Sensitivity Parameter and Time Variations of Fundamental Constants

Abstract

The sensitivity parameter is widely used for quantifying fine tuning. However, examples show it fails to give correct results under certain circumstances. We argue that the problems of the sensitivity parameter are almost identical to the consequences we have to solved if the time-varying fine structure constant is proved to be true. The high sensitivity of the energy scale parameter (Λ) to the dimensionless coupling constant plays an important role in these problems. It affects the reliability of the sensitivity parameter via mechanisms such as dynamical symmetry breaking, chiral symmetry breaking etc. The reliability of the sensitivity parameter can be improved if it is used properly.

arXiv comment6 pages

References in corpus (28)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• Supersymmetric Unification Without Low Energy Supersymmetry And Signatures for Fine-Tuning at the LHC
• Further Evidence for Cosmological Evolution of the Fine Structure Constant
• Naturalness, Weak Scale Supersymmetry and the Prospect for the Observation of Supersymmetry at the Tevatron and at the LHC
• The Cosmological Evolution of the Nucleon Mass and the Electroweak Coupling Constants
• Implications of Gauge Unification for Time Variation of the Fine Structure Constant
• Two-loop Renormalization Group Equations in General Gauge Field Theories
• Measures of fine tuning
• Naturalness Implications of LEP Results
• Renormalization Group Study of the Standard Model and its Extensions: II. the Minimal Supersymmetric Standard Model
• Nucleosynthesis and the Time Dependence of Fundamental Couplings
• The fine-tuning price of LEP
• About the fine-tuning price of LEP
• Natural ranges of supersymmetric signals
• Naturalness and superpartner masses or when to give up on weak scale supersymmetry
• Haggling over the fine-tuning price
• Time-varying coupling strengths, nuclear forces and unification
• Naturalness bounds on gauge mediated soft terms
• Implications for New Physics from Fine-Tuning Arguments: I. Application to SUSY and Seesaw Cases
• Effective Field Theory
• Fine-Tuning Constraints on Supergravity Models
• Focus Point Supersymmetry: Proton Decay, Flavor and CP Violation, and the Higgs Boson Mass
• Are heavy scalars natural in minimal supergravity?
• Time Variations in the Scale of Grand Unification
• Challenging weak-scale supersymmetry at colliders
• Time variation of proton-electron mass ratio and fine structure constant with runaway dilaton
• Naturalness constraints on gauge-mediated supersymmetry breaking models