The KM phase in semi-realistic heterotic orbifold models

Details The KM phase in semi-realistic heterotic orbifold models The KM phase in semi-realistic heterotic orbifold models

2000-07-18

arxiv.org/abs/hep-ph/0007193v3

Nucl.Phys. B595 (2001) 3-32; Erratum-ibid. B632 (2002) 397-398

Physics

High Energy Physics

High Energy Physics - Phenomenology

Error in Section 2, "Counterexamples," corrected

Scientific paper

10.1016/S0550-3213(00)00620-9

In string-inspired semi-realistic heterotic orbifolds models with an anomalous $U(1)_X$, a nonzero Kobayashi-Masakawa (KM) phase is shown to arise generically from the expectation values of complex scalar fields, which appear in nonrenormalizable quark mass couplings. Modular covariant nonrenormalizable superpotential couplings are constructed. A toy $Z_3$ orbifold model is analyzed in some detail. Modular symmetries and orbifold selection rules are taken into account and do not lead to a cancellation of the KM phase. We also discuss attempts to obtain the KM phase solely from renormalizable interactions.

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