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The extension of the method [arXiv:hep-ph/0503109] for solving the leading order evolution equation for Generalized Parton Distributions (GPDs) is presented. We obtain the solution of the evolution equation both for the flavor nonsinglet…

High Energy Physics - Phenomenology · Physics 2009-11-11 M. Kirch , A. Manashov , A. Schafer

Obstacles to integrability in perturbed evolution equations are overcome by allowing higher-order terms in the expansion of the solution to depend explicitly on time and position. With a special expansion algorithm, obstacles vanish…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Alex Veksler , yair zarmi

Semi-exclusive and exclusive processes are becoming more and more important in high energy physics since they are excellently suited to study the internal hadronic structure. To analyze such processes the knowledge of the hadron…

Recently exact numerical results from the evolution equation for parton multiplicities in QCD jets have been obtained. A comparison with various approximate results is presented. A good description is obtained not only of the jet…

High Energy Physics - Phenomenology · Physics 2009-10-30 Sergio Lupia , Wolfgang Ochs

The solution of the equations for the generating functions of multiplicity distributions of quark and gluon jets in higher order 3NLO perturbative QCD is obtained. The non-perturbative effects are discussed as well. The results are compared…

High Energy Physics - Phenomenology · Physics 2007-05-23 I. M. Dremin , J. Tran Thanh Van

We study the evolution behavior of generalized parton distributions at small longitudinal momentum fraction. Particular attention is paid to the ratio of a generalized parton distribution and its forward limit, to the mixing between quarks…

High Energy Physics - Phenomenology · Physics 2008-11-26 Markus Diehl , Wolfgang Kugler

The current status of global QCD analysis of parton distribution functions of the nucleon is reviewed. Recent progress made in determining various features of the parton structure of the nucleon, as well as outstanding open questions are…

High Energy Physics - Phenomenology · Physics 2009-09-29 Wu-Ki Tung

We present our recent results on the odderon intercept in perturbative QCD, obtained through the solution of the Baxter equation and investigation of the spectrum of the relevant constant of motion.

High Energy Physics - Theory · Physics 2007-05-23 Romuald A. Janik , Jacek Wosiek

We provide a brief summary of recent developments in QCD calculations in and beyond fixed-order perturbation theory, for observables in $e^{+}e^{-}$ annihilation as well as hadron collisions.

High Energy Physics - Phenomenology · Physics 2022-03-02 Mrinal Dasgupta

Using gauge invariant hadronic two- and three- density correlators we extract information on the spatial distributions of quarks in hadrons, and on hadron shape and multipole moments within quenched lattice QCD. Combined with the…

Nuclear Theory · Physics 2009-11-07 C. Alexandrou , Ph. de Forcrand , A. Tsapalis

Double hard scattering can play an important role for producing multiparticle final states in hadron-hadron collisions. The associated cross sections depend on double parton distributions, which at present are only weakly constrained by…

High Energy Physics - Phenomenology · Physics 2019-05-01 Markus Diehl , Peter Ploessl , Andreas Schafer

Iterative solution of QED evolution equations for non-singlet electron structure functions is considered. Analytical expressions in the fourth and fifth orders are presented in terms of splitting functions. Relation to the existing…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. B. Arbuzov

This thesis work summarizes studies in QCD for applications both at hadron colliders and in exclusive processes. In the first part we focus our attention on the study of the initial state scaling violations and the evolution of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Marco Guzzi

Working in the light-cone gauge, we find a simple procedure to calculate the autonomous one-loop Q^2 evolution of the twist-three part of the nucleon g_T(x, Q^2) structure function in the large-N_c limit. Our approach allows us to…

High Energy Physics - Phenomenology · Physics 2011-09-13 Xiangdong Ji , Jonathan Osborne

Evolution equations describe the effect of consecutively integrating out all quantum fluctuations with momenta larger than some infrared cutoff scale k. We develop a formalism for the introduction of collective degrees of freedom at some…

High Energy Physics - Phenomenology · Physics 2009-10-28 U. Ellwanger , C. Wetterich

A brief overview is given of some recent advances in charged-composite particle scattering. On the theoretical side, I address the three-charged particle wave function asymptotics, the nonperturbative investigation of the long-range…

Nuclear Theory · Physics 2007-05-23 Erwin O. Alt

We develop the perturbative QCD formalism for inclusive heavy hadron decays. Transverse degrees of freedom of partons are introduced to facilitate the factorization of the heavy hadron decays.

High Energy Physics - Phenomenology · Physics 2007-05-23 Hoi-Lai Yu

We extend the analysis of two-hadron fragmentation functions to the subleading twist, discussing also the issue of color gauge invariance. Our results can be used anywhere two unpolarized hadrons are semi-inclusively produced in the same…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alessandro Bacchetta , Marco Radici

This research is concerned with evolution equations and their forward-backward discretizations. Our first contribution is an estimation for the distance between iterates of sequences generated by forward-backward schemes, useful in the…

Optimization and Control · Mathematics 2019-12-16 Andres Contreras , Juan Peypouquet

We investigate the Q^2 evolution of parton distributions at small x values, obtained in the case of flat initial conditions. The results are in excellent agreement with deep inelastic scattering experimental data from HERA.

High Energy Physics - Phenomenology · Physics 2009-10-31 A. V. Kotikov , G. Parente