Paukkunen, HannuZurita, María Pía2020-04-162020-04-162014Paukkunen, H., Zurita, P. PDF reweighting in the Hessian matrix approach. J. High Energ. Phys. 2014, 100 (2014). https://doi.org/10.1007/JHEP12(2014)1001029-8479http://hdl.handle.net/10347/21461We 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 of PDFs. By construction, the method discussed here applies to the PDF fits that carried out a Hessian error analysis using a non-zero tolerance 2. The principle is validated by considering a simple, transparent example. We are also able to establish an agreement with the Bayesian technique provided that the tolerance criterion is appropriately accounted for and that a purely exponential Bayesian likelihood is assumed. As a practical example, we discuss the inclusive jet production at the LHCeng© 2014 The Authors. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were madehttps://creativecommons.org/licenses/by/4.0Statistical methodsParton modelQCDjournal article10.1007/JHEP12(2014)100open access