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

Abstract

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(mα^6). We compare with other formalisms dealing with log resummation available in the literature.

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

References in corpus (3)

• Renormalization group improvement of the NRQCD Lagrangian and heavy quarkonium spectrum
• Nonabelian alpha_s^3/(m_q r^2) heavy-quark-antiquark potential
• Next-to-leading-log renormalization-group running in heavy-quarkonium creation and annihilation

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• Heavy Pair Production Currents with General Quantum Numbers in Dimensionally Regularized NRQCD
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• Soft, collinear and non-relativistic modes in radiative decays of very heavy quarkonium
• Model independent determination of the muonic hydrogen Lamb shift and proton radius
• Overview of Non-Relativistic QCD
• Techniques in Analytic Lamb Shift Calculations
• Model Independent Results for Heavy Quarkonium