Renormalization group improvement of the spectrum of Hydrogen-like atoms with massless fermions

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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9 pages, LaTeX. Minor changes, note added, final version

Scientific paper

10.1103/PhysRevA.66.062108

We obtain the next-to-next-to-leading-log renormalization group improvement of the spectrum of Hydrogen-like atoms with massless fermions by using potential NRQED. These results can also be applied to the computation of the muonic Hydrogen spectrum where we are able to reproduce some known double logs at O(m\alpha^6). We compare with other formalisms dealing with log resummation available in the literature.

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