Paper detail

Two variations on the theme of Yang and Mills -- the SM and the FSM

The standard model (SM) is viewed as a variation on the Yang-Mills theory with gauge symmetry $u(1) \times su(2) \times su(3)$, in which the flavour symmetry is framed and to which 3 generations of quarks and leptons are appended as inputs from experiment. The framed standard model (FSM) is then a further variation on the SM in which the colour symmetry is also framed, where the 3 generations now follow as consequences together with their characteristic mass and mixing patterns. In addition, the FSM yields as a bonus a solution to the strong CP problem leading to a unified treatment seemingly of all known CP physics for both quarks and leptons. It predicts, however, also a "hidden" sector populated by particles yet unknown, hence full both of promises (e.g.\ dark matter?) and of threats, which is just beginning to be explored (i) with a modified Weinberg mixing and (ii) with the $g-2$ and some other anomalies.