Solution of the Strong CP problem in the low energy effective Standard Model

Details Solution of the Strong CP problem in the low energy effective Standard Model Solution of the Strong CP problem in the low energy effective Standard Model

1994-06-28

arxiv.org/abs/hep-ph/9406415v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

IP/BBSR/93-79, ReVTeX, 11pages

Scientific paper

We consider the low energy effective chiral theory of QCD mesons and the electroweak Goldstone bosons. In this effective theory the pion sector contributes to the gauge boson masses and the Yukawa couplings of the fermions. Consequently the Yukawa sector of quarks and leptons can have a $SU(2)_L\times U(1)_Y\times U(1)_A$ global symmetry even with nonvanishing fermion masses. The extra chiral $U(1)_A$ symmetry can be used to rotate the CP violating $\bar \theta G\tilde G $ term away which therefore makes no contribution to low energy CP violating effects like the neutron electric dipole momment. The Goldstone mode associated with this $U(1)_A$ symmetry may be identified with the $SU(2)$ singlet meson $\eta_0$.

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