Just to complete the topic of the SM
I quote from a famous Roger Penrose's book
By the way he is against the string theory
Not only he is also against the opinion that modern physics is pure math

I own the italian text , sorry for the poor traslation

chapter 25.8 Beyond the standard model ?

" It is evident that SM can not be the final answer as far as the physics of the particles are concerned.
It contains many non explained parts
....
It includes about 17 parameters which must simply be taken from experience
( Such as the Cabibbo and Weinberg angles, the lepton and quark masses and a certain number of other characteristics)..."