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- W4252592016 abstract "We continue our systematic investigation of effects of heavy particles in low-energy physics initiated in the preceding paper. It was shown therein that in renormalizable theories without spontaneous symmetry breaking, where there are heavy ($M$) and light ($m$) particles, all the $O(frac{1}{{M}^{2}})$ heavy-particle effects in any proper amputated light Green's function can be written in a factorized form $ensuremath{Gamma}{(M,m)}_{mathrm{full}mathrm{theory}}=ensuremath{Gamma}{(m)}_{mathrm{light}mathrm{theory}}+(frac{1}{{M}^{2}}){ensuremath{Sigma}}_{N}{C}_{N}(M,m)ensuremath{Gamma}{({O}_{N};m)}_{mathrm{light}mathrm{theory}}$. The functions ${C}_{N}(M,m)$, which are the universal coefficients associated with certain local operators ${O}_{N}$, were shown to satisfy a set of Callan-Symanzik-type equations. In the present article, these equations are explicitly solved in QED with the relevant anomalous dimensions evaluated to one-loop order. As an application within QED, assessment of the effects of muon loops on the electron anomalous magnetic moment is made and absence of leading logarithms in this quantity to all orders in the coupling constant $e$ is proved." @default.
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- W4252592016 title "Systematic investigation of effects of heavy particles via factorized local operators and the renormalization group. II. Explicit calculations in quantum electrodynamics" @default.
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- W4252592016 doi "https://doi.org/10.1103/physrevd.21.1138" @default.
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