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We include uncertainties due to missing higher order corrections to QCDcomputations (MHOU) used in the determination of parton distributions (PDFs) inthe recent NNPDF4.0 set of PDFs. We use our previously published methodology,based on the treatment of MHOUs and their full correlations through a theorycovariance matrix determined by scale variation, now fully incorporated in thenew NNPDF theory pipeline. We assess the impact of the inclusion of MHOUs onthe NNPDF4.0 central values and uncertainties, and specifically show that theylead to improved consistency of the PDF determination with an ensuing moderatereduction of PDF uncertainties at NNLO.

Determination of the theory uncertainties from missing higher orders on NNLO parton distributions with percent accuracy