  In this paper we consider the nature of the cosmological constant as due by
quantum fluctuations. Quantum fluctuations are generated at Planckian scales by
noncommutative effects and watered down at larger scales up to a decoherence
scale $L_D$ where classicality is reached. In particular, we formally depict
the presence of the scale at $L_D$ by adopting a renormalization group
approach. As a result, an analogy arises between the expression for the
observed cosmological constant $\overline{\Lambda}$ generated by quantum
fluctuations and the one expected by a renormalization group approach, provided
that the renormalization scale $\mu$ is suitably chosen. In this framework, the
decoherence scale $L_D$ is naturally identified with the value ${\mu}_D$, with
$\hbar{\mu}_D$ representing the minimum allowed particle-momentum for our
visible universe. Finally, by mimicking renormalization group approach, we
present a technique to formally obtain a non-trivial infrared (IR) fixed point
at $\mu=\mu_D$ in our model
