  Quark has an electric charge either $-1/3$ or $2/3$ and a baryon number
$1/3$, where the divisions $3$'s match the color number. Although the electric
charge and the baryon number have a nature distinct from the color charge, the
matching is necessary for the standard model or a relevant $B-L$ extension
consistent at quantum level, since the relevant anomaly $[SU(2)_L]^2U(1)_A$ for
$A=Y$ or $B-L$ must vanish. If elementary particles have a new $U(1)$ charge
differently from $A$, such anomaly is not cancelled for each family. However,
if we demand that the anomaly is cancelled over all families, this relates the
color number to the family number instead of the electric charge and baryon
number, and interestingly the family number guides us to a novel $U(1)$ theory.
We will discuss the implication of this theory for neutrino mass, recent
$W$-boson mass anomaly, FCNC, and particle colliders.
