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

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