Abstract
We perform a systematic analysis of all possible texture zeros in general and symmetric quark mass matrices. Using the values of masses and mixing parameters at the electroweak scale, we identify for both cases the maximally restrictive viable textures. Furthermore, we investigate the predictive power of these textures by applying a numerical predictivity measure recently defined by us. With this measure we find no predictive textures among the viable general quark mass matrices, while in the case of symmetric quark mass matrices most of the 15 maximally restrictive textures are predictive with respect to one or more light quark masses.
Highlights
One of the most interesting questions of flavour physics is whether mixing angles are related to fermion mass ratios, like in the famous relation [1]
And in the following, quark masses are denoted by mq with q = d, s, b for the downtype quark masses and q = u, c, t for the up-type quark masses
Apart from simplicity, texture zeros have the feature that they are practically synonymous with Abelian symmetries [3]
Summary
One of the most interesting questions of flavour physics is whether mixing angles are related to fermion mass ratios, like in the famous relation [1]. It turned out that in the lepton sector the predictive power of general mass matrices with texture zeros is rather limited even for maximally restrictive textures.
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