New version of the MSSM scales is discussed. In this version mu << M_{SUSY} ~ M_0 ~ M_{1/2}, where mu is the Higgsino mass, M_0 is the mass scale of sleptons and squarks, M_{1/2} is the mass scale of gaugino. Renormalization group motivation of this MSSM version is proposed. The radiation corrections give main contribution to the splitting of neutralino and chargino masses if M_{SUSY} > 10^7 GeV. Calculation of the mass difference has led to the value M_{chi_1^\pm}-M_{chi_{1,2}^0} ~ 360 MeV at M_{chi} ~ mu ~ 3 TeV. The mean life time of charged Higgsino in this model is tau_{chi_1^\pm} ~ 0.4 * 10^{-9} s. The analysis of the residual neutralino concentration in the cosmological plasma is developed and the value of Higgsino mass is estimated: M_{chi} ~ 3 TeV. Formation of the residual neutralino concentration occurs in the high symmetric phase of the cosmological plasma. Problems of the relic Higgsinos searches at the underground laboratory NUSEL and Galactic neutralino annihilation radiation at the satellite detector GLAST are discussed.

LaTeX 2e, 17 pages, 3 figures, version submitted to journal. Results presented at the International Summer School and Workshop "Hot Points in Astrophysics and Cosmology" (August 2-13, 2004) and the Bogolyubov Conference "Problems of Theoretical and Mathematical Physics" (September 2-6, 2004), BLTP JINR, Dubna