Characterising New Physics Models by Effective Dimensionality of Parameter Space

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

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Cited by in corpus (2)

• Repercussions of Flavour Symmetry Breaking on CP Violation in D-Meson Decays
• On $D\to X_u{l}^{+}{l}^{-}$ within the Standard Model and Frameworks like the Littlest Higgs Model with T Parity