Abstract
AbstractWe show how an inaccurate determination of experimental uncertainty correlations in high-precision LHC measurements may undermine the reliability of the associated $$\chi ^2$$
χ
2
. We formulate the problem rigorously, and devise a regularisation procedure that increases the stability of the $$\chi ^2$$
χ
2
by altering the covariance matrix of the measurement as little as possible. We apply the procedure to the NNPDF4.0 global analysis of parton distribution functions that utilises a large amount of LHC measurements. We find that the regularised $$\chi ^2$$
χ
2
of the NNPDF4.0 determination is lowered by about $$3\sigma $$
3
σ
, without significantly altering the resulting PDFs upon refitting.
Funder
H2020 European Research Council
Science and Technology Facilities Council
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
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