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We explain particular, unique, approximate solutions of the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations and also solutions of DGLAP evolution equations by using regge behaviour of structure functions and method of…

高能物理 - 唯象学 · 物理学 2010-05-07 R. Rajkhowa

The method of non-perturbative renormalization group (NPRG) is applied to the analysis of dynamical chiral symmetry breaking (DCSB) in QCD. We show that the DCSB solution of the NPRG flow equation can be obtained without the bosonization.…

高能物理 - 理论 · 物理学 2017-08-23 Ken-Ichi Aoki , Daisuke Sato

Results for the two real parton differential distributions needed for implementing a next-to-leading order (NLO) parton shower Monte Carlo are presented. They are also integrated over the phase space in order to provide solid numerical…

高能物理 - 唯象学 · 物理学 2011-08-10 S. Jadach , A. Kusina , M. Skrzypek , M. Slawinska

QCD in non-integer $d=4-2\epsilon$ space-time dimensions enjoys conformal invariance at the special fine-tuned value of the coupling. Counterterms for composite operators in minimal subtraction schemes do not depend on $\epsilon$ by…

高能物理 - 唯象学 · 物理学 2019-03-27 V. M. Braun , A. N. Manashov , S. Moch , M. Strohmaier

Let $S$ be a semi direct product $S=N\rtimes A$ where $N$ is a connected and simply connected, non-abelian, nilpotent meta-abelian Lie group and $A$ is isomorphic with $\R^k,$ $k>1.$ We consider a class of second order left-invariant…

泛函分析 · 数学 2014-03-24 Richard Penney , Roman Urban

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

The coefficients of the nonlinear terms in a modified Altarelli-Parisi evolution equation with parton recombination are determined in the leading logarithmic ($Q^2$) approximation. The results are valid in the whole $x$ region and contain…

高能物理 - 唯象学 · 物理学 2013-10-03 Wei Zhu , Jianhong Ruan

We propose an evolution equation for unintegrated gluon densities that is valid for large values of the QCD coupling constant $\bar{\alpha} _s$. Our approach is based on the linear resummation model introduced by Sta\'{s}to. We generalize…

高能物理 - 唯象学 · 物理学 2014-02-04 Krzysztof Kutak , Piotr Surówka

A survey is given of recent developments on the resummed small-$x$ evolution, in a framework based on the renormalization group equation, of non--singlet and singlet structure functions in both unpolarized and polarized deep--inelastic…

高能物理 - 唯象学 · 物理学 2015-06-25 J. Blümlein , S. Riemersma , A. Vogt

We perform a renormalization group (RG) analysis of collinear hadron production in deep inelastic scattering on nuclei. We consider the limit where the parent parton energy $E$ is large, while the medium opacity $L/\lambda_g$ remains small.…

高能物理 - 唯象学 · 物理学 2024-05-24 Weiyao Ke , Ivan Vitev

The single renormalon-chain contribution to the correlator of scalar currents in QCD is calculated in the $\bar{MS}$-scheme in the limit of a large $N_f$. We find that in the factorial growth of the coefficients due to renormalons takes…

高能物理 - 唯象学 · 物理学 2008-11-26 D. J. Broadhurst , A. L. Kataev , C. J. Maxwell

We show that the saturation exponent is more effective than the hard pomeron exponent in the nonlinear terms for the GLR-MQ evolution equations. For the gluon distribution the nonlinear terms are found to play an increasingly important role…

高能物理 - 唯象学 · 物理学 2023-08-01 G. R. Boroun

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 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

We present a new QCD evolution library for unpolarized parton distribution functions: EKO. The program solves DGLAP equations up to next-to-next-to-leading order. The unique feature of EKO is the computation of solution operators, which are…

高能物理 - 唯象学 · 物理学 2022-11-15 Alessandro Candido , Felix Hekhorn , Giacomo Magni

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

Recently, we have developed a formalism to evaluate QCD loop diagrams with a single virtual gluon using a running coupling constant at the vertices. This corresponds to an all-order resummation of certain terms (the so-called renormalon…

高能物理 - 唯象学 · 物理学 2008-02-03 Matthias Neubert

It is shown that exact, amplitude-based resummation allows IR-improvement of the usual DGLAP theory. This results in a new set of kernels, parton distributions and attendant reduced cross sections, so that the QCD perturbative result for…

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

We propose to modify the saturation model of Golec-Biernat and Wusthoff by including DGLAP evolution. We find considerable improvement for the total deep inelastic cross section, in particular in the large Q^2 region. The successful…

高能物理 - 唯象学 · 物理学 2010-03-25 J. Bartels , K. Golec-Biernat , H. Kowalski

The use of conformal expansions for predictions in quantum chromodynamics is discussed as a way to avoid renormalization scheme and scale ambiguities, as well as factorial growth of perturbative coefficients due to renormalons. Special…

高能物理 - 唯象学 · 物理学 2007-05-23 Johan Rathsman