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Recently the concept of quasi parton distributions (quasi-PDFs) for hadrons has been proposed. Quasi-PDFs are defined through spatial correlation functions and as such can be computed numerically using quantum chromodynamics on a…

高能物理 - 唯象学 · 物理学 2018-12-26 Shohini Bhattacharya , Christopher Cocuzza , Andreas Metz

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…

Lattice QCD offers the possibility of computing parton distributions from first principles, although not in the usual $\overline{MS}$ factorization scheme. We study in this paper the evolution of non-singlet parton distribution functions…

高能物理 - 格点 · 物理学 2023-11-01 H. Dutrieux , J. Karpie , C. Monahan , K. Orginos , S. Zafeiropoulos

We discuss the physical nature of quasi-PDFs, especially the reasons for the strong nonperturbative evolution pattern which they reveal in actual lattice gauge calculations. We argue that quasi-PDFs may be treated as hybrids of PDFs and the…

高能物理 - 唯象学 · 物理学 2017-11-17 Anatoly Radyushkin

The quasi-transverse-momentum dependent (qTMD) distributions are equal-time correlators that can be computed within the lattice QCD approach. In the regime of large hadron's momentum, qTMD distributions are expressed in terms of standard…

高能物理 - 唯象学 · 物理学 2023-04-27 Simone Rodini , Alexey Vladimirov

We present a first lattice QCD calculation of the unpolarized nucleon's isovector transverse-momentum-dependent parton distribution functions (TMDPDFs), which are essential to predict observables of multi-scale, semi-inclusive processes in…

In this paper, we develop an approach to calculate the valence-quark quasi parton distribution amplitude (quasi-PDA) and quasi parton distribution function (quasi-PDF) for the pion with a large longitudinal momentum with the functional…

高能物理 - 唯象学 · 物理学 2025-02-24 Dao-yu Zhang , Chuang Huang , Wei-jie Fu

Transverse momentum dependent parton distribution functions (TMDPDFs) encode information about the intrinsic motion of quarks inside the nucleon. They are important non-perturbative ingredients in our understanding of, e.g., azimuthal…

高能物理 - 格点 · 物理学 2008-11-11 Bernhard U. Musch , Philipp Hägler , Andreas Schäfer , Dru B. Renner , John W. Negele , LHPC Collaboration

Matching of the quasi parton distribution functions between continuum and lattice is addressed using lattice perturbation theory specifically with Wilson-type fermions. The matching is done for nonlocal quark bilinear operators with a…

高能物理 - 格点 · 物理学 2018-04-18 Tomomi Ishikawa

In this paper, we present a detailed study of the unpolarized nucleon parton distribution function (PDF) employing the approach of parton pseudo-distribution functions. We perform a systematic analysis using three lattice ensembles at two…

高能物理 - 格点 · 物理学 2020-01-29 Bálint Joó , Joseph Karpie , Kostas Orginos , Anatoly Radyushkin , David Richards , Savvas Zafeiropoulos

We present a detailed study of the helicity-dependent and helicity-independent collinear parton distribution functions (PDFs) of the nucleon, using the quasi-PDF approach. The lattice QCD computation is performed employing twisted mass…

The one loop matching kernels between parton distribution functions (PDFs) for parton $i=u,d,s,g$ and their corresponding quasi-PDFs are computed at one loop in the hybrid-ratio scheme. We found that, in addition to the conservation of the…

高能物理 - 格点 · 物理学 2025-05-20 Yi-Xian Chen , Jiunn-Wei Chen

The formulas directly connecting parton distribution functions (PDFs) and fragmentation functions (FFs) at the next to leading order (NLO) QCD with the same quantities at the leading order (LO) are derived. These formulas are universal,…

高能物理 - 唯象学 · 物理学 2013-06-12 O. Yu. Shevchenko

We study the leading-twist quasi parton distribution function (quasi-PDF) and quasi generalize parton distribution (quasi-GPD) of the pion meson by using a spectator model. We consider the case the quasi functions are defined via inserting…

高能物理 - 唯象学 · 物理学 2020-07-01 Zhi-Lei Ma , Jia-Qing Zhu , Zhun Lu

The formulas directly connecting parton distribution functions (PDFs) at the leading (LO) and the next to leading (NLO) QCD orders are applied to both unpolarized and polarized valence PDFs and produce improved LO results on these…

高能物理 - 唯象学 · 物理学 2014-03-11 O. Yu. Shevchenko , R. R. Akhunzyanov

We investigate the renormalization of a class of gauge-invariant nonlocal quark bilinear operators, including a finite-length Wilson-line (called Wilson-line operators). The matrix elements of these operators are involved in the recent…

高能物理 - 格点 · 物理学 2018-11-09 Gregoris Spanoudes , Haralambos Panagopoulos

In lattice-QCD calculations of parton distribution functions (PDFs) via large-momentum effective theory, the leading power (twist-three) correction appears as ${\cal O}(\Lambda_{\rm QCD}/P^z)$ due to the linear-divergent self-energy of…

高能物理 - 格点 · 物理学 2023-08-09 Rui Zhang , Jack Holligan , Xiangdong Ji , Yushan Su

At small transverse momentum $q_T$, transverse-momentum dependent parton distribution functions (TMDPDFs) arise as genuinely nonperturbative objects that describe Drell-Yan like processes in hadron collisions as well as semi-inclusive…

高能物理 - 唯象学 · 物理学 2019-02-21 Markus A. Ebert , Iain W. Stewart , Yong Zhao

In a large-momentum nucleon state, the matrix element of a gauge-invariant Euclidean Wilson line operator accessible from lattice QCD can be related to the standard light-cone parton distribution function through the large-momentum…

高能物理 - 唯象学 · 物理学 2018-09-19 Taku Izubuchi , Xiangdong Ji , Luchang Jin , Iain W. Stewart , Yong Zhao

We construct the quasi-parton distributions of mesons for two-dimensional QCD with either scalar or spinor quarks using the $1/N_c$ expansion. We show that in the infinite momentum limit, the parton distribution function is recovered in…

高能物理 - 唯象学 · 物理学 2019-03-27 Xiangdong Ji , Yizhuang Liu , Ismail Zahed