Characterizing new physics models by effective dimensionality of parameter space

We show that the dimension of the geometric shape formed by the phenol menologically valid points inside a multi-dimensional parameter space can be used to characterize 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 oints, and illustrate our method with examples from different models that have recently been studied with respect to precision flavor observables.