Renormalization-Scale Uncertainty in the Decay Rate of False Vacuum

Abstract

We study radiative corrections to the decay rate of false vacua, paying particular attention to the renormalization-scale dependence of the decay rate. The decay rate exponentially depends on the bounce action. The bounce action itself is renormalization scale dependent. To make the decay rate scale-independent, radiative corrections, which are due to the field fluctuations around the bounce, have to be included. We show quantitatively that the inclusion of the fluctuations suppresses the scale dependence, and hence is important for the precise calculation of the decay rate. We also apply our analysis to a supersymmetric model and show that the radiative corrections are important for the Higgs-stau system with charge breaking minima.

15 pages, 2 figures; added references

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• Stability of the CMSSM against sfermion VEVs
• Probing Bino Contribution to Muon g-2
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• Decay Rate of Electroweak Vacuum in the Standard Model and Beyond
• Higher-Order Corrections to the Bubble-Nucleation Rate at Finite Temperature
• False Vacuum Decay in Gauge Theory
• High Scale Validity of the DFSZ Axion Model with Precision
• Precise Calculation of the Decay Rate of False Vacuum with Multi-Field Bounce
• Radiative corrections to false vacuum decay in quantum mechanics