Little Higgs model with new Z-parity and Dark matter
arXiv:0911.2389 · doi:10.1016/j.physletb.2010.04.035
Abstract
It has been known that Little Higgs models with T-parity, which can give a dark matter candidate, suffer from the anomalies of given models through the Wess-Zumino-Witten term, which in turn can violate the T-parity. Here we thus introduce a new kind of discrete symmetry called Z-parity, which is a residual gauge symmetry of an additional U(1) symmetry of the extended gauge group of the Little Higgs models. Because Z-parity comes from the gauge symmetry, this discrete symmetry not only remains unbroken under the anomalies but also can give the lightest Z-parity particle, which is stable and becomes a viable dark matter candidate. We also show that there is an allowed parameter space in the global symmetry breaking scale f versus the mass of the dark matter, which satisfies the current relic density of the cold dark matter.
Published version in PLB688(2010)323. Title has been changed to avoid the confusion from other paper, which already used X-parity. 15 pages, 2 figures.
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