Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-10-15
Phys.Rev. C67 (2003) 025201
Physics
High Energy Physics
High Energy Physics - Phenomenology
17 pages, LaTeX, minor changes, one reference added
Scientific paper
10.1103/PhysRevC.67.025201
We study the hydrogen and muonic hydrogen within an effective field theory framework. We perform the matching between heavy baryon effective theory coupled to photons and leptons and the relevant effective field theory at atomic scales. This matching can be performed in a perturbative expansion in alpha, 1/m_p and the chiral counting. We then compute the O(m_{l_i}^3 alpha^5/m_p^2 x logarithms) contribution (including the leading chiral logarithms) to the Hyperfine splitting and compare with experiment. They can explain about 2/3 of the difference between experiment and the pure QED prediction when setting the renormalization scale at the rho mass. We give an estimate of the matching coefficient of the spin-dependent proton-lepton operator in heavy baryon effective theory.
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