2007
DOI: 10.1103/physrevd.76.115014
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T-parity violation by anomalies

Abstract: Little Higgs theories often rely on an internal parity ("T -parity") to suppress non-standard electroweak effects or to provide a dark matter candidate. We show that such a symmetry is generally broken by anomalies, as described by the Wess-Zumino-Witten term. We study a simple SU (3) × SU (3)/SU (3) Little Higgs scheme where we obtain a minimal form for the topological interactions of a single Higgs field. The results apply to more general models, including [SU (3) × SU (3)/SU (3)] 4 , SU (5)/SO(5), and SU (6… Show more

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Cited by 162 publications
(268 citation statements)
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References 40 publications
(32 reference statements)
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“…A more complicated construction can be applied to the non-abelian factors of the SM allowing to get light chiral fermions, and again one finds potential vector or fermion DM candidates. UV completions the little-Higgs models usually render the permutation symmetry anomalous [29], ruining the stability of DM. In the Universal Extra Dimension context, the problem is that truly universal extra dimensions do not give chiral fermions, so that one needs to add extra structures such as boundaries: divergent quantum corrections generate operators there localized, ruining the 'universality'.…”
Section: Dm Annihilations Into Two Massive Vectors Wmentioning
confidence: 99%
“…A more complicated construction can be applied to the non-abelian factors of the SM allowing to get light chiral fermions, and again one finds potential vector or fermion DM candidates. UV completions the little-Higgs models usually render the permutation symmetry anomalous [29], ruining the stability of DM. In the Universal Extra Dimension context, the problem is that truly universal extra dimensions do not give chiral fermions, so that one needs to add extra structures such as boundaries: divergent quantum corrections generate operators there localized, ruining the 'universality'.…”
Section: Dm Annihilations Into Two Massive Vectors Wmentioning
confidence: 99%
“…As was shown in Ref. [6], this WZW term would be odd under T-parity, leading to the decay of the lightest T-odd particle [8]. However, recently it was shown that a parity can be implemented in a different way such that that it leaves the WZW term invariant [9].…”
Section: The Little Higgs and T-paritymentioning
confidence: 99%
“…[6] it was argued that this picture is not complete, but that a Wess-Zumino-Witten (WZW) term [7] should be added to the Lagrangian of the model. WZW terms typically occur if the symmetry breaking at the scale Λ is facilitated by some strong dynamics.…”
Section: The Little Higgs and T-paritymentioning
confidence: 99%
“…Also, notice that the (%) reduction in Fig. (4) is entirely due to the cosine of the tT mixing angle c L , which according to formula (17) tends to 1 when either…”
Section: Thetbw + Coupling In the Lht Modelmentioning
confidence: 99%
“…Electroweak precision constraints for the LHT model allow the scale f to be as low as ∼ 500 GeV [15]. This model has therefore received more attention recently, with many phenomenological studies on production and decays of the new heavy particles [16] as well as theoretical studies such as T-parity violation [17], top quark induced vacuum alignment [18], and two vacuum expectation value (VEV) scales f in LH models [19].…”
Section: Introductionmentioning
confidence: 99%