  We reveal that the energy spectra of electrons-positrons in primary cosmic
rays measured at atmosphere top have double structures: an excess component
$\Phi^s_{e^+}(E)=\Phi^s_{e^-}(E)$ around $400 GeV$, which origins from a strong
$e^+e^-$-source and the distorted background $\Phi^0_{e^-}(E)$. We supposed
that the difference between AMS-CALET and Fermi-LAT-DAMPE data origins from the
energy loss of the fluxes due to the anomalous bremsstrahlung effect at a
special window. The evolution of spectra under anomalous bremsstrahlung effect
satisfies an improved electromagnetic cascade equation. The above spectra are
parameterized and they can be regarded as the subjects exploring new physics.
We suggest to check the previous applications of the Bethe-Heitler formula in
the study of the propagation of high energy electrons and photons.
