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We study the splitting functions for the evolution of fragmentation distributions and the coefficient functions for single-hadron production in semi-inclusive electron-positron annihilation in massless perturbative QCD for small values of…

High Energy Physics - Phenomenology · Physics 2015-06-05 C. -H. Kom , A. Vogt , K. Yeats

The nucleon mass corrections are calculated to all polarized structure functions for neutral and charged current deep inelastic scattering in lowest order in the coupling constant. The impact of the target mass corrections on the general…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Blumlein , A. Tkabladze

A review on the theoretical aspects and the experimental results of polarized deep inelastic scattering and of other hard scattering processes is presented. The following items are discussed: longitudinally polarized structure functions,…

High Energy Physics - Phenomenology · Physics 2011-01-25 Bodo Lampe , Ewald Reya

It is well-known that direct analytic continuation of DGLAP evolution kernel (splitting functions) from space-like to time-like kinematics breaks down at three loops. We identify the origin of this breakdown as splitting functions are not…

High Energy Physics - Phenomenology · Physics 2021-02-24 Hao Chen , Tong-Zhi Yang , Hua Xing Zhu , Yu Jiao Zhu

The lowest two Mellin moments of hadronic Generalized Parton Distributions are explored within a model that allows investigation of the inter-related quark and gluon contributions. For light quarks their dynamical connection is strong due…

High Energy Physics - Phenomenology · Physics 2023-06-14 Peter C. Tandy

We summarize the method of calculating Mellin moments of deep-inelastic structure functions in perturbative QCD. We briefly discuss all steps to a complete analytical reconstruction of the perturbative corrrections in x-space.

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Moch , J. A. M. Vermaseren

We discuss the structure of the ``forward visible'' (FW) parts of double and skewed distributions related to usual distributions through reduction relations. We use factorized models for double distributions (DDs) f(x, alpha) in which one…

High Energy Physics - Phenomenology · Physics 2014-11-17 I. V. Musatov , A. V. Radyushkin

We present a first study of gluonic twist-four corrections to the deep inelastic structure function F_2 at small x and small Q^2. The calculations are based upon the double logarithmic approximation of the coupled twist-four evolution…

High Energy Physics - Phenomenology · Physics 2009-10-31 Jochen Bartels , Claas Bontus

The Drell-Hearn-Gerasimov and Bjorken sum rules are special examples of dispersive sum rules for the spin-dependent structure function G_1(\nu, Q^2) at Q^2=0 and \infty. We generalize these sum rules through studying the virtual-photon…

High Energy Physics - Phenomenology · Physics 2008-11-26 Xiangdong Ji , Jonathan Osborne

The QCD-coupling is a necessary input in the computation of many observables, and the parametric error on input parameters can be a dominant source of uncertainty. The coupling can be extracted by comparing high order perturbative…

High Energy Physics - Lattice · Physics 2022-03-16 Leonardo Chimirri , Rainer Sommer

We show transverse-momentum-dependent parton distribution functions (TMDs) for spin-1 hadrons including twist-3 and 4 functions by taking the decomposition of a quark correlation function in the Lorentz-invariant way with the conditions of…

High Energy Physics - Phenomenology · Physics 2021-08-04 S. Kumano , Qin-Tao Song

We compute the pion Generalized Parton Distribution (GPD) in a valence dressed quarks approach. We model the Mellin moments of the GPD using Ans\"atze for Green functions inspired by the numerical solutions of the Dyson-Schwinger Equations…

High Energy Physics - Phenomenology · Physics 2016-03-23 C. Mezrag

We study the $W^+W^-$ and $Z^0Z^0$ electroweak boson production in double parton scattering using QCD evolution equations for double parton distributions. In particular, we analyze the impact of splitting terms in the evolution equations on…

High Energy Physics - Phenomenology · Physics 2014-12-03 Krzysztof Golec-Biernat , Emilia Lewandowska

We will give an outline of the computation of the QCD corrections to the spin structure function g_1(x,Q^2) and the spin fragmentation function g_1^H(x,Q^2) which are measured in deep inelastic electron-proton scattering and in…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. L. van Neerven

We present results on the lower moments of the nucleon generalized parton distri butions within lattice QCD using two dynamical flavors of degenerate twisted mass fermions. Our simulations are performed on lattices with three different…

High Energy Physics - Lattice · Physics 2011-07-05 C. Alexandrou , J. Carbonell , M. Constantinou , P. A. Harraud , P. Guichon , K. Jansen , C. Kallidonis , T. Korzec , M. Papinutto

Inspired by recent measurements with the CLAS detector at Jefferson Lab, we perform a self-consistent analysis of world data on the proton structure function g1 in the range 0.17 < Q2 < 30 (GeV/c)**2. We compute for the first time low-order…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Osipenko , S. Simula , W. Melnitchouk , P. Bosted , V. Burkert , E. Christy , K. Griffioen , C. Keppel , S. Kuhn , G. Ricco

This talk consists of four parts. In part one, I give an elementary discussion on constructing a Lorentz-invariant spin sum rule for the nucleon. In part two, I discuss a gauge-dependent spin sum rule, explore its relation with the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiangdong Ji

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

The explicit expressions describing the structure function g_1 at arbitrary x and Q^2 are obtained. In the first place, they combine the well-known DGLAP expressions for g_1 with the total resummation of leading logarithms of x, which makes…

High Energy Physics - Phenomenology · Physics 2007-11-30 B. I. Ermolaev , M. Greco , S. I. Troyan

We present a calculation of the twist-3 T-odd chiral-even fragmentation functions $G^{\perp}$ and $\tilde{G}^{\perp}$ using a spectator model. We consider the effect gluon exchange to calculate all necessary one-loop diagrams for the…

High Energy Physics - Phenomenology · Physics 2016-10-07 Yongliang Yang , Zhun Lu , Ivan Schmidt