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This contribution to the Italian "Workshop sui Monte Carlo, la Fisica e le Simulazioni a LHC", held at LNF, Frascati, in February, May and October 2006, summarises the status of parton density functions (PDF's) and the impact of their…

高能物理 - 实验 · 物理学 2019-08-13 A. Tricoli

One of the most fascinating challenges in the context of parton density function (PDF) is the determination of the best combined PDF uncertainty from individual PDF sets. Since 2014 multiple methodologies have been developed to achieve this…

高能物理 - 唯象学 · 物理学 2016-05-18 Stefano Carrazza , José I. Latorre

We present a comprehensive new global QCD analysis of polarized inclusive deep-inelastic scattering, including the latest high-precision data on longitudinal and transverse polarization asymmetries from Jefferson Lab and elsewhere. The…

高能物理 - 唯象学 · 物理学 2016-04-13 Nobuo Sato , W. Melnitchouk , S. E. Kuhn , J. J. Ethier , A. Accardi

In this work we consider a class of uncertainty quantification problems where the system performance or reliability is characterized by a scalar parameter $y$. The performance parameter $y$ is random due to the presence of various sources…

数值分析 · 数学 2016-07-20 Keyi Wu , Jinglai Li

Parameter estimation in HEP experiments often involves Monte-Carlo simulation to model the experimental response function. A typical application are forward-folding likelihood analyses with re-weighting, or time-consuming minimization…

数据分析、统计与概率 · 物理学 2018-06-12 Thorsten Glüsenkamp

The current PDF4LHC recommendation to estimate uncertainties due to parton distribution functions (PDFs) in theoretical predictions for LHC processes involves the combination of separate predictions computed using PDF sets from different…

高能物理 - 唯象学 · 物理学 2015-09-30 Stefano Carrazza , Jose I. Latorre , Juan Rojo , Graeme Watt

Parton distributions functions (PDFs), which are essential to the interpretation of data from high energy colliders, are measured by representing them as functional forms containing many parameters. Those parameters are determined by…

高能物理 - 唯象学 · 物理学 2015-03-13 Jon Pumplin

Global QCD analyses of nuclear parton distribution functions (nPDFs) have traditionally relied on the Hessian method for uncertainty estimation. However, the inherent Gaussian approximation and reliance on local curvature often prove…

高能物理 - 唯象学 · 物理学 2026-03-16 N. Derakhshanian , P. Risse , T. Jezo , M. Klasen , K. Kovarik , A. Kusina

We introduce the Hessian reweighting of parton distribution functions (PDFs). Similarly to the better-known Bayesian methods, its purpose is to address the compatibility of new data and the quantitative modifications they induce within an…

高能物理 - 唯象学 · 物理学 2015-06-18 Hannu Paukkunen , Pia Zurita

The propagation of uncertainties in reaction cross sections and rates of neutron-, proton-, and $\alpha$-induced reactions into the final isotopic abundances obtained in nucleosynthesis models is an important issue in studies of…

高能天体物理现象 · 物理学 2020-12-24 T. Rauscher

This manuscript outlines a software package that facilitates working with probability distributions by means of Monte-Carlo methods, in a way that allows for propagation of multivariate probability distributions through arbitrary functions.…

数学软件 · 计算机科学 2020-01-22 Fredrik Bagge Carlson

We present a method developed by the NNPDF Collaboration that allows the inclusion of new experimental data into an existing set of parton distribution functions without the need for a complete refit. A Monte Carlo ensemble of PDFs may be…

高能物理 - 唯象学 · 物理学 2015-06-03 Francesco Cerutti , Nathan Hartland

We discuss selected topics in the forthcoming MSTW 2008 determination of parton distributions by global analysis. The tolerance parameter controlling the uncertainties on the parton distributions is now determined by a new dynamic procedure…

高能物理 - 唯象学 · 物理学 2008-07-01 G. Watt , A. D. Martin , W. J. Stirling , R. S. Thorne

We formulate a general approach to the inclusion of theoretical uncertainties, specifically those related to the missing higher order uncertainty (MHOU), in the determination of parton distribution functions (PDFs). We demonstrate how,…

We present NNPDFpol2.0, a new set of collinear helicity parton distribution functions (PDFs) of the proton based on legacy measurements of structure functions in inclusive neutral-current longitudinally polarised deep-inelastic scattering…

We apply the Lagrange Multiplier method to study the uncertainties of physical predictions due to the uncertainties of parton distribution functions (PDFs), using the cross section for W production at a hadron collider as an archetypal…

高能物理 - 唯象学 · 物理学 2009-09-25 D. Stump , J. Pumplin , R. Brock , D. Casey , J. Huston , J. Kalk , H. L. Lai , W. K. Tung

A determination of Parton Distribution Functions (PDFs) from a global fit to a dataset including measurements from the LHC has been performed. The determinations have been carried out according to the NNPDF methodology, leading to a fit…

高能物理 - 唯象学 · 物理学 2014-11-04 Nathan Hartland

A "meta-analysis" is a method for comparison and combination of nonperturbative parton distribution functions (PDFs) in a nucleon obtained with heterogeneous procedures and assumptions. Each input parton distribution set is converted into a…

高能物理 - 唯象学 · 物理学 2015-06-18 Jun Gao , Pavel Nadolsky

We show how an inaccurate determination of experimental uncertainty correlations in high-precision LHC measurements may undermine the reliability of the associated $\chi^2$. We formulate the problem rigorously, and devise a regularisation…

高能物理 - 唯象学 · 物理学 2022-10-31 Zahari Kassabov , Emanuele R. Nocera , Michael Wilson

Parton distribution functions (PDFs) play a central role in calculations for the Large Hadron Collider (LHC). To gain a deeper understanding of the emergence and interplay of constraints on the PDFs in the global QCD analyses, it is…