Two-Loop Self-Energy Corrections to the Fine-Structure

Details Two-Loop Self-Energy Corrections to the Fine-Structure Two-Loop Self-Energy Corrections to the Fine-Structure

2001-11-07

arxiv.org/abs/hep-ph/0111084v2

J.Phys.A35:1927-1942,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, LaTeX, 2 figures; J. Phys. A (in press); added analytic results for two-loop form-factor slopes (by P. Mastrolia and

Scientific paper

10.1088/0305-4470/35/8/310

We investigate two-loop higher-order binding corrections to the fine structure, which contribute to the spin-dependent part of the Lamb shift. Our calculation focuses on the so-called ``two-loop self-energy'' involving two virtual closed photon loops. For bound states, this correction has proven to be notoriously difficult to evaluate. The calculation of the binding corrections to the bound-state two-loop self-energy is simplified by a separate treatment of hard and soft virtual photons. The two photon-energy scales are matched at the end of the calculation. We explain the significance of the mathematical methods employed in the calculation in a more general context, and present results for the fine-structure difference of the two-loop self-energy through the order of $\alpha^8$.

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