corrections of all angular observables in inclusive B -> X_s l^+ l^-. We present analytical results, which are supplemented by a dedicated Monte Carlo study on the treatment of…

High Energy Physics - Phenomenology · Physics 2015-07-03 Tobias Huber , Tobias Hurth , Enrico Lunghi

The measurements of the $\gamma\gamma$ and $b \bar b$ partial decay widths of an intermediate-mass Standard Model Higgs boson are among the most important goals of a future photon linear collider. While in an initially polarized $J_z=0$…

High Energy Physics - Phenomenology · Physics 2011-01-25 Michael Melles , W. James Stirling

The numerical method of dynamical low-rank approximation (DLRA) has recently been applied to various kinetic equations showing a significant reduction of the computational effort. In this paper, we apply this concept to the linear…

Numerical Analysis · Mathematics 2024-11-12 Lena Baumann , Lukas Einkemmer , Christian Klingenberg , Jonas Kusch

We consider the higher-order resummation of Sudakov double logarithms in the presence of multiple coupled gauge interactions. The associated evolution equations depend on the coupled $\beta$ functions of two (or more) coupling constants…

High Energy Physics - Phenomenology · Physics 2020-04-22 Georgios Billis , Frank J. Tackmann , Jim Talbert

We derive two coupled non-linear evolution equations corresponding to the truncation of the Balitsky infinite hierarchy of saturation equations after inclusion of dipole-dipole correlations, i.e. one step beyond the Balitsky-Kovchegov (BK)…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. A. Janik , R. Peschanski

In order to investigate corrections to the common KdV approximation to long waves, we derive modulation equations for the evolution of long wavelength initial data for a Boussinesq equation. The equations governing the corrections to the…

Analysis of PDEs · Mathematics 2009-11-07 C. Eugene Wayne , J. Douglas Wright

The perturbative QCD predicts that the growth of the gluon density at small-$x$ (high energies) should saturate, forming a Color Glass Condensate (CGC), which is described in mean field approximation by the Balitsky-Kovchegov (BK) equation.…

High Energy Physics - Phenomenology · Physics 2014-11-20 M. A. Betemps , V. P. Goncalves , J. T. de Santana Amaral

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

Using soft-collinear effective theory, the leading-log radiative electroweak corrections are written in a closed and analytical form for the hadronic cross section of Higgs production through vector boson fusion, qq->qqH, one of the most…

High Energy Physics - Phenomenology · Physics 2013-07-30 Fabio Siringo

We present numerical results on diffractive dissociation with large invariant mass diffractive final states in the scattering of an electron off a hadron. The diffractive large-mass resummation is performed using the nonlinear…

High Energy Physics - Phenomenology · Physics 2023-08-15 Tuomas Lappi , Anh Dung Le , Heikki Mäntysaari

We explore the subleading-N_c corrections to the large-N_c Balitsky-Kovchegov (BK) evolution equation by comparing its solution to that of the all-N_c Jalilian-Marian-Iancu-McLerran-Weigert-Leonidov-Kovner (JIMWLK) equation. In earlier…

High Energy Physics - Phenomenology · Physics 2009-11-19 Yuri V. Kovchegov , Janne Kuokkanen , Kari Rummukainen , Heribert Weigert

I present higher-order radiative corrections from collinear and soft gluon emission for the associated production of a charged Higgs boson with a $W$ boson. The calculation uses expressions from resummation at next-to-leading-logarithm…

High Energy Physics - Phenomenology · Physics 2018-02-07 Nikolaos Kidonakis

The QCD dipole picture allows to build an unified theoretical description -based on BFKL dynamics- of the total and diffractive nucleon structure functions measured at HERA. We use a four parameter fit to describe the 1994 H1 proton…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Royon

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

In this paper we developed approach based on the BFKL evolution in $\ln\Lb Q^2\Rb$. We show that the simplest diffusion approximation with running QCD coupling is able to describe the HERA experimental data on the deep inelastic structure…

High Energy Physics - Phenomenology · Physics 2015-06-16 Eugene Levin , Irina Potashnikova

Forward jet and multijet production has been measured at low Bjorken x at HERA. The measured cross sections and correlations were compared to predictions from DGLAP-based fixed-order calculations. Further comparisons were made to…

High Energy Physics - Experiment · Physics 2007-06-21 Thomas Erik Danielson