Thanks for this nice post. Although it is running quite late here, I wanted to have a look before going to bed... and I end up with a bunch of small remarks, mostly to trigger discussions on points that I think may require some clarifications or extra pieces of information.

Whereas you mentioned 4 parameters for the neutrino sector, we may in fact have 6 of them. If neutrinos are their own antiparticles, then two extra parameters (the so-called Majorana phases) are needed. For now, both this option and the one in which neutrinos and antineutrinos are different are allowed. So we don't know whether we need 4 or 6 parameters.

Moreover, as neutrinos masses are a fact, some neutrinos (but not all) can still be massless. Data indeed forbids having three massless beasts.

As a next item, you choose for the electroweak inputs the mass of the W boson, the mass of the Z boson and the fine structure constant. Often we prefer to rely on the Fermi constant instead of the W boson mass as an input, the W-boson mass being then a derived parameter. The reason is that the Z-boson mass, the Fermi constant and the electromagnetic structure constant consist of the set of inputs with the smallest experimental errors.

Finally, I must say that I disagree with the title of the post (sorry about this ;). All masses that you mentioned are dimensional parameters, and not dimensionless ones.

Cheers!