RT Journal Article T1 PDF reweighting in the Hessian matrix approach A1 Paukkunen, Hannu A1 Zurita, María Pía K1 Statistical methods K1 Parton model K1 QCD AB We introduce the Hessian reweighting of parton distribution functions (PDFs).Similarly to the better-known Bayesian methods, its purpose is to address the compatibil-ity of new data and the quantitative modifications they induce within an existing set ofPDFs. By construction, the method discussed here applies to the PDF fits that carriedout a Hessian error analysis using a non-zero tolerance 2. The principle is validated byconsidering a simple, transparent example. We are also able to establish an agreement withthe Bayesian technique provided that the tolerance criterion is appropriately accounted forand that a purely exponential Bayesian likelihood is assumed. As a practical example, wediscuss the inclusive jet production at the LHC PB Springer SN 1029-8479 YR 2014 FD 2014 LK http://hdl.handle.net/10347/21461 UL http://hdl.handle.net/10347/21461 LA eng NO Paukkunen, H., Zurita, P. PDF reweighting in the Hessian matrix approach. J. High Energ. Phys. 2014, 100 (2014). https://doi.org/10.1007/JHEP12(2014)100 NO During this work H.P. was supported by the Academy– 24 –JHEP12(2014)100of Finland, Project No. 133005. P.Z. was supported by European Research Council grantHotLHC ERC-2011-StG-279579; by Ministerio de Ciencia e Innovaci´on of Spain under theConsolider-Ingenio 2010 Programme CPAN (CSD2007-00042); by Xunta de Galicia; andby FEDER DS Minerva RD 27 abr 2026