English

Towards parton distribution functions with theoretical uncertainties

High Energy Physics - Phenomenology 2018-10-05 v1

Abstract

An important limitation in current fits of parton distribution functions (PDFs) is that PDF uncertainties do not include any source of theoretical uncertainty. Here we present a general method for incorporating theoretical uncertainties into PDF fits, focussing in particular on perturbative missing higher order uncertainties (MHOUs). We consider two methods for estimating the effect of MHOUs on PDFs, both based on scale variations. Firstly, we present PDF fits based on theoretical predictions with varied scales, and use these to estimate the associated MHOUs. Secondly, we discuss the construction of a theoretical covariance matrix using scale variations, and its combination with the experimental covariance matrix currently used in PDF fits.

Keywords

Cite

@article{arxiv.1810.01996,
  title  = {Towards parton distribution functions with theoretical uncertainties},
  author = {R. L. Pearson and C. Voisey},
  journal= {arXiv preprint arXiv:1810.01996},
  year   = {2018}
}

Comments

6 pages, 3 figures. Contribution to the proceedings of the 21st International Conference in Quantum Chromodynamics (QCD 18), 2-6 July 2018, Montpellier, France

R2 v1 2026-06-23T04:27:55.804Z