  Within the low scale resonant leptogenesis scenario, the cosmological CP
asymmetry may arise by radiative corrections through the charged lepton Yukawa
couplings. While in some cases, as one expects, decisive role is played by the
$\lambda_{\tau }$ coupling, we show that in specific neutrino textures only by
inclusion of the $\lambda_{\mu }$ the cosmological CP violation is generated at
1-loop level.
  With the purpose to relate the cosmological CP violation to the leptonic CP
phase $\delta $, we consider an extension of MSSM with two right handed
neutrinos (RHN), which are degenerate in mass at high scales. Together with
this, we first consider two texture zero $3\times 2$ Dirac Yukawa matrices of
neutrinos. These via see-saw generated neutrino mass matrices augmented by
single $\Delta L=2$ dimension five ($\rm d=5$) operator give predictive
neutrino sectors with calculable CP asymmetries. The latter is generated
through $\lambda_{\mu , \tau }$ coupling(s) at 1-loop level. Detailed analysis
of the leptogenesis is performed. We also revise some one texture zero Dirac
Yukawa matrices, considered earlier, and show that addition of a single $\Delta
L=2$, $\rm d=5$ entry in the neutrino mass matrices, together with newly
computed 1-loop corrections to the CP asymmetries, give nice accommodation of
the neutrino sector and desirable amount of the baryon asymmetry via the
resonant leptogenesis even for rather low RHN masses($\sim $few TeV --
$10^7$~GeV).
