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This note provides an interim summary of the current recommendations of the PDF4LHC working group for the use of parton distribution functions (PDFs) and of PDF uncertainties at the LHC, for cross section and cross section uncertainty…

The proposed Large Hadron Electron Collider (LHeC) at CERN would bring Deep-Inelastic scattering into the unexplored TeV regime. The LHeC rich physics program, among other topics, includes both precision SM measurements to complement LHC…

High Energy Physics - Phenomenology · Physics 2009-06-12 Juan Rojo , Fabrizio Caola

The level of precision achieved by the experimental measurements at the LHC requires the inclusion of higher order electroweak effects to the processes of $ pp $ scattering. In particular the photon-induced process $ \gamma\gamma \to…

High Energy Physics - Phenomenology · Physics 2014-01-07 Renat Sadykov

We compare predictions for the W, Z, gg->H and t-tbar total cross sections at the Large Hadron Collider (LHC), for a centre-of-mass energy of 7 TeV, using the most recent publicly available next-to-leading order and next-to-next-to-leading…

High Energy Physics - Phenomenology · Physics 2011-09-16 G. Watt

Parton distribution functions (PDFs) describe the structure of hadrons as composed of quarks and gluons. They are needed to make predictions for short-distance processes in high-energy collisions and are determined by fitting to cross…

High Energy Physics - Phenomenology · Physics 2020-11-11 Karol Kovarik , Pavel M. Nadolsky , Davison E. Soper

The interpretation of LHC data, and the assessment of possible hints of new physics, require the precise knowledge of the proton structure in terms of parton distribution functions (PDFs). I present a methodology designed to determine…

High Energy Physics - Phenomenology · Physics 2024-05-16 Elie Hammou

In the context of a recent CTEQ6.6 global analysis, we review a new technique for studying correlated theoretical uncertainties in hadronic observables associated with imperfect knowledge of parton distribution functions (PDFs). The…

High Energy Physics - Phenomenology · Physics 2008-09-08 Pavel M. Nadolsky

We present a new procedure to determine Parton Distribution Functions (PDFs), based on Markov Chain Monte Carlo (MCMC) methods. The aim of this paper is to show that we can replace the standard $\chi^2$ minimization by procedures grounded…

High Energy Physics - Phenomenology · Physics 2017-11-07 Yémalin Gabin Gbedo , Mariane Mangin-Brinet

We discuss the determination of the parton substructure of hadrons by casting it as a peculiar form of pattern recognition problem in which the pattern is a probability distribution, and we present the way this problem has been tackled and…

High Energy Physics - Phenomenology · Physics 2020-08-31 Stefano Forte , Stefano Carrazza

We show how to account for correlations between theoretical uncertainties incorporated in parton distribution function (PDF) fits, and the theoretical uncertainties in the predictions made using these PDFs. We demonstrate by explicit…

High Energy Physics - Phenomenology · Physics 2021-10-04 Richard D. Ball , Rosalyn L. Pearson

Modern analysis on parton distribution functions (PDFs) requires calculations of the log-likelihood functions from thousands of experimental data points, and scans of multi-dimensional parameter space with tens of degrees of freedom. In…

High Energy Physics - Phenomenology · Physics 2022-08-24 DianYu Liu , ChuanLe Sun , Jun Gao

We present the MCscales approach for incorporating scale uncertainties in parton distribution functions (PDFs). The new methodology builds on the Monte Carlo sampling for propagating experimental uncertainties into the PDF space that…

High Energy Physics - Phenomenology · Physics 2023-03-27 Zahari Kassabov , Maria Ubiali , Cameron Voisey

Uncertainties on low-$x$ PDFs are crucial for the standard model benchmark processes of $W$ and $Z$ production at the LHC. The current level of PDF uncertainty is critically reviewed and the possibility of reducing this uncertainty using…

High Energy Physics - Experiment · Physics 2007-05-23 A. Tricoli , A. M. Cooper-Sarkar , C. Gwenlan

We present an indirect determination of the top-quark pole mass $m_t$ within a global analysis of parton distribution functions (PDFs), based on the public NNPDF framework. We consider a wide range of measurements, including both single-…

High Energy Physics - Phenomenology · Physics 2026-04-16 Richard D. Ball , Jaco ter Hoeve , Roy Stegeman

High Energy collider experiments are moving to the highest precision frontier quickly. The predictions of observables are based on the factorization formula which helps to connect small to large distances. These predictions can be…

High Energy Physics - Phenomenology · Physics 2023-05-29 David F. Renteria-Estrada , Roger J. Hernandez-Pinto , G. F. R. Sborlini , Pia Zurita

We study the impact of recent LHC $t$-channel single top-quark and top-antiquark measurements at centre-of-mass energies of 7, 8 and 13 TeV on the parton distribution functions (PDFs) of the proton. We consider, namely, total cross…

High Energy Physics - Phenomenology · Physics 2020-06-24 Emanuele R. Nocera , Maria Ubiali , Cameron Voisey

We present a systematic study of uncertainties due to parton distributions and the strong coupling on the gluon-fusion production cross section of the Standard Model Higgs at the Tevatron and LHC colliders. We compare procedures and results…

High Energy Physics - Phenomenology · Physics 2014-11-20 Federico Demartin , Stefano Forte , Elisa Mariani , Juan Rojo , Alessandro Vicini

In an earlier publication, we introduced the software package, {\tt \texttt{ePump}} (error PDF Updating Method Package), that can be used to update or optimize a set of parton distribution functions (PDFs), including the best-fit PDF set…

High Energy Physics - Phenomenology · Physics 2019-12-18 Tie-Jiun Hou , Zhite Yu , Sayipjamal Dulat , Carl Schmidt , C. -P. Yuan

The parton distribution functions (PDFs) of the proton play a role in determining the lineshape of $Z$ and $W$ bosons produced at the LHC. In particular, the mode of the gauge boson virtuality is shifted with respect to the pole due to the…

High Energy Physics - Experiment · Physics 2020-04-27 Valerio Bertacchi , Lorenzo Bianchini , Elisabetta Manca , Gigi Rolandi , Suvankar Roy Chowdhury

This document is intended as a study of benchmark cross sections at the LHC (at 7 TeV) at NLO using modern parton distribution functions currently available from the 6 PDF fitting groups that have participated in this exercise. It also…

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