COMPUTING THE WEAK MIXING ANGLE FROM ANOMALY CANCELLATION

被引:83
作者
IBANEZ, LE
机构
[1] CERN
关键词
D O I
10.1016/0370-2693(93)90043-H
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
I remark that the weak mixing angle in the standard model may be computed even in the absence of a grand unification symmetry. In particular, if there is an additional gauged U(1) symmetry at some large scale which can be made anomaly-free only by a Green-Schwarz (GS) mechanism, this typically results in a prediction for the weak angle. In the case of the standard model one can see that the standard Peccei-Quinn symmetry may be gauged and the anomalies cancelled through a GS mechanism. Remarkably enough, cancellation of anomalies works only for the ''canonical'' value sin2theta(w)=3/8. In the case of the supersymmetric standard model one can also find U(1) currents which may be made anomaly-free through a GS mechanism but the canonical value is only obtained in the absence of any Higgs multiplet. If the analysis is extended to include U(1) R-symmetries, there is a unique class of U(1)'s which give rise to the canonical value. The R-symmetry is only anomaly-free for sin2theta(w)=(4N(g)-3)/(10N(g)-3N(D)-3), where N(g), N(D) are the number of generation and Higgs pairs. The natural context in which the above scenario may naturally arise is string theory. I also emphasize other interesting possibilities offered by the GS mechanism to model-building.
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页码:55 / 62
页数:8
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