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Radiative corrections to the spectra of heavy particles annihilation into leptons: Dark matter implementation

We calculate the radiative corrections to the annihilation of the Dark Matter particles into leptons. Lepton masses are taken into account. As the Dark Matter particles are considered both Dirac and Majorana fermions. We sum up all the leading logarithms contributions where it is possible. We show that in the Dirac fermion case the resulting cross-section is consistent with the renormalization group prediction: the cross-section have the Drell-Yan form. Whereas, in the Majorana fermions case we have two essentially different limits of the resulting cross-section and quantitively the answer strongly depends on a spectrum of the masses entering the problem.