Using the Coulomb correction to the screening angular parameter of the Molière multiple scattering theory, we obtained analytically and numerically the Coulomb corrections to the parameters of the Migdal LPM effect theory. We showed that these corrections allow to eliminate the discrepancy between the predictions of the LPM effect theory and its measurement at least for high Z targets and also to further improve the agreement between the predictions of the LPM effect theory analogue for a thin layer of matter and experimental data. PACS: 11.80.La, 12.20.Fv, 32.80.Wr, 41.60.-m 1 See also [4] accounting the edge effects.arXiv:1309.7946v3 [hep-ph]

The final state interaction of pions in K e4 decay allows to obtain the value of the isospin and angular momentum zero ππ scattering length a 0 0 . We take into account the electromagnetic interaction of pions and isospin symmetry breaking effects caused by different masses of neutral and charged pions and estimate the impact of these effects on the procedure of scattering length extraction from K e4 decays. * On leave of absence from Yerevan Physics Institute † On leave of absence from Siberian Physical Technical Institute

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