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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

An analytical method is presented to solve generalized QCD evolution equations for the time development of parton cascades in a nuclear environment. Closed solutions for the spectra of produced partons with respect to the variables time,…

High Energy Physics - Phenomenology · Physics 2011-07-19 K. Geiger

We study parton-branching solutions of QCD evolution equations and present a method to construct both collinear and transverse momentum dependent (TMD) parton densities from this approach. We work with next-to-leading-order (NLO) accuracy…

High Energy Physics - Phenomenology · Physics 2018-02-14 F. Hautmann , H. Jung , A. Lelek , V. Radescu , R. Zlebcik

I present a highly efficient method for evolving parton distributions in perturbative QCD. The method allows evolving the parton distribution functions according to any of the commonly-used truncations of the evolution equations (which…

High Energy Physics - Phenomenology · Physics 2014-11-17 David A. Kosower

An earlier extraction from the HERMES experiment of the polarization-averaged parton distribution of strange quarks in the nucleon has been reevaluated using final data on the multiplicities of charged kaons in semi-inclusive deep-inelastic…

High Energy Physics - Experiment · Physics 2014-06-16 The HERMES Collaboration , A. Airapetian , N. Akopov , Z. Akopov , E. C. Aschenauer , W. Augustyniak , A. Avetissian , E. Avetisyan , S. Belostotski , H. P. Blok , A. Borissov , V. Bryzgalov , J. Burns , M. Capiluppi , G. P. Capitani , E. Cisbani , G. Ciullo , M. Contalbrigo , P. F. Dalpiaz , W. Deconinck , R. De Leo , E. De Sanctis , M. Diefenthaler , P. Di Nezza , M. Düren , M. Ehrenfried , G. Elbakian , F. Ellinghaus , E. Etzelmüller , L. Felawka , S. Frullani , D. Gabbert , G. Gapienko , V. Gapienko , J. Garay García , F. Garibaldi , G. Gavrilov , V. Gharibyan , F. Giordano , S. Gliske , M. Hartig , D. Hasch , M. Hoek , Y. Holler , I. Hristova , H. E. Jackson , S. Joosten , R. Kaiser , G. Karyan , T. Keri , E. Kinney , A. Kisselev , V. Korotkov , V. Kozlov , P. Kravchenko , V. G. Krivokhijine , L. Lagamba , L. Lapikás , I. Lehmann , P. Lenisa , W. Lorenzon , B. -Q. Ma , D. Mahon , S. I. Manaenkov , Y. Mao , B. Marianski , H. Marukyan , Y. Miyachi , A. Movsisyan , V. Muccifora , M. Murray , A. Mussgiller , Y. Naryshkin , A. Nass , M. Negodaev , W. -D. Nowak , L. L. Pappalardo , R. Perez-Benito , A. Petrosyan , P. E. Reimer , A. R. Reolon , C. Riedl , K. Rith , G. Rosner , A. Rostomyan , J. Rubin , D. Ryckbosch , Y. Salomatin , A. Schäfer , G. Schnell , B. Seitz , T. -A. Shibata , M. Stahl , M. Statera , E. Steffens , J. J. M. Steijger , F. Stinzing , S. Taroian , A. Terkulov , R. Truty , A. Trzcinski , M. Tytgat , Y. Van Haarlem , C. Van Hulse , D. Veretennikov , V. Vikhrov , I. Vilardi , C. Vogel , S. Wang , S. Yaschenko , Z. Ye , S. Yen , B. Zihlmann , P. Zupranski

We elaborate a cut (truncated) Mellin moments (CMM) approach that is constructed to study deep inelastic scattering in lepton-hadron collisions at the natural kinematic constraints. We show that generalized CMM obtained by multiple…

High Energy Physics - Theory · Physics 2015-06-19 D. Kotlorz , S. V. Mikhailov

We investigate the Q^2 evolution of parton distributions at small x values, obtained in the case of flat initial conditions. The contributions of twist-two and (renormalon-type) higher-twist operators of the Wilson operator product…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Kotikov , G. Parente

This thesis is devoted to the study of some aspects of perturbative QCD, and in particular to the development of high-precision techniques for the extraction of physical parameters such as structure functions, parton distributions, and the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrea Piccione

We demonstrate advantages of the truncated Mellin moments (TMM) approach in the analysis of DIS data. We present a novel method for determination of the Bjorken sum rule (BSR) from restricted in $x$ variable experimental data. We show how…

High Energy Physics - Phenomenology · Physics 2020-07-24 D. Strozik-Kotlorz , S. V. Mikhailov , O. V. Teryaev , A. Kotlorz

We investigate the evolution of parton densities at small values of the momentum fraction, x, by including resummed anomalous dimensions in the renormalization group equations. The resummation takes into account the leading-logarithmic…

High Energy Physics - Phenomenology · Physics 2016-09-01 R. K. Ellis , F. Hautmann , B. R. Webber

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

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Kotikov , G. Parente

The evolution of shower parton distributions in a jet is investigated in the framework of quark recombination model. The distributions are parameterized and the $Q^2$ dependence of the parameters is given by polynomials of $\ln Q^2$ for a…

Nuclear Theory · Physics 2009-11-11 Z. G. Tan , C. B. Yang

We shown the general approach for Q2 evolution of parton densities and fragmentation functions at low x based on the diagonalization. The diagonalization leads to the two components in the Q2 evolution, each of which contains a…

High Energy Physics - Phenomenology · Physics 2015-02-26 Anatoly Kotikov

A new type of parametrization for parton distribution functions in a proton, based on their $Q^2$-evolution at large and small $x$ values, is constructed. In our analysis, the valence and nonsinglet parts obey the Gross-Llewellyn-Smith and…

High Energy Physics - Phenomenology · Physics 2022-11-01 N. A. Abdulov , A. V. Kotikov , A. V. Lipatov

Nuclear parton distributions are studied in a parton model with rescaling and recombination mechanisms. Parton x distributions are first calculated at Q^2=1 GeV^2 by the model, and they are evolved to larger Q^2 in order to be compared with…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Kumano , K. Umekawa

This paper proposes an algorithm to generate random numbers from any member of the truncated multivariate elliptical family of distributions with a strictly decreasing density generating function. Based on Neal (2003) and Ho et al. (2012),…

Computation · Statistics 2021-12-20 Katherine A. L. Valeriano , Christian E. Galarza , Larissa A. Matos

We derive the evolution equations of parton distribution functions appropriate in different kinematic regions in a unified and simple way using the resummation technique. They include the Gribov-Lipatov-Altarelli-Parisi equation for large…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hsiang-nan Li

Starting with the interpretation of parton evolution with rapidity as a branching-diffusion process, we describe the different kinds of fluctuations of the density of partons which affect the properties of QCD scattering amplitudes at…

High Energy Physics - Phenomenology · Physics 2014-09-16 A. H. Mueller , S. Munier

The $Q^2$ evolution of polarised parton distributions at small $x$ is studied. Various analytic approximations are critically discussed. We compare the full evolution with that obtained from the leading-pole approximation to the splitting…

High Energy Physics - Phenomenology · Physics 2014-11-17 T. Gehrmann , W. J. Stirling

We compute non-perturbatively the evolution of the twist-2 operators corresponding to the average momentum of non-singlet quark densities. The calculation is based on a finite-size technique, using the Schr\"odinger Functional, in quenched…

High Energy Physics - Lattice · Physics 2009-11-10 A. Shindler , M. Guagnelli , K. Jansen , F. Palombi , R. Petronzio , I. Wetzorke