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Leptonic CP Violating Phase $ \delta_{CP} $ in the light neutrino sector andleptogenesis via present matter antimatter asymmetry of the Universe entailseach other. Probing CP violation in light neutrino oscillation is one of thechallenging tasks today. The reactor mixing angle $ \theta_{13} $ measured inreactor experiments, LBL, DUNE with high precision in neutrino experimentsindicates towards the vast dimension of scope to detect $ \delta_{CP} $. Thecorrelation between leptonic Dirac CPV phase $ \delta_{CP} $, reactor mixingangle $ \theta_{13} $, lightest neutrino mass $ m_{1} $ and matter antimatterasymmetry of the Universe within the framework of $ \mu-\tau $ symmetrybreaking assuming the type I seesaw dominance is extensively studied here.Small tiny breaking of the $ \mu-\tau $ symmetry allows a large Dirac CPviolating phase in neutrino oscillation which in turn is characterised byawareness of measured value of $ \theta_{13} $ and to provide a hint towards abetter understanding of the experimentally observed near maximal value of $\nu_{\mu} -\nu_{\tau} $ mixing angle $ \theta_{23}\simeq \frac{\pi}{4}$.Precise breaking of the $ \mu-\tau $ symmetry is achieved by adding a 120 pletHiggs to the 10 $+$ $\bar{126}$ dimensional representation of Higgs. Theestimated three dimensional density parameter space of lightest neutrino mass $m_{1} $, $ \delta_{CP} $, reactor mixing angle $ \theta_{13} $, is constrainedhere for the requirement of producing the observed value of baryon asymmetry ofthe Universe through the mechanism of leptogenesis. Carrying out numericalanalysis the allowed parameter space of $ m_{1} $, $ \delta_{CP} $, $\theta_{13} $, is found out which can produce the observed baryon to photondensity ratio of the Universe.

advances in high energy physics

Significance of broken $ \mu-\tau $ Symmetry in correlating $  \delta_{CP} $, $ \theta_{13} $, Lightest neutrino Mass and neutrinoless  double beta decay $ 0\nu\beta\beta $