  We present the explicit construction of the effective field theory (EFT) of
standard model mass eigenstates. The EFT, which is invariant under
$U(1)_{\text{e.m.}}\times SU(3)_c$, is constructed based on the on-shell method
and Young Tableau technique. This EFT serves as a new formulation of the Higgs
EFT (HEFT), which can describe the infrared effects of new physics at the
electroweak symmetry-breaking phase with greater conciseness. The current HEFT
operator basis has a clear physical interpretation, making it more accessible
for research in phenomenology. A complete list of HEFT operator bases for
any-point vertices up to any dimension could be provided, and three- and
four-point bases are provided as examples. Additionally, this framework
realized as a Mathematica program can be used to construct the EFT of any type
of dark matter or particles with any spin.
