  The relativistic invariant zeta-function approach to computation of the
vacuum energy contribution to cosmological constant is discussed. It is shown
that this value is determined by the fourth power of the quantized field mass,
while the dependence from the large mass scale is only logarithmic. This value
is compared to the result obtained in the dimensional regularization scheme
which also satisfies the relativistic invariance condition, and found to be the
same up to irrelevant finite terms. The consequences of the renormalization
group invariance are also briefly discussed.
