Radiative corrections in K ---> 3 pi decays
Jul, 2008
57 pages
Published in:
- Nucl.Phys.B 806 (2009) 178-223
e-Print:
- 0807.0515 [hep-ph]
Report number:
- HISKP-TH-08-10
View in:
Citations per year
Abstract: (Elsevier)
We investigate radiative corrections to K → 3 π decays. In particular, we extend the non-relativistic framework developed recently to include real and virtual photons and show that, in a well-defined power counting scheme, the results reproduce corrections obtained in the relativistic calculation. Real photons are included exactly, beyond the soft-photon approximation, and we compare the result with the latter. The singularities generated by pionium near threshold are investigated, and a region is identified where standard perturbation theory in the fine structure constant α may be applied. We expect that the formulae provided allow one to extract S-wave ππ scattering lengths from the cusp effect in these decays with high precision.Note:
- 57 pages, 17 figures
- 11.30.Rd
- 13.40.Ks
- 13.20.Eb
- 13.75.Lb
- Chiral symmetries
- Decays of K -mesons
- Electromagnetic corrections to strong- and weak-interaction processes
- Meson-meson interactions
- Meson–meson interactions
- Decays of K-mesons
References(41)
Figures(19)