Renormalization Group Determination of the Five-Loop Effective Potential for Massless Scalar Field Theory

Abstract

The five-loop effective potential and the associated summation of subleading logarithms for O(4) globally-symmetric massless $\lambda {\varphi }^4$ field theory in the Coleman-Weinberg renormalization scheme $\frac{d^{4}V}{d{\varphi }^4}{|}_{\varphi =\mu }=\lambda$ (where $\mu$ is the renormalization scale) is calculated via renormalization-group methods. An important aspect of this analysis is conversion of the known five-loop renormalization-group functions in the minimal-subtraction (MS) scheme to the Coleman-Weinberg scheme.

5 pages. Write-up of talk given at Theory Canada III, June 2007, University of Alberta

References in corpus (7)

• The Standard Model Effective Potential at Two Loops
• Radiative Electroweak Symmetry-Breaking Revisited
• Closed-Form Summation of RG-Accessible Logarithmic Contributions to Semileptonic B-Decays and Other Perturbative Processes
• Optimal Renormalization-Group Improvement of Two Radiatively-Broken Gauge Theories
• A Unique Determination of the Effective Potential in Terms of Renormalization Group Functions
• The Renormalization Group with Exact beta-Functions
• Can experiments distinguish between Radiative Electroweak Symmetry breaking and Conventional breaking?

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