Abstract

In this talk, I overview the recent progress on the global analysis of nuclear parton distribution functions (nuclear PDFs). After first introducing the contemporary fits, the analysis procedures are quickly recalled and the ambiguities in the use of experimental data outlined. Various nuclear-PDF parametrizations are compared and the main differences explained. The effects of nuclear PDFs in the LHC p–Pb hard-process observables are discussed and some future prospects sketched.

Highlights

  • The global analysis of nuclear PDFs is theoretically founded in collinear factorization [1], where the cross sections are convolutions between non-perturbative parton distribution functions fi(x, Q2f ) and perturbative matrix elements dσi j

  • While the momentum-fraction (x) dependence of the PDFs cannot be yet directly calculated from first principles, their scale (Q2f ) dependence is given by the partonic DGLAP evolution equations where the splitting functions Pi j can be computed by perturbative methods of QCD and electroweak theory

  • All the current analyses adopt the following fit procedure which is depicted in Fig. 3 here: The PDFs are first parametrized with some variables a at a low scale Q2 = Q20, and one solves the DGLAP evolution to higher Q2 and computes the cross sections corresponding to the input data

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Summary

Introduction

The global analysis of nuclear PDFs is theoretically founded in collinear factorization [1], where the cross sections are convolutions between non-perturbative parton distribution functions fi(x, Q2f ) and perturbative matrix elements dσi j. While the momentum-fraction (x) dependence of the PDFs cannot be yet directly calculated from first principles, their scale (Q2f ) dependence is given by the partonic DGLAP evolution equations where the splitting functions Pi j can be computed by perturbative methods of QCD and electroweak theory. Factorization is often supplemented with external models for hadronization (like the one in PYTHIA [3]), and in extreme case even with fluid dynamical descriptions [4]. Q cut in DIS datapoints free parameters error analysis error tolerance Δχ2 Free proton baseline PDFs Heavy-quark effects Flavor separation Reference

GeV 1811 20
Analysis procedures
The use of experimental data is not unambiguous
Comparison of the current global fits
Effects of nuclear PDFs in LHC p–Pb observables
The way forward
Summary
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