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Regularising experimental correlations in LHC data: theory and application to a global analysis of parton distributions

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arxiv 2207.00690 v2 pith:5Z74F6DW submitted 2022-07-01 hep-ph hep-ex

Zahari Kassabov , Emanuele R. Nocera , Michael Wilson This is my paper · ORCID
classification hep-phhep-ex
keywords alteringanalysiscorrelationsdeterminationexperimentalglobalmeasurementsnnpdf4
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abstract

We show how an inaccurate determination of experimental uncertainty correlations in high-precision LHC measurements may undermine the reliability of the associated $\chi^2$. We formulate the problem rigorously, and devise a regularisation procedure that increases the stability of the $\chi^2$ 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 $\chi^2$ of the NNPDF4.0 determination is lowered by about $3\sigma$, without significantly altering the resulting PDFs upon refitting.

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Cited by 4 Pith papers

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    Kinematic cuts in Tevatron p-pbar photon-hadron production make cross-section ratios of kaons to pions approximate u-quark fragmentation-function ratios, enabling flavour-separated FF constraints.

  4. Fingerprinting New Physics with Effective Field Theories

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