Interpolation between multi-dimensional histograms using a new non-linear moment morphing method

Abstract

A prescription is presented for the interpolation between multi-dimensional distribution templates based on one or multiple model parameters. The technique uses a linear combination of templates, each created using fixed values of the model's parameters and transformed according to a specific procedure, to model a non-linear dependency on model parameters and the dependency between them. By construction the technique scales well with the number of input templates used, which is a useful feature in modern day particle physics, where a large number of templates is often required to model the impact of systematic uncertainties.

20 pages, 6 figures. Algorithm publicly available in RooFit

References in corpus (4)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• Asymptotic formulae for likelihood-based tests of new physics
• The RooFit toolkit for data modeling
• Measurements of Higgs boson production and couplings in the four-lepton channel in $pp$ collisions at center-of-mass energies of 7 and 8 TeV with the ATLAS detector

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