The Lamb shift in muonic hydrogen and the proton radius from effective field theories

Clara Peset, Antonio Pineda

Research output: Contribution to journalArticleResearchpeer-review

17 Citations (Scopus)

Abstract

© 2015, SIF, Springer-Verlag Berlin Heidelberg. We comprehensively analyse the theoretical prediction for the Lamb shift in muonic hydrogen, and the associated determination of the proton radius. We use effective field theories. This allows us to relate the proton radius with well-defined objects in quantum field theory, eliminating unnecessary model dependence. The use of effective field theories also helps us to organize the computation so that we can clearly state the parametric accuracy of the result. In this paper we review all (and check several of) the contributions to the energy shift of order α5, as well as those that scale like α5×logarithms in the context of non-relativistic effective field theories of QED.
Original languageEnglish
Article number156
Pages (from-to)1-19
JournalEuropean Physical Journal A
Volume51
Issue number12
DOIs
Publication statusPublished - 1 Dec 2015

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