Characterising New Physics Models by Effective Dimensionality of Parameter Space
arXiv:1009.5283 · doi:10.1140/epjc/s10052-012-1867-7
Abstract
We show that the dimension of the geometric shape formed by the phenomenologically valid points inside a multi-dimensional parameter space can be used to characterise different new physics models and to define a quantitative measure for the distribution of the points. We explain a simple algorithm to determine the box-counting dimension from a given set of parameter points, and illustrate our method with examples from different models that have recently been studied with respect to precision flavour observables.
14 pages, 8 figures