Some O(α^2) Annihilation Type Contributions to the Orthopositronium Width

Details Some O(α^2) Annihilation Type Contributions to the Orthopositronium Width Some O(α^2) Annihilation Type Contributions to the Orthopositronium Width

1997-06-27

arxiv.org/abs/hep-ph/9706523v2

Eur.Phys.J.C5:535-543,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

Extended version including a computation in the Coulomb gauge. 22 pages, latex, 2 figures

Scientific paper

10.1007/s100520050298

We consider some radiative corrections to the lowest order annihilation diagram for the orthopositronium decay rate. The insertion of the renormalized vertex correction in the annihilation graph gives $1.6283 (\alpha/\pi)^2 \Gamma_0$. We compute also the contribution of the square of the lowest order annihilation amplitude, which turns out to be $0.1702 (\alpha/\pi)^2 \Gamma_0$. Finally, we obtain a term $\alpha^2 \ln\alpha \Gamma_0$ arising from the correction to the light-light scattering block due to the exchange of one coulombic photon, in agreement with earlier computations.

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