Nuclear PDF Determination Using Markov Chain Monte Carlo Methods

Abstract:

Nuclear parton distribution functions (nPDFs) are crucial in studying nuclear structure and high-energy nuclear collisions. nPDFs have been determined via ‘global QCD analyses’, in which the nPDF-dependent predictions for a given process are compared with their actual measurements. One of the challenging parts of nPDF extractions is the estimation of uncertainties. The most common approach for this purpose is the Hessian method, which, however, has certain shortcomings, especially in the case of weaker data constraints. Here, we will show a case study for an alternative approach where nPDF uncertainties are estimated using Markov Chain Monte Carlo (MCMC) methods.

N. Derakhshanian, P. Risse, T. Ježo, M. Klasen, K. Kovařík, A. Kusina, F. I. Olness, I. Schienbein,
„Nuclear PDF Determination Using Markov Chain Monte Carlo Methods“, Acta Phys.
Polon. Supp. 16, 7 (2023).

https://www.actaphys.uj.edu.pl/index_n.php?I=S&V=16&N=7#A33

Related to Project C05