  We demonstrate that the Higgs boson mass can be extracted from the dispersion
relation obeyed by the correlation function of two $b$-quark scalar currents.
The solution to the dispersion relation with the input from the perturbative
evaluation of the correlation function up to next-to-leading order in QCD and
with the $b$ quark mass $m_b=4.43$ GeV demands a specific Higgs mass 114 GeV.
Our observation offers an alternative resolution to the long-standing
fine-tuning problem of the Standard Model (SM): the Higgs mass is determined
dynamically for the internal consistency of the SM. The similar formalism, as
applied to the correlation function of two $b$-quark vector currents with the
same $m_b$, leads to the $Z$ boson mass 90.8 GeV. This solution exists only
when the $Z$ and $W$ boson masses are proportionate, conforming to the Higgs
mechanism of the electroweak symmetry breaking. We then consider the mixing
between the $Q\bar u$ and $\bar Qu$ states for a fictitious heavy quark $Q$ and
a $u$ quark through the $b\bar b$ channel, inspired by our earlier analysis of
neutral meson mixing. Its dispersion relation, given the perturbative input
from the responsible box diagrams and the same $m_b$, fixes the top quark mass
176 GeV. It is highly nontrivial to predict the above electroweak-scale masses
with at most 9\% deviation from their measured values using the single
parameter $m_b$. More accurate results are expected, as more precise
perturbative inputs are adopted.
