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

2014/10/27 by Max Baak, Stefan Gadatsch, Robert Harrington +1 · 1 citation
Physics and Astronomy · #physics.data-an #hep-ex

paper · pdf · doi:10.1016/j.nima.2014.10.033

20 pages, 6 figures. Algorithm publicly available in RooFit

arxiv created 2014/10/27 · arxiv updated 2014/10/29

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.

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