New Angle on the Strong CP and Chiral Symmetry Problems from a Rotating Mass Matrix

Details New Angle on the Strong CP and Chiral Symmetry Problems from a Rotating Mass Matrix New Angle on the Strong CP and Chiral Symmetry Problems from a Rotating Mass Matrix

2007-07-23

arxiv.org/abs/0707.3358v1

Int.J.Mod.Phys.A24:101-112,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages

Scientific paper

10.1142/S0217751X09042633

It is shown that when the mass matrix changes in orientation (rotates) in generation space for changing energy scale, then the masses of the lower generations are not given just by its eigenvalues. In particular, these masses need not be zero even when the eigenvalues are zero. In that case, the strong CP problem can be avoided by removing the unwanted $\theta$ term by a chiral transformation in no contradiction with the nonvanishing quark masses experimentally observed. Similarly, a rotating mass matrix may shed new light on the problem of chiral symmetry breaking. That the fermion mass matrix may so rotate with scale has been suggested before as a possible explanation for up-down fermion mixing and fermion mass hierarchy, giving results in good agreement with experiment.

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