and which reveal some features of the underlying more profound theory. In particular, the Lorentz and CPT-symmetry breaking may be expected to occur for physical particles, caused by some dynamic reasons lying outside the standard model. The theoretical framework, which covers the standard model and includes phenomenological description of Lorentz invariance violation in a rather general form, is known as the Standard Model Extension (SME) [@sme_theory]. The emergence of the SME yielded intense theoretical investigation and discussion of its implications for particle physics [@sme_calc], [@sme_reviews]. Among new phenomena predicted and already partially available for high-precision observations, one can mention the following: “distortion” of energy-momentum relations of physical particles, effective anisotropy and dispersion of the vacuum (due to the nature of the SME, this effect is inevitably present in almost all situations considered); non-trivial differences in properties of particles and antiparticles, and particles with different helicities, additional anomalous magnetic moments [@Andrianov_Giacconi_Soldati], [@sme_eff_particles], [@sme_vmm_theory], [@sme_vmm_from_phot]; possible new channels of high-energy reactions (for instance, processes like $ e^{-}
{\rightarrow}e^{-} + \gamma $, $ \gamma {\rightarrow}e^{+} + e^{-} $ [@Zhukovsky_Lobanov_Murchikova]); specific asymmetry of angular distributions of radiation and reaction products (an example of this kind is shown in the present work); effects at finite 