Comments on a Flavor Symmetry
Abstract
It is pointed out that if a flavor symmetry (a discrete symmetry, a U(1) symmetry, and so on) exists, we cannot obtain the observed CKM quark mixing matrix Vq and MNS lepton mixing matrix U, even if we can obtain reasonable mass spectra under the symmetry. Such the serious constraint is derived only from the SU(2)L conditions, and we will not assume any explicit flavor symmetry and/or any explicit mass matrix forms. And then, we will discuss the meaning of the severe constraint.
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