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We have computed the fourth-order nf^2 contributions to all three non-singlet quark-quark splitting functions and their four nf^3 flavour-singlet counterparts for the evolution of the parton distributions of hadrons in perturbative QCD with…

High Energy Physics - Phenomenology · Physics 2017-02-01 J. Davies , A. Vogt , B. Ruijl , T. Ueda , J. A. M. Vermaseren

In analogy to the Altarelli-Parisi equation for the quark and gluon helicity contributions to the nucleon spin, we derive an evolution equation for the quark and gluon orbital angular momenta. The solution of the combined equations yields…

High Energy Physics - Phenomenology · Physics 2014-11-17 X. Ji , J. Tang , P. Hoodbhoy

We report on the first calculation of the structure function g_1 in polarised deep-inelastic scattering to the third order in massless perturbative QCD. The calculation follows the dispersive approach already used for the corresponding…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Vogt , S. Moch , M. Rogal , J. A. M. Vermaseren

Using the helicity formalism, we compute the contribution of a quark-antiquark pair to the tree-level multigluon amplitudes in the high-energy limit. The $\bar{q}\, q$-pair production is absent in the leading-log formalism, but contributes…

High Energy Physics - Phenomenology · Physics 2008-11-26 Vittorio Del Duca

We consider a nonlinear evolution equation recently proposed to describe the small-$x$ hadronic physics in the regime of very high gluon density. This is a functional Fokker-Planck equation in terms of a classical random color source, which…

High Energy Physics - Phenomenology · Physics 2009-10-31 Edmond Iancu , Andrei Leonidov , Larry McLerran

We consider the renormalization group evolution for the operators in the $\Delta S=1$ effective Hamiltonian with 3 active quark flavors, which is needed in the numerical analysis of data sets for $\epsilon'/\epsilon$ calculated in lattice…

High Energy Physics - Lattice · Physics 2009-04-14 David H. Adams , Weonjong Lee

Kwiecinski, Martin, Stasto [13] argue for inclusion of DGLAP terms into BFKL evolution of unintegrated gluon density. The equation was reformulated by Oliveira, Martin, Ryskin [6] employing the opening angle {\theta} = k/xp as the evolution…

High Energy Physics - Phenomenology · Physics 2015-03-11 Dawid Toton

Within the framework of generalized factorization of higher-twist contributions to semi-inclusive cross section of deeply inelastic scattering off a large nucleus, multiple parton scattering leads to an effective medium-modified…

High Energy Physics - Phenomenology · Physics 2014-11-20 Wei-tian Deng , Xin-Nian Wang

In the heavy quarkonium decay process $ V \to ggg $ ($ V=J/\psi, \Upsilon $), making a definite prediction including relativistic corrections has so far remained a significant challenge. In this work, we study this decay process by taking…

High Energy Physics - Phenomenology · Physics 2026-03-12 Hong-Mei Jiang , Chao-Jie Fan , Jun-Kang He , Cui Kong

We employ relations between spacelike and timelike deep-inelastic processes in perturbative QCD to calculate the next-to-next-to-leading order (NNLO) contributions to the timelike quark-quark and gluon-gluon splitting functions for the…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Moch , A. Vogt

We give a brief overview of the General Parton Distributions(GPDs), including their properties, connections to conventional quantities, and relationships to physical observables. We also perform a systematic analysis on the non-forward…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zhang Chen

An analytical solution of the QCD evolution equations for the singlet and gluon distribution is presented. We decouple DGLAP evolution equations into the initial conditions by using a Laplace transform method at $N^{n}LO$ analysis. The…

High Energy Physics - Phenomenology · Physics 2019-05-13 B. Rezaei , G. R. Boroun

We calculate the quarkonic $O(\alpha_s^2)$ massive operator matrix elements $\Delta A_{Qg}(N), \Delta A_{Qq}^{\rm PS}(N)$ and $\Delta A_{qq,Q}^{\rm NS}(N)$ for the twist--2 operators and the associated heavy flavor Wilson coefficients in…

High Energy Physics - Phenomenology · Physics 2023-02-15 I. Bierenbaum , J. Blümlein , A. De Freitas , A. Goedicke , S. Klein , K. Schönwald

The universal fragmentation functions of gluon into the flavored quarkonia $B_c$ and (polarized) $B_c^*$ are computed within NRQCD factorization framework, at the lowest order in velocity expansion and strong coupling constant. It is…

High Energy Physics - Phenomenology · Physics 2022-10-12 Feng Feng , Yu Jia , Deshan Yang

We compute the two-loop helicity amplitudes for the scattering of five gluons, including all contributions beyond the leading-color approximation. The analytic expressions are represented as linear combinations of transcendental functions…

High Energy Physics - Phenomenology · Physics 2024-05-15 Giuseppe De Laurentis , Harald Ita , Maximillian Klinkert , Vasily Sotnikov

A complete numerical solution of the evolution equation for parton multiplicities in quark and gluon jets with initial conditions at threshold is presented. Data on both hadron and jet multiplicities in e+e- annihilation are well described…

High Energy Physics - Phenomenology · Physics 2009-10-30 Sergio Lupia , Wolfgang Ochs

We apply the valence quark model recently calculated for polarized proton to constrain the non-perturbative initial condition for the small-$x$ helicity evolution. The remaining free parameters are constrained by performing a global…

High Energy Physics - Phenomenology · Physics 2025-11-04 Daniel Adamiak , Heikki Mäntysaari , Yossathorn Tawabutr

Gluon dressing of the light quarks within hadrons is very strong and extremely important in that it dynamically generates most of the observable mass through the breaking of chiral symmetry. The quark and gluon parton densities, $q(x)$ and…

High Energy Physics - Phenomenology · Physics 2021-10-13 Adam Freese , Ian C. Cloët , Peter C. Tandy

With the advent of very powerful particle accelerators, such as RHIC and the LHC, it becomes possible to study QCD in high energy collisions, in which the gluon content of the proton or nucleus is probed and its density becomes often large…

High Energy Physics - Phenomenology · Physics 2017-11-13 Pieter Taels

An improved analysis method to extract quark helicity distributions in leading order (LO) QCD from semi-inclusive double spin asymmetries in deep inelastic scattering is presented. The method relies on the fact that fragmentation functions,…

Data Analysis, Statistics and Probability · Physics 2017-03-28 Jörg Pretz