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We analyse the dependence of the rates of the LFV charged lepton decays mu toe + gamma, tau to e + gamma, tau to mu + gamma (l_i to l_j + gamma) and theirratios, predicted in the class of SUSY theories with see-saw mechanism ofnu-mass generation and soft SUSY breaking with universal boundary conditions atthe GUT scale, on the Majorana CP-violation phases in the PMNS neutrino mixingmatrix and the ``leptogenesis'' CP-violating (CPV) parameters. The case ofquasi-degenerate in mass heavy Majorana neutrinos is considered. The analysisis performed for normal hierarchical (NH), inverted hierarchical (IH) andquasi-degenerate (QD) light neutrino mass spectra. We show, in particular, thatfor NH and IH nu-mass spectrum and negligible lightest neutrino mass, all threel_i to l_j + gamma decay branching ratios, BR(l_i to l_j + gamma), depend onone Majorana phase, one leptogenesis CPV parameter and on the 3-neutrinooscillation parameters; if the CHOOZ mixing angle theta_13 is sufficientlylarge, they depend on the Dirac CPV phase in the PMNS matrix. The ``doubleratios'' R(21/31) sim BR(mu to e + gamma)/BR(tau to e + gamma) and R(21/32) simBR(mu to e + gamma)/BR(tau to mu + gamma) are determined by these parameters.The same Majorana phase enters into the NH and IH expressions for the effectiveMajorana mass in neutrinoless double beta decay, <m>.Comment: 27 pages, 5 figures, version to be published in Physical Review

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Charged lepton decays<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>l</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>→</mml:mo><mml:msub><mml:mi>l</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi>γ</mml:mi></mml:math>, leptogenesis<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>C</mml:mi><mml:mi>P</mml:mi></mml:math>-violating parameters and Majorana phases

Charged lepton decaysli→lj+γ, leptogenesisCP-violating parameters and Majorana phases