PDF reweighting in the Hessian matrix approach

Paukkunen, Hannu; Zurita, Pia

doi:10.1007/JHEP12(2014)100

PDF reweighting in the Hessian matrix approach

Feb 26, 2014

21 pages

Published in:

JHEP 12 (2014) 100

Published: Dec 15, 2014

e-Print:

1402.6623 [hep-ph]

DOI:

10.1007/JHEP12(2014)100

View in:

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Abstract: (Springer)

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.

Note:

The final version, to appear in JHEP

Statistical Methods
Parton Model
QCD
CERN LHC Coll
parton: distribution function

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