QED Radiative Corrections to the Pionium Life Time

Details QED Radiative Corrections to the Pionium Life Time QED Radiative Corrections to the Pionium Life Time

1997-01-20

arxiv.org/abs/hep-ph/9701327v3

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, LaTeX (considerable improvements)

Scientific paper

The lowest order QED radiative corrections to the cross-section of the recharged process of transition of two charged pions to two neutral ones and to the pionium life time are calculated in frames of scalar QED. It is argued that the ultraviolet cut--off of the loop momentum is to be chosen of order of $\rho$ meson mass. This fact permits to perform the calculation in frames of Effective Chiral Lagrangian theory with vector-meson dominance. The Coulomb factor corresponding to interaction in the initial state, shown, is to be removed to avoid the double counting. Resulting value of the radiative correction to the pionium life time is -0.25%.

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