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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…

高能物理 - 唯象学 · 物理学 2008-11-26 Markus Diehl , Wolfgang Kugler

We suggest a new procedure for extrapolating the parton distributions from HERA energies to higher energies at THERA and LHC. The procedure suggested consists of two steps: first, we solve the non-linear evolution equation which includes…

高能物理 - 唯象学 · 物理学 2014-11-17 M. Lublinsky , E. Gotsman , E. Levin , U. Maor

WE propose a new unified evolution equation for parton distribution functions appropriate for both large and small Bjorken x. Compared with the Ciafaloni- Catani-Fiorani-Marchesini equation, the cancellation of soft poles between virtual…

高能物理 - 唯象学 · 物理学 2007-05-23 Jyh-Liong Lim

The Kwiecinski evolution of unintegrated parton distributions (UPDs) in the transverse-coordinate space is analyzed with the help of the Mellin transform. Numerical results are presented for the unintegrated pion distributions with a simple…

高能物理 - 唯象学 · 物理学 2007-05-23 Wojciech Broniowski , Enrique Ruiz Arriola

In this thesis we consider the polarized deep inelastic scattering in the region of low values of Bjorken variable, $x$. We formulate the evolution equations for the unintegrated parton distributions which include a complete resummation of…

高能物理 - 唯象学 · 物理学 2007-05-23 B. Ziaja

A NNLO analysis of certain logarithmic expansions, developed for precision studies of the evolution of the QCD parton distributions (pdf) at the Large Hadron Collider, is presented. We elaborate on their relations to all the solutions of…

高能物理 - 唯象学 · 物理学 2010-03-25 Alessandro Cafarella , Claudio Coriano' , Marco Guzzi

The solution of QCD equations for generating functions of {\it parton} multiplicity distributions reveals new peculiar features of cumulant moments oscillating as functions of their rank. It happens that experimental data on {\it hadron}…

高能物理 - 唯象学 · 物理学 2007-05-23 I. M. Dremin

We present a calculation of valence double parton distributions of the pion in the framework of chiral quark models. The result obtained at the low-energy quark model scale is particularly simple, where in the chiral limit a factorized form…

高能物理 - 唯象学 · 物理学 2020-06-18 Wojciech Broniowski , Enrique Ruiz Arriola

In this paper, we discuss the algorithms used in the LO evolution program for nondiagonal parton distributions in the DGLAP region and discuss the stability of the code. Furthermore, we demonstrate that we can reproduce the case of the LO…

高能物理 - 唯象学 · 物理学 2007-05-23 Andreas Freund , Vadim Guzey

We analize the renormalization group equations of supersymmetric QCD with N=1 for the evolution of parton distributions. For this purpose we develope a simple recursive algorithm in x-space to include both regular regions and supersymmetric…

高能物理 - 唯象学 · 物理学 2014-11-17 Claudio Coriano

We present a technique for implementing in a fast way, and without any approximations, higher-order calculations of partonic cross sections into global analyses of parton distribution functions. The approach, which is set up in…

高能物理 - 唯象学 · 物理学 2009-11-07 M. Stratmann , W. Vogelsang

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),…

统计计算 · 统计学 2021-12-20 Katherine A. L. Valeriano , Christian E. Galarza , Larissa A. Matos

We present an analytical solution for the evolution of parton distributions incorporating mixed-order QCD $\otimes$ QED corrections, addressing both polarized and unpolarized cases. Using the Altarelli-Parisi kernels extended to mixed…

高能物理 - 唯象学 · 物理学 2026-02-16 Daniel de Florian , Lucas Palma Conte

Nuclear parton distributions $f_A(x,Q^2)$ are studied within a framework of the DGLAP evolution. Measurements of $F_2^A/F_2^D$ in deep inelastic $lA$ collisions, and Drell--Yan dilepton cross sections measured in $pA$ collisions are used as…

高能物理 - 唯象学 · 物理学 2015-06-25 K. J. Eskola , V. J. Kolhinen , P. V. Ruuskanen , C. A. Salgado

Within the framework of generalized factorization of higher-twist contributions, including modification to splitting functions of both quark and gluon, we get and numerically resolve the medium-modified DGLAP (mDGLAP) evolution equations.…

核理论 · 物理学 2011-09-30 Wei-Tian Deng , Ning-Bo Chang , Xin-Nian Wang

Expressions are given for the truncated fractional moments $E X_+^p$ of a general stable law. These involve families of special functions that arose out of the study of multivariate stable densities and probabilities. As a particular case,…

概率论 · 数学 2017-09-06 John P. Nolan

Exploiting an evolution scheme for parton distribution functions (DFs) that is all-orders exact, contemporary lattice-QCD (lQCD) results for low-order Mellin moments of the pion valence quark DF are shown to be mutually consistent. The…

高能物理 - 唯象学 · 物理学 2023-11-16 Ya Lu , Yin-Zhen Xu , Khépani Raya , Craig D. Roberts , José Rodríguez-Quintero

We show that Mellin moments of generalized parton distributions, given as even polynomials in the skewness parameter, are obtained from the Taylor expansion of light front wave functions. Furthermore, we derive non-standard versions of the…

高能物理 - 唯象学 · 物理学 2017-11-29 Dieter Müller

Using repeated Laplace transform, We find an analytical solution for DGLAP evolution equations for extracting the pion, kaon and proton Fragmentation Functions (FFs) at NLO approximation. We also study the symmetry breaking of the sea…

高能物理 - 唯象学 · 物理学 2025-12-12 M. Zareei , F. Taghavi-Shahri , S. Atashbar Tehrani , M. Sarbishei

We present an analytical method to solve the leading order (LO) Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations, which describe how parton distribution functions (PDFs) vary through different energy scales. Our…

高能物理 - 唯象学 · 物理学 2023-04-21 Matthew Markovych , Asli Tandogan