Radiative-nonrecoil corrections of order alpha^2 (Z alpha)^5 to the Lamb shift

Abstract

We present results for the corrections of order alpha^2 (Z alpha)^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.

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

References in corpus (6)

• Algorithm FIRE -- Feynman Integral REduction
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
• Sector Decomposition
• On the Resolution of Singularities of Multiple Mellin-Barnes Integrals
• Three-Loop Radiative Corrections to Lamb Shift and Hyperfine Splitting

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• Two-loop binding corrections to the electron gyromagnetic factor
• The proton radius (puzzle?) and its relatives
• Four Loop Massless Propagators: a Numerical Evaluation of All Master Integrals
• Radiative ${\mathbf{\alpha }}^7\mathbf{m}$ QED contribution to the helium Lamb shift
• Quantum Electrodynamics near a Huttner-Barnett dielectric
• Logarithmically enhanced Euler-Heisenberg Lagrangian contribution to the electron gyromagnetic factor
• Virtual Delbrück scattering and the Lamb shift in light hydrogen-like atoms
• Radiative-nonrecoil corrections of order alpha^2 (Z alpha) E_F to the hyperfine splitting of muonium
• Magnetic moment of a bound electron
• Two-loop corrections to the Lamb shift