2014/02/28 by Hannu Paukkunen, Pía Zurita, Pia Zurita · 6 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithms and Data Compression #Applied mathematics #Computer science #Cryptography and Residue Arithmetic #Econometrics #Hessian matrix #Materials science #Mathematics #Matrix (chemical analysis) #Particle physics theoretical and experimental studies #hep-ex #hep-ph
paper · pdf · doi:10.1007/jhep12(2014)100
The final version, to appear in JHEP
openalex publication_date 2014/12/01 · arxiv created 2014/12/10 · arxiv updated 2015/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We introduce the Hessian reweighting of parton distribution functions (PDFs). Similarly to the better-known Bayesian methods, its purpose is to address the compatibility 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 Δχ 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 LHC.