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Related papers: Extracting Mellin moments of double parton distrib…

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We perform a lattice study of double parton distributions in the pion, using the relationship between their Mellin moments and pion matrix elements of two local currents. A good statistical signal is obtained for almost all relevant Wick…

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 computation of the parton distribution functions (PDF) or distribution amplitudes (DA) of hadrons from first principles lattice QCD constitutes a central open problem. In this study, we present and evaluate the efficiency of a selection…

High Energy Physics - Lattice · Physics 2019-05-01 Joseph Karpie , Kostas Orginos , Alexander Rothkopf , Savvas Zafeiropoulos

In this talk we reexamine the possibility of evaluating parton distribution functions from lattice simulations. We show that, while in principle individual moments can be extracted from lattice data, in all cases the process of…

High Energy Physics - Lattice · Physics 2018-11-27 Giancarlo Rossi , Massimo Testa

We provide a first study of Mellin moments of double parton distributions (DPDs) in the nucleon on the lattice, where we consider several combinations of quark flavors and polarizations. These are accessible through two-current…

High Energy Physics - Lattice · Physics 2021-09-30 Christian Zimmermann

We evaluate nucleon four-point functions in the framework of lattice QCD in order to extract the first Mellin moment of double parton distributions (DPDs) in the unpolarized proton. In this first study, we employ an nf = 2 + 1 ensemble with…

High Energy Physics - Lattice · Physics 2021-09-24 Gunnar S. Bali , Markus Diehl , Benjamin Gläßle , Andreas Schäfer , Christian Zimmermann

We show that double parton distributions, which are important in describing double parton scattering processes in hadron collisions, can be directly computed from correlations of equal-time nonlocal Euclidean operators on the lattice in the…

High Energy Physics - Phenomenology · Physics 2023-05-12 Jian-Hui Zhang

We review the basic theory of the parton pseudodistributions approach and its applications to lattice extractions of parton distribution functions. The crucial idea of the approach is the realization that the correlator $M(z,p)$ of the…

High Energy Physics - Phenomenology · Physics 2020-04-22 A. V. Radyushkin

Information about double parton distributions (DPDs) can be obtained by calculating four-point functions on the lattice. We continue our study on the first DPD Mellin moment of the unpolarized proton by considering interference effects…

High Energy Physics - Lattice · Physics 2022-11-28 Christian Zimmermann , Daniel Reitinger

In this note we reexamine the possibility of extracting parton distribution functions from lattice simulations. We discuss the case of quasi-parton distribution functions, the possibility of using the reduced Ioffe-time distributions and…

High Energy Physics - Lattice · Physics 2018-10-03 Giancarlo Rossi , Massimo Testa

We propose a physically motivated parametrization for the unpolarized generalized parton distributions, H and E, valid at both zero and non-zero values of the skewness variable, \zeta. Our approach follows a previous detailed study of the…

High Energy Physics - Phenomenology · Physics 2009-09-28 Saeed Ahmad , Heli Honkanen , Simonetta Liuti , Swadhin K. Taneja

We show that Mellin moments of generalized parton distributions, given as even polynomials in the skewness parameter, are obtained from the Taylor expansion of light front wave functions. Furthermore, we derive non-standard versions of the…

High Energy Physics - Phenomenology · Physics 2017-11-29 Dieter Müller

We examine the extraction of moments of parton distributions from lattice data, focusing in particular on the chiral extrapolation as a function of the quark mass. Inclusion of the correct chiral behavior of the spin-averaged isovector…

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

We present lattice QCD calculations of the odd Mellin moments of pion valence-quark generalized parton distribution (GPD) up to fifth order, $\langle x^4\rangle$, and for the skewness range $[-0.33, 0]$ using operator product expansion of…

High Energy Physics - Lattice · Physics 2026-01-22 Xiang Gao , Swagato Mukherjee , Qi Shi , Fei Yao , Yong Zhao

We calculate correlation functions of two local operators within the nucleon carrying momentum. We resolve their dependence on the spatial distance of the currents. This is carried out for all Wick contractions, taking into account several…

High Energy Physics - Lattice · Physics 2019-11-13 Christian Zimmermann

The formalism of short-distance factorization, conveyed through the pseudo-distribution approach, connects space-like and light-cone correlators and thus allows for the extraction in lattice QCD of a number of parton distributions. We…

High Energy Physics - Lattice · Physics 2024-09-06 B. Blossier , C. Mezrag , J. M. Morgado Chávez , T. San José

Following a previous detailed study of unpolarized generalized parton distribution functions in the non-singlet sector, and at zero values of the skewness variable, $\zeta$, we propose a physically motivated parametrization that is valid at…

High Energy Physics - Phenomenology · Physics 2007-12-18 S. Ahmad , H. Honkanen , S. Liuti , S. K. Taneja

Skewed parton distributions contain new non-perturbative information about hadronic states. Thus, their extraction from experimental data is an important goal. Properties and models for skewed parton distributions as well as their…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Müller

We propose a reconstruction of the full $(x, \xi, t)$ dependence of unpolarized isovector proton generalized parton distributions (GPDs) $H^{u-d}$ and $E^{u-d}$ from lattice QCD data in the pseudo-distribution formalism. For the first time,…

We present results for the unpolarized parton distribution function of the nucleon computed in lattice QCD at the physical pion mass. This is the first study of its kind employing the method of Ioffe time pseudo-distributions. Beyond the…

High Energy Physics - Lattice · Physics 2020-12-30 Bálint Joó , Joseph Karpie , Kostas Orginos , Anatoly V. Radyushkin , David G. Richards , Savvas Zafeiropoulos
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