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We study chiral-odd quark-antiquark correlation functions suitable for lattice calculations of twist-three nucleon parton distribution functions $h_L(x)$ and $e(x)$, and also the twist-two transversity distribution $\delta q(x)$. The…

High Energy Physics - Phenomenology · Physics 2021-10-15 Vladimir M. Braun , Yao Ji , Alexey Vladimirov

We study the factorization of quasi generalized quark distributions with twist-2 generalized parton distributions. We use an approach which is different than that used in literature. Using the approach we derive the factorization relations…

High Energy Physics - Phenomenology · Physics 2022-09-07 J. P. Ma , Z. Y. Pang , G. P. Zhang

Ioffe-time distributions, which are functions of the Ioffe-time $\nu$, are the Fourier transforms of parton distribution functions with respect to the momentum fraction variable $x$. These distributions can be obtained from suitable equal…

High Energy Physics - Lattice · Physics 2018-04-18 Joseph Karpie , Kostas Orginos , Anatoly Radyushkin , Savvas Zafeiropoulos

The parton quasi-distribution functions (QDFs) of Ji have been found by Radyushkin to be directly related to the transverse momentum distributions (TMDs), to the pseudo-distributions, and to the Ioffe-time distributions (ITDs). This makes…

High Energy Physics - Phenomenology · Physics 2018-03-07 Wojciech Broniowski , Enrique Ruiz Arriola

Lorentz invariance relations connecting twist-3 parton distributions with transverse momentum dependent twist-2 distributions have been proposed previously. These relations can be extracted from a covariant decomposition of the quark-quark…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Schlegel , A. Metz

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…

High Energy Physics - Phenomenology · Physics 2023-04-27 Simone Rodini , Alexey Vladimirov

In this paper, the twist-3 two parton corrections in charmless $B\to PP$ decays are shown to be factorizable under the QCD factorization approach. The factorizability of the twist-3 two parton corrections is constructed on the following…

High Energy Physics - Phenomenology · Physics 2008-03-06 Tsung-Wen Yeh

We argue that parton distributions in coordinate space provide a more natural object for nonperturbative methods compared to the usual momentum distributions in which the physics of different longitudinal distances is being mixed. To…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. Braun , P. Górnicki , L. Mankiewicz

In this talk, we review a QCD factorization based approach to extract parton distribution and correlation functions from lattice QCD calculation of single hadron matrix elements of quark-gluon operators. We argue that although the lattice…

High Energy Physics - Phenomenology · Physics 2015-06-23 Yan-Qing Ma , Jian-Wei Qiu

We present first results on selected twist-3 quark GPDs using the quasi-distribution method. This approach relates lattice QCD data and light-cone distribution functions using Large Momentum Effective Theory (LaMET). We calculate…

I examine the past lattice QCD calculations of three representative observables, the transverse quark distribution, momentum fraction, and axial charge, and emphasize the prospects for not only quantitative comparison with experiment but…

High Energy Physics - Lattice · Physics 2009-11-11 Dru B. Renner

This work applies lattice QCD to compute quark momentum distributions in the nucleon. We explore a novel approach based on non-local operators in order to analyze transverse momentum dependent parton distribution functions, which encode…

High Energy Physics - Lattice · Physics 2009-07-15 Bernhard U. Musch

Phenomenological studies of transverse momentum dependent (TMD) parton distributions rely on the expansion in small values of the transverse separation of fields, where TMD parton distributions match onto collinear parton distribution…

High Energy Physics - Phenomenology · Physics 2023-09-07 Simone Rodini , Alessio Carmelo Alvaro , Barbara Pasquini

We present results for the $x$ dependence of the unpolarized, helicity, and transversity isovector quark distributions in the proton using lattice QCD, employing the method of quasi-distributions proposed by Ji in 2013. Compared to a…

High Energy Physics - Lattice · Physics 2016-09-02 Constantia Alexandrou , Krzysztof Cichy , Kyriakos Hadjiyiannakou , Karl Jansen , Fernanda Steffens , Christian Wiese

In order to study twist-3 and transverse momentum dependent parton distributions, we use light-front time-ordered pQCD at order $\alpha_s$ to calculate various distribution functions for a dressed quark target. This study enables us to…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. Kundu , A. Metz

We extract the pion valence quark distribution $q^\pi_{\rm v}(x)$ from lattice QCD (LQCD) calculated matrix elements of spacelike correlations of one vector and one axial vector current analyzed in terms of QCD collinear factorization,…

We demonstrate a factorization formula for semi-inclusive deep-inelastic scattering with hadrons in the current fragmentation region detected at low transverse momentum. To facilitate the factorization, we introduce the transverse-momentum…

High Energy Physics - Phenomenology · Physics 2011-08-01 Xiangdong Ji , Jian-ping Ma , Feng Yuan

We review the calculation of moments of both the polarized and unpolarized parton distribution functions of the nucleon in lattice QCD, and in particular their extrapolation to the physical region. We also discuss the reconstruction of the…

High Energy Physics - Lattice · Physics 2008-11-26 W. Detmold , W. Melnitchouk , A. W. Thomas

In the target fragmentation region of Semi-Inclusive Deep Inelastic Scattering, the diffractively produced hadron has small transverse momentum. If it is at order of $\Lambda_{QCD}$, it prevents to make predictions with the standard…

High Energy Physics - Phenomenology · Physics 2022-01-17 K. B. Chen , J. P. Ma , X. B. Tong

We study the transverse momentum dependent (TMD) parton distributions in the newly proposed quasi-parton distribution function framework in Euclidean space. A soft factor subtraction is found to be essential to make the TMDs calculable on…

High Energy Physics - Phenomenology · Physics 2015-04-16 Xiangdong Ji , Peng Sun , Xiaonu Xiong , Feng Yuan
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