Lepton number violation: From 0 ν β β decay to long-lived particle searches
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The probability of photon emission by a channeled particle is calculated in the nondipole case. The emission of hard photons with energies comparable with the energy of the incident channeled particle is studied. The quasi-Bloch energy spectrum is calculated for an oriented fast charged particle entering a crystal at angles both smaller and larger than the Lindhard angle. The initial and final spectra of the channeled particle belong to different sets of the wavefunctions of the bands corresponding to different energies. The generation of photons by a quantum particle oriented with respect to the crystal and entering the crystal at angles both larger and smaller than the Lindhard angle are considered on the same basis. It is shown that the emission spectrum of hard photons consists of a set of distinct emission lines.
The mechanism of two-photon dilepton production is studied in the equivalent-photon (Weizsäcker–Williams) approximation. This approximation is shown to describe well experimental data from hadron accelerators. The respective total and differential cross sections were obtained for the LHC and for the Tevatron collider at various energies of colliding hadrons. The differential cross sections were studied versus the dilepton invariant mass, transverse momentum, and emission angle in the reference frame comoving with the center of mass of colliding hadrons. The cases of semielastic and inelastic collisions were examined.
We review some of our results obtained in the field of the structure of PT series in high orders and its resummation in some particular circumstances.