  We investigate whether the Standard Model, within the accuracy of current
experimental measurements, satisfies the Hodge duality condition introduced and
studied in Dabrowski, D'Andrea, Sitarz, Lett Math Phys (2018) 108:1323. We show
that the neutrino and quark mass-mixing and the difference of fermion masses is
necessary for this property. We demonstrate that the current data supports the
new geometric feature of the Standard Model, Hodge duality, provided that all
neutrinos are massive.
