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Based on the canonical correlation analysis we derive series representations of the probability density function (PDF) and the cumulative distribution function (CDF) of the information density of arbitrary Gaussian random vectors as well as…

信息论 · 计算机科学 2022-07-13 Jonathan Huffmann , Martin Mittelbach

Parton distributions are constructed in a statistical physical picture of the nucleon. The chiral properties of QCD lead to strong relations between quarks and antiquarks distributions and the importance of the Pauli exclusion principle is…

高能物理 - 唯象学 · 物理学 2007-05-23 Jacques Soffer

Under ideal conditions, the probability density function (PDF) of a random variable, such as a sensor measurement, would be well known and amenable to computation and communication tasks. However, this is often not the case, so the user…

统计理论 · 数学 2022-07-29 Shane Lubold , Clark N. Taylor

We perform a \chi^2-analysis of Nuclear Parton Distribution Functions (NPDFs) using neutral current charged-lepton Deeply Inelastic Scattering (DIS) and Drell-Yan data for several nuclear targets. The nuclear A dependence of the NPDFs is…

高能物理 - 唯象学 · 物理学 2010-02-11 I. Schienbein , J. Y. Yu , K. Kovarik , C. Keppel , J. G. Morfin , F. Olness , J. F. Owens

We discuss the structure of the parton quasi-distributions (quasi-PDFs) $Q(y, P_3)$ outside the "canonical" $-1 \leq y \leq 1$ support region of the usual parton distribution functions (PDFs). Writing the $y^n$ moments of $Q(y, P_3)$ in…

高能物理 - 唯象学 · 物理学 2018-12-26 Anatoly Radyushkin

Parton distribution functions play a pivotal role in hadron collider phenomenology. They are non-perturbative quantities extracted from fits to available data, and their scale dependence is dictated by the DGLAP evolution equations. In this…

We show that the parton distribution functions (PDF) described by the statistical model have very interesting physical properties which help to understand the structure of partons. The role of the quark helicity components is emphasized as…

高能物理 - 唯象学 · 物理学 2015-09-28 Claude Bourrely

We provide an updated recommendation for the usage of sets of parton distribution functions (PDFs) and the assessment of PDF and PDF+$\alpha_s$ uncertainties suitable for applications at the LHC Run II. We review developments since the…

The determination of Parton Distribution Functions from a finite set of data is a typical example of an inverse problem. Inverse problems are notoriously difficult to solve, in particular when a robust determination of the uncertainty in…

高能物理 - 格点 · 物理学 2023-03-01 Alessandro Candido , Luigi Del Debbio , Tommaso Giani , Giacomo Petrillo

According to recent studies, Parton Distribution Functions (PDFs) and Generalized Parton Distributions (GPDs) can be evaluated in a Constituent Quark Model (CQM) scenario, considering the constituent quarks as composite objects. In here, a…

高能物理 - 唯象学 · 物理学 2009-11-10 Santiago Noguera , Sergio Scopetta , Vicente Vento

The NNPDF collaboration has recently presented NNPDF3.1, a new determination of the parton distribution functions (PDFs) of the proton including a number of new data, some of which are particularly sensitive to the gluon PDF at large x. In…

高能物理 - 唯象学 · 物理学 2019-02-25 Emanuele R. Nocera , Maria Ubiali

We present three new sets of next-to-leading order parton distribution functions (PDFs) determined by global fits to a wide variety of data for hard scattering processes. The analysis includes target mass and higher twist corrections needed…

高能物理 - 唯象学 · 物理学 2013-05-15 J. F. Owens , A. Accardi , W. Melnitchouk

We have systematically studied the optimal real-space sampling of atomic pair distribution data by comparing refinement results from oversampled and resampled data. Based on nickel and a complex perovskite system, we demonstrate that the…

We present the MSHT20qed_an3lo parton distribution functions (PDFs). These result from the first global PDF analysis to combine QED and approximate N${}^3$LO (aN${}^3$LO) QCD corrections in the theoretical calculation of the PDF evolution…

高能物理 - 唯象学 · 物理学 2024-07-31 T. Cridge , L. A. Harland-Lang , R. S. Thorne

We present a new public code, FPPDF, to perform global fits of parton distribution functions (PDFs). The fitting methodology follows that implemented by the MSHT collaboration, namely applying a fixed polynomial parameterisation of the PDFs…

高能物理 - 唯象学 · 物理学 2026-02-10 J. M. Cruz-Martinez , T. Giani , L. A. Harland-Lang

We review our recent paper, where we proved Parton distributions functions (PDFs) to be positive at NLO in the $\overline{MS}$ factorization scheme. We present some additional material that was useful in completing the steps for the actual…

高能物理 - 唯象学 · 物理学 2021-08-25 Alessandro Candido , Stefano Forte , Felix Hekhorn

We provide an analysis of the x-dependence of the bare unpolarized, helicity and transversity iso-vector parton distribution functions (PDFs) from lattice calculations employing (maximally) twisted mass fermions. The x-dependence of the…

A short review of the currently available modern parton distribution functions (PDFs)and the theory predictions obtained using those PDFs for several benchmark processes at LHC, including Higgs boson production, is presented in this…

高能物理 - 唯象学 · 物理学 2016-09-23 Ringaile Placakyte

We propose a new approach to determining quasi parton distribution functions (PDFs) from lattice quantum chromodynamics. By incorporating the gradient flow, this method guarantees that the lattice quasi PDFs are finite in the continuum…

高能物理 - 格点 · 物理学 2017-04-26 Christopher Monahan , Kostas Orginos

We perform the first global QCD analysis of parton distribution functions (PDFs) in the pion, combining $\pi A$ Drell-Yan data with leading neutron electroproduction from HERA within a Monte Carlo approach based on nested sampling.…

高能物理 - 唯象学 · 物理学 2018-10-17 P. C. Barry , N. Sato , W. Melnitchouk , Chueng-Ryong Ji
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