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Quantified naturalness from Bayesian statistics

Abstract : We present a formulation of naturalness made in the framework of Bayesian statistics, which unravels the conceptual problems related to previous approaches. Among other things, the relative interpretation of the measure of naturalness turns out to be unambiguously established by Jeffreys' scale. Also, the usual sensitivity formulation (so-called Barbieri-Giudice measure) appears to be embedded in our formulation under an extended form. We derive the general sensitivity formula applicable to an arbitrary number of observables. To illustrate our results, we work out, among other things, the map of combined fine-tuning associated to the gauge hierarchy problem and neutralino dark matter in a classic supersymmetric model.
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http://hal.in2p3.fr/in2p3-00690628
Contributor : Emmanuelle Vernay <>
Submitted on : Tuesday, April 24, 2012 - 9:24:48 AM
Last modification on : Thursday, November 19, 2020 - 12:58:57 PM

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S. Fichet. Quantified naturalness from Bayesian statistics. Physical Review D, American Physical Society, 2012, 86, pp.125029. ⟨10.1103/PhysRevD.86.125029⟩. ⟨in2p3-00690628⟩

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