  The spin-charge-family theory predicts the existence of the fourth family to
the observed three. The $4 \times 4$ mass matrices --- determined by the
nonzero vacuum expectation values of the two triplet scalars, the gauge fields
of the two groups of $\widetilde{SU}(2)$ determining family quantum numbers,
and by the contributions of the dynamical fields of the two scalar triplets and
the three scalar singlets with the family members quantum numbers
($\tau^{\alpha}=(Q, Q',Y')$) --- manifest the symmetry $\widetilde{SU}(2)
\times \widetilde{SU}(2) \times U(1)$. All scalars carry the weak and the hyper
charge of the standard model higgs field ($\pm \frac{1}{2},\mp \frac{1}{2}$,
respectively). It is demonstrated, using the massless spinor basis, that the
symmetry of the $4\times4$ mass matrices remains $SU(2) \times SU(2) \times
U(1)$ in all loop corrections, and it is discussed under which conditions this
symmetry is kept under all corrections, that is with the corrections induced by
the repetition of the nonzero vacuum expectation values included.
