Quantified naturalness from Bayesian statistics

S. Fichet
Phys. Rev. D 86, 125029 – Published 18 December 2012

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 (the 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. Several consequences and developments are further discussed. As a final illustration, we work out the map of combined fine-tuning associated with the gauge hierarchy problem and neutralino dark matter in a classic supersymmetric model.

  • Figure
  • Received 7 July 2012

DOI:https://doi.org/10.1103/PhysRevD.86.125029

© 2012 American Physical Society

Authors & Affiliations

S. Fichet

  • International Institute of Physics, UFRN, Avenida Odilon Gomes de Lima, 1722—Capim Macio, Natal-RN 59078-400, Brazil
  • Laboratoire de Physique Subatomique et de Cosmologie, UJF Grenoble 1, CNRS/IN2P3, 53 Avenue des Martyrs, F-38026 Grenoble, France

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 86, Iss. 12 — 15 December 2012

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×