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Inverse Problems in PDF Determinations
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The determination of Parton Distribution Functions from a finite set of data is a typical example of an inverse problem. Inverse problems are notoriously difficult to solve, in particular when a robust determination of the uncertainty in the result is needed. We present a Bayesian framework to deal with this problem and discuss first results from a closure test.
Forward citations
Cited by 2 Pith papers
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A simple non-parametric reconstruction of parton distributions from limited Fourier information
A fixed-hyperparameter Gaussian-process prior recovers parton distributions from limited Ioffe-time data and yields more realistic small-x uncertainties than simple parametric fits.
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Toward inclusive observables with staggered quarks: the smeared $R$~ratio
A pilot lattice QCD calculation shows that staggered quarks, with even/odd time-slice separation, produce a smeared R ratio that roughly matches the Bernecker-Meyer model below 1 GeV.
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