  Inspired by the experimental anomalies in neutrino physics and recent
oscillation data from short baseline and another neutrino experiment, the
realization of one extra neutrino flavor seem to be favoring. This extra flavor
may change the observable, $|m_{\beta\beta}|$ of currently data taking and
next-generation $(\beta\beta)_{0\nu}$-decay experiments aim to probe and
possibly look the Inverted Ordering region($|m_{\beta\beta}| \simeq 10^{-2}$eV)
of parameter space. This observation would allow establishing physics beyond
the standard model and phenomena like lepton number violation and Majorana
nature of neutrino. The range of this observable ($|m_{\beta\beta}|$) is not
very well defined for both the ordering of mass spectrum(Normal Ordering and
Inverted Ordering). Several attempts have been made for defining exactly the
range for three active neutrino states. For contrasting this range, I have
worked with an extra mass states, $\nu_{4}$ and its effect on the observable
with various combination of CP violation Majorana phases by taking into account
the updated data on the neutrino oscillation parameters for IO case. Based on
the Monte Carlo technique, a parameter region is obtained using the fourth
Majorana-Dirac phase of sterile parameters that lead to an effective mass below
0.01 eV or .05 eV for inverted mass ordering case which is planned to be
observed in the near future experiment.
