Radiative-nonrecoil corrections of order alpha^2 (Z alpha) E_F to the hyperfine splitting of muonium

Abstract

We present results for the corrections of order alpha^2 (Z alpha) E_F to the hyperfine splitting of muonium. We compute all the contributing Feynman diagrams in dimensional regularization and a general covariant gauge using a mixture of analytical and numerical methods. We improve the precision of previous results.

5 pages, 3 figures; v2: corrected several typos and replaced figure 3, final results and conclusions unchanged

References in corpus (4)

• Algorithm FIRE -- Feynman Integral REduction
• Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
• Radiative-nonrecoil corrections of order alpha^2 (Z alpha)^5 to the Lamb shift
• Three-Loop Radiative-Recoil Corrections to Hyperfine Splitting in Muonium: Diagrams with Polarization Loops

Cited by in corpus (5)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• CODATA Recommended Values of the Fundamental Physical Constants: 2014
• Higher-order corrections to spin-spin scalar interactions in HD${}^{+}$ and H${}_2^{+}$
• Precision Muonium Spectroscopy
• Magnetic moment of a bound electron