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The path-integral formulation of the hadronic tensor W_{\mu\nu} of deep inelastic scattering is reviewed. It is shown that there are 3 gauge invariant and topologically distinct contributions. The separation of the connected sea partons…

High Energy Physics - Phenomenology · Physics 2016-03-25 Keh-Fei Liu

We revise the relation between Parton Distribution Functions (PDFs) and matrix elements computable from lattice QCD, focusing on the quasi-Parton Distribution Functions (qPDFs) approach. We exploit the relation between PDFs and qPDFs in the…

High Energy Physics - Phenomenology · Physics 2020-01-08 Krzysztof Cichy , Luigi Del Debbio , Tommaso Giani

We present a factorization formula for valence quark distributions in a hadron in x-->1 limit. For the example of pion, we arrive at the form of factorization by analyzing momentum flow in the leading and high-order Feynman diagrams. The…

High Energy Physics - Phenomenology · Physics 2010-04-05 Xiangdong Ji , Jian-Ping Ma , Feng Yuan

Informations about the spatial structure of parton distribution within the hadron are provided by the ratios between the inclusive cross sections for a pair of jets, two pairs of jets, three pairs of jets..., and so on. It results, however…

High Energy Physics - Phenomenology · Physics 2007-05-23 Giorgio Calucci , Marco Dazzi Giorgio Calucci , Marco Dazzi

Parton distribution functions (DFs) are defining expressions of hadron structure. Exploiting the role of effective charges in quantum chromodynamics, an algebraic scheme is described which, given any hadron's valence parton DFs at the…

High Energy Physics - Phenomenology · Physics 2023-06-07 Pei-Lin Yin , Yin-Zhen. XuID , Zhu-Fang Cui , Craig D. Roberts , José Rodríguez-Quintero

A simple model is presented for the parton distributions in hadrons. The parton momenta in the hadron rest frame are derived from a spherically symmetric, Gaussian, distribution having a width motivated by the Heisenberg uncertainty…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Edin , G. Ingelman

We perform a first calculation for the unpolarized parton distribution function of the $\Delta^+$ baryon using lattice QCD simulations within the framework of Large Momentum Effective Theory. Two ensembles of $N_f=2+1+1$ twisted mass…

Generalized parton distributions provide a unified parameterization of hadron structure and allow one to combine information from many different observables. Lattice QCD calculations already provide important input to determine these…

High Energy Physics - Phenomenology · Physics 2010-04-05 M. Diehl , A. Manashov , A. Schafer

The non-perturbative parton distributions in hadrons are derived from simple physical arguments resulting in an analytical expression for the valence parton distributions. The sea partons arise mainly from pions in hadronic fluctuations.…

High Energy Physics - Phenomenology · Physics 2011-08-05 A. Edin , G. Ingelman

Parton distributions in the virtual photon target are investigated in perturbative QCD up to the next-to-next-to-leading order (NNLO). In the case $\Lambda^2 \ll P^2 \ll Q^2$, where $-Q^2$ ($-P^2$) is the mass squared of the probe (target)…

High Energy Physics - Phenomenology · Physics 2009-08-05 Takahiro Ueda , Ken Sasaki , Tsuneo Uematsu

We present lattice results for the isovector unpolarized parton distribution with nonperturbative RI/MOM-scheme renormalization on the lattice. In the framework of large-momentum effective field theory (LaMET), the full Bjorken-$x$…

High Energy Physics - Lattice · Physics 2018-01-24 Jiunn-Wei Chen , Tomomi Ishikawa , Luchang Jin , Huey-Wen Lin , Yi-Bo Yang , Jian-Hui Zhang , Yong Zhao

In the usual factorization theorems, which give predictions only for inclusive cross sections, there is considerable freedom in the choice of the scheme to define the parton distribution functions. These theorems do not directly apply to…

High Energy Physics - Phenomenology · Physics 2009-11-07 John C. Collins , Xiaomin Zu

We show that both the k_T- and collinear factorization for the DIS structure functions can be obtained by consecutive reductions of the Compton scattering amplitude. Each of these reductions is an approximation valid under certain…

High Energy Physics - Phenomenology · Physics 2011-11-03 B. I. Ermolaev , M. Greco , S. I. Troyan

We introduce the chiral-even and chiral-odd quark distributions as forward matrix elements of related bilocal quark operators with well-defined (geometric) twist. Thereby, we achieve a Lorentz invariant classification of these distributions…

High Energy Physics - Phenomenology · Physics 2009-10-31 Bodo Geyer , Markus Lazar

We demonstrate a new method of extracting parton distributions from lattice calculations. The starting idea is to treat the generic equal-time matrix element ${\cal M} (Pz_3, z_3^2)$ as a function of the Ioffe time $\nu = Pz_3$ and the…

High Energy Physics - Phenomenology · Physics 2017-10-30 Kostas Orginos , Anatoly Radyushkin , Joseph Karpie , Savvas Zafeiropoulos

Recent works have discussed the violation of factorization and universality in hadronic hard scattering processes aimed at measurements of T-odd distributions. We use simple arguments to show that it is possible to restore an approximate…

High Energy Physics - Phenomenology · Physics 2007-09-10 Andrea Bianconi

Exclusive $\pi^o$ electroproduction is suggested for extracting both the tensor charge and the transverse anomalous magnetic moment from experimental data. A connection between partonic degrees of freedom, given in terms of Generalized…

High Energy Physics - Phenomenology · Physics 2008-07-15 Simonetta Liuti , Gary R. Goldstein , Saeed Ahmad

In the framework of quantum chromodynamics (QCD), parton distribution functions (PDFs) quantify how the momentum and spin of a hadron are divided among its quark and gluon constituents. Two main approaches exist to determine PDFs. The first…

We propose a new method to calculate parton distribution functions (PDFs) from lattice correlations of boosted quarks and gluons in the Coulomb gauge. Compared to the widely used gauge-invariant Wilson-line operators, these correlations…

High Energy Physics - Phenomenology · Physics 2024-04-30 Xiang Gao , Wei-Yang Liu , Yong Zhao

We present a model calculation of leading order interference fragmentation functions arising from the distribution of two hadrons produced in the same jet of a fragmenting quark in a hard process. Using a simple spectator model for the…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Bianconi , S. Boffi , R. Jakob , M. Radici