Radiative-nonrecoil corrections of orderα2(Zα)5to the Lamb shift

2009/11/30 by Matthew Dowling, Jorge Mondejar, Jorge Mondéjar +3 · 21 citations
Mathematics · Physics and Astronomy · #Algorithm #Artificial intelligence #Black Holes and Theoretical Physics #Computer science #Covariant transformation #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Regularization (linguistics) #hep-ph

paper · pdf · doi:10.1103/physreva.81.022509

published in Physical Review A 81(2) (American Physical Society) · 8 pages, 4 figures; v2: added two references, changed comparison with previous result, conclusions unchanged, matches published version; v3: corrected typo in Table I, final results and conclusions unchanged

openalex publication_date 2010/02/22 · arxiv created 2010/05/11 · arxiv updated 2014/11/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present results for the corrections of order \ensuremathα²(Z\ensuremathα)⁵ to the Lamb shift. We compute all the contributing Feynman diagrams in dimensional regularization and a general covariant gauge using a mixture of analytical and numerical methods. We confirm results obtained by other groups and improve their precision. Values of the 32 ``master integrals'' for this and similar problems are provided.

Citations

• Analytic contribution of orderα2(Zα)5m to the Lamb shift
• An automatized algorithm to compute infrared divergent multi-loop integrals
• Integration by parts: The algorithm to calculate β-functions in 4 loops
• Automatized analytic continuation of Mellin–Barnes integrals
• Algorithm FIRE—Feynman Integral REduction
• Theory of Light Hydrogenlike Atoms
• Analysis of PSLQ, an integer relation finding algorithm

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