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The modified evolution equation for parton distributions of Dokshitzer, Marchesini and Salam is extended to non-singlet Deep Inelastic Scattering coefficient functions and the physical evolution kernels which govern their scaling violation.…

高能物理 - 唯象学 · 物理学 2014-11-20 Georges Grunberg

The scale-dependent dipole-pion cross section is analyzed as a function of the dipole size $r$ and the impact parameter $b$. This analysis relies on the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equation in ${\mu}{\sim}…

高能物理 - 唯象学 · 物理学 2025-07-16 G. R. Boroun , B. Z. Kopeliovich

In a consistently formulated pQCD framework incorporating non-zero mass heavy quark partons, there is still the freedom to define parton distributions obeying either mass-independent or mass-dependent evolution equations, contrary to…

高能物理 - 唯象学 · 物理学 2009-10-30 Fredrick I. Olness , Randall J. Scalise

Understanding the scale dependence of parton distribution functions is vital for precision physics at hadron colliders. The well-known DGLAP evolution equation relates this scale dependence to the QCD splitting functions, which can be…

高能物理 - 唯象学 · 物理学 2025-09-03 S. Van Thurenhout , G. Falcioni , F. Herzog , S. Moch

We recalculate the next-to-leading order Altarelli-Parisi kernel using a method which relates it to the splitting amplitudes describing the collinear factorization properties of scattering amplitudes. The method breaks up the calculation of…

高能物理 - 唯象学 · 物理学 2014-11-17 David A. Kosower , Peter Uwer

We discuss the NLO evolution of quark transversity densities and of the parton distribution function for linearly polarized gluons in a linearly polarized hadron. A supersymmetric relation between the NLO evolution kernels for transversity…

高能物理 - 唯象学 · 物理学 2007-05-23 Werner Vogelsang

Perturbative solutions for unpolarized QED parton distribution and fragmentation functions are presented explicitly in the next-to-leading logarithmic approximation. The scheme of iterative solution of QED evolution equations is described…

高能物理 - 唯象学 · 物理学 2023-09-06 A. B. Arbuzov , U. E. Voznaya

The contributions to non-singlet evolution kernels $P(z)$ for the DGLAP equation and $V(x,y)$ for the Brodsky-Lepage evolution equation are calculated for certain classes of diagrams which include the renormalon chains. Closed expressions…

高能物理 - 唯象学 · 物理学 2009-10-30 S. V. Mikhailov

We have calculated the splitting functions governing the evolution of the unpolarized parton distributions of the photon at the next-to-next-to-leading order (NNLO) of massless perturbative QCD. The results, presented here mainly in terms…

高能物理 - 唯象学 · 物理学 2007-05-23 A. Vogt , S. Moch , J. Vermaseren

We show that it is possible to improve the infrared aspects of the standard treatment of the DGLAP evolution theory to take into account a large class of higher order corrections that significantly improve the precision of the theory for…

高能物理 - 唯象学 · 物理学 2010-03-25 B. F. L. Ward

The scale evolution of parton distributions is governed by splitting functions. We compute the four-loop splitting functions in perturbative QCD that control the evolution of quark non-singlet distributions. We confirm previous partial…

高能物理 - 唯象学 · 物理学 2026-04-27 Thomas Gehrmann , Andreas von Manteuffel , Vasily Sotnikov , Tong-Zhi Yang

The modified evolution equation for parton distributions of Dokshitzer, Marchesini and Salam is extended to non-singlet Deep Inelastic Scattering coefficient functions and the physical evolution kernels which govern their scaling violation.…

高能物理 - 唯象学 · 物理学 2010-11-19 Georges Grunberg

The leading order evolution of parton orbital angular momenta is treated in the probabilistic manner. As a result, the splitting probability matrix, while coinciding with the recent explicit calculations, is expressed in the terms of the…

高能物理 - 唯象学 · 物理学 2007-05-23 O. V. Teryaev

This article presents differential equations and solution methods for the functions of the form $Q(x) = F^{-1}(G(x))$, where $F$ and $G$ are cumulative distribution functions. Such functions allow the direct recycling of Monte Carlo samples…

计算金融 · 定量金融 2011-12-08 William T. Shaw , Thomas Luu , Nick Brickman

We revisit the evolution of generalised parton distributions (GPDs) at the leading order in the strong coupling constant $\alpha_s$ for all of the twist-2 quark and gluon operators. We rederive the relevant one-loop evolution kernels,…

高能物理 - 唯象学 · 物理学 2024-02-16 Valerio Bertone , Rafael F. del Castillo , Miguel G. Echevarria , Óscar del Río , Simone Rodini

In this paper we have solved the nonlinear Gribov-Levin-Ryskin-Mueller-Qiu (GLR-MQ) evolution equation for gluon distribution function G(x,Q^2) and studied the effects of the nonlinear GLR-MQ corrections to the Leading Order (LO)…

高能物理 - 唯象学 · 物理学 2014-02-24 Mayuri Devee , J. K. Sarma

The factorization theorem for $q_T$ spectra in Drell-Yan processes, boson production and semi-inclusive deep inelastic scattering allows for the determination of the non-perturbative parts of transverse momentum dependent parton…

高能物理 - 唯象学 · 物理学 2015-06-23 Umberto D'Alesio , Miguel G. Echevarría , Stefano Melis , Ignazio Scimemi

A model for nuclear medium modification of parton densities is presented. The approach is based on the global analysis of available deep inelastic scattering data for different nuclear targets within the rescaling model combined with taking…

高能物理 - 唯象学 · 物理学 2025-10-13 A. V. Kotikov , A. V. Lipatov

The modification of the hard core of jets in a dense QCD medium is studied. In particular, we consider partons which possess a virtuality somewhat larger than the multiple scattering scale of the medium ($\hat{q} \tau$, where $\hat{q}$ is…

高能物理 - 唯象学 · 物理学 2021-01-12 Shanshan Cao , Chathuranga Sirimanna , Abhijit Majumder

Within the framework of a high-twist approach, we show the first complete next-to-leading order calculation of transverse momentum broadening in semi-inclusive deeply inelastic $e+A$ scattering and Drell-Yan dilepton production in $p+A$…

高能物理 - 唯象学 · 物理学 2015-03-09 Hongxi Xing , Zhong-Bo Kang , Enke Wang , Xin-Nian Wang