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We study the large-x behaviour of the physical evolution kernels for flavour non-singlet observables in deep-inelastic scattering, where x is the Bjorken variable, semi-inclusive e^+ e^- annihilation and Drell-Yan lepton-pair production.…

高能物理 - 唯象学 · 物理学 2009-12-04 S. Moch , A. Vogt

In this paper we present a new and efficient analytical solutions for evolving the QED$\otimes$QCD DGLAP evolution equations in mellin space and obtain the parton distribution functions (PDFs) in perturbative QCD including the QED…

高能物理 - 唯象学 · 物理学 2017-10-04 Marzieh Mottaghizadeh , Fatemeh Taghavi Shahri , Parvin Eslami

We recently derived an explicit expression for the gluon distribution function G(x, Q^2) = xg(x, Q^2) in terms of the proton structure function F_2^{\gamma p} (x, Q^2) in leading-order (LO) QCD by solving the the LO DGLAP equation for the…

高能物理 - 唯象学 · 物理学 2010-03-25 Martin M. Block , Loyal Durand , Douglas W. McKay

Using repeated Laplace transform techniques, along with newly-developed accurate numerical inverse Laplace transform algorithms, we transform the coupled, integral-differential NLO singlet DGLAP equations first into coupled differential…

高能物理 - 唯象学 · 物理学 2015-03-17 Martin M. Block , Loyal Durand , Phuoc Ha , Douglas W. McKay

Renormalization group evolution equations describing the scale dependence of quantities in quantum chromodynamics (QCD) play a central role in the interpretation of experimental data. Arguably the most important evolution equations for…

高能物理 - 唯象学 · 物理学 2022-10-20 Hao Chen , Max Jaarsma , Yibei Li , Ian Moult , Wouter J. Waalewijn , Hua Xing Zhu

Away from the strictly soft and collinear limit of QCD radiation the choice of evolution scale in a parton shower algorithm is ambiguous and several options have been implemented in existing Monte Carlo event generators for proton-proton…

高能物理 - 唯象学 · 物理学 2022-09-23 Adam Takacs , Daniel Pablos , Konrad Tywoniuk

In the first chapter we give an introduction to hard diffractive scattering in QCD to introduce basic concepts and terminology. In the second chapter we make predictions for the evolution of skewed parton distributions in a proton in the…

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

We present numerical solutions of the $Q^2$ evolution equations at next-to-leading order (NLO) for unpolarized and polarized parton distributions, in both the flavor non-singlet and singlet channels. The numerical method is based on a…

高能物理 - 唯象学 · 物理学 2009-10-28 T. Weigl , W. Melnitchouk

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

Using the NMC and E665 nuclear structure function ratios $F_2^A/F_2^D$ and $F_2^A/F_2^{C}$ from deep inelastic lepton-nucleus collisions, and the E772 Drell--Yan dilepton cross sections from proton-nucleus collisions, and incorporating…

高能物理 - 唯象学 · 物理学 2014-11-17 K. J. Eskola , V. J. Kolhinen , P. V. Ruuskanen

Studies on jet substructure have evolved significantly in recent years. Jet substructure is essentially determined by QCD radiations and non-perturbative effects. Predictions of jet substructure are usually different among Monte Carlo event…

高能物理 - 唯象学 · 物理学 2015-09-30 Yasuhito Sakaki

We calculate transverse momentum dependent quark splitting kernels $P_{gq}$ and $P_{qq}$ within $k_T$-factorization, completing earlier results which concentrated on gluon splitting functions $P_{gg}$ and $P_{qg}$. The complete set of…

高能物理 - 唯象学 · 物理学 2016-03-23 Oleksandr Gituliar , Martin Hentschinski , Krzysztof Kutak

Monte Carlo event generators for hard hadronic collisions depend on the evolution of parton showers backwards from a high-scale subprocess to the hadronization scale. The evolution is treated as a branching process with a sequence of…

高能物理 - 唯象学 · 物理学 2024-04-16 Stefano Frixione , Bryan R. Webber

Parton densities are obtained from a solution of the extended DGLAP-type evolution equation that includes both QCD and electroweak contributions. The equations are solved using the Parton-Branching (PB) approach, and the evolution is…

高能物理 - 唯象学 · 物理学 2025-11-12 K. Moral Figueroa , E. Gallo , H. Jung , S. Taheri Monfared

The $Q^2$ dependence of the ratios of the cross sections of deep inelastic lepton--nucleus scattering is studied in the framework of leading twist, lowest order perturbative QCD. The $\log Q^2$ slope of the ratio $F_2^{\rm Sn}/F_2^{\rm C}$…

高能物理 - 唯象学 · 物理学 2017-08-23 K. J. Eskola , H. Honkanen , V. J. Kolhinen , C. A. Salgado

The evolution kernels that govern the scale dependence of the generalized parton distributions are invariant under transformations of the $\mathrm{SL}(2,\mathrm R)$ collinear subgroup of the conformal group. Beyond one loop the symmetry…

高能物理 - 唯象学 · 物理学 2024-04-01 Yao Ji , Alexander Manashov , Sven-Olaf Moch

We derive an evolution equation describing the high energy behavior of the cross section for the single diffractive dissociation in deep inelastic scattering on a hadron or a nucleus. The evolution equation resums multiple BFKL pomeron…

高能物理 - 唯象学 · 物理学 2009-10-31 Yuri V. Kovchegov , Eugene Levin

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

We present a set of formulas to extract two second-order independent differential equations for the gluon and singlet distribution functions. Our results extend from the LO up to NNLO DGLAP evolution equations with respect to the…

高能物理 - 唯象学 · 物理学 2014-02-04 G. R. Boroun , B. Rezaei

This work reviews recent developments in the Parton Branching (PB) method, focusing on its application to Transverse Momentum Dependent (TMD) parton distributions and the implementation of TMD evolution equations in Monte Carlo generators.…

高能物理 - 唯象学 · 物理学 2024-12-19 S. Taheri Monfared