On the Standard Approach to Renormalization Group Improvement

Abstract

Two approaches to renormalization-group improvement are examined: the substitution of the solutions of running couplings, masses and fields into perturbatively computed quantities is compared with the systematic sum of all the leading log (LL), next-to-leading log (NLL) etc. contributions to radiatively corrected processes, with n-loop expressions for the running quantities being responsible for summing N^{n}LL contributions. A detailed comparison of these procedures is made in the context of the effective potential V in the 4-dimensional O(4) massless $\lambda {\varphi }^4$ model, showing the distinction between these procedures at two-loop order when considering the NLL contributions to the effective potential V.

6 pages

References in corpus (5)

• Improved Higgs Mass Stability Bound in the Standard Model and Implications for Supersymmetry
• Renormalization Group Improvement of the Effective Potential in Massive O(N) Symmetric ${\varphi }^4$ Theory
• Optimal Renormalization-Group Improvement of Two Radiatively-Broken Gauge Theories
• Optimal Renormalization-Group Improvement of R(s) via the Method of Characteristics
• Summation of Higher Order Effects using the Renormalization Group Equation

Cited by in corpus (5)

• Renormalization Group and Conformal Symmetry Breaking in the Chern-Simons Theory Coupled to Matter
• Renormalization group improvement of the effective potential in six dimensions
• Renormalization group improvement of the effective potential in a (1+1) dimensional Gross-Neveu model
• On-shell supersymmetry breaking in the Abelian Chern-Simons-matter model in three dimensions of spacetime
• Effective potential and dynamical symmetry breaking up to five loops in a massless abelian Higgs model