Generalized Hidden Local Symmetry and the A1 Meson

Bandō, Masako; Fujiwara, Takanori; Yamawaki, Koichi

doi:10.1143/ptp.79.1140

Cited by 117 publications

(213 citation statements)

References 8 publications

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“…As such, these results form a generalization of phenomenological analyses [34] of models of extended electroweak gauge symmetries [35,36] motivated by models of hidden local symmetry [37,38,39,40,41].…”

Section: Introductionmentioning

confidence: 88%

Structure of corrections to electroweak interactions in Higgsless models

et al. 2004

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Recently, "Higgsless" models of electroweak symmetry breaking have been proposed. Based on compactified five-dimensional gauge theories, these models achieve unitarity of electroweak boson self-interactions through the exchange of a tower of massive vector bosons rather than the exchange of a scalar Higgs boson. In this paper, using deconstruction, we analyze the form of the corrections to the electroweak interactions in a large class of these models, allowing for arbitrary 5-D geometry, position-dependent gauge coupling, and brane kinetic energy terms. We show that many models considered in the literature, including those most likely to be phenomenologically viable, are in this class. By analyzing the asymptotic behavior of the correlation function of gauge currents at high momentum, we extract the exact form of the relevant correlation functions at tree-level and compute the corrections to precision electroweak observables in terms of the spectrum of heavy vector bosons. We determine when nonoblique corrections due to the interactions of fermions with the heavy vector bosons become important, and specify the form such interactions can take. In particular we find that in this class of models, so long as the theory remains unitary, S −4 cos 2 θ W T > O(1), where S and T are the usual oblique parameters. We concur with the result of Cacciapaglia et.al. that small or negative S is possible -though only at the expense of substantial negative T at tree-level. Although we stress our results as they apply to continuum 5-D models, they apply also to models of extended electroweak gauge symmetries motivated by models of hidden local symmetry.

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Section: Introductionmentioning

confidence: 88%

Structure of corrections to electroweak interactions in Higgsless models

et al. 2004

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“…which is reduced to the HHH result [8] 13,14] which includes fourteen invariant terms as well [12]. This can be seen just by converting the gauge fields L and R associated with the GHLS …”

Section: The General Solution In the Hhh Formulationmentioning

confidence: 99%

Anomalousω-Z-γvertex from hidden local symmetry

2011

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We formulate the general form of ω-Z-γ vertex in the framework based on the hidden local symmetry (HLS), which arises from the gauge invariant terms for intrinsic parity-odd (IP-odd) part of the effective action. Those terms are given as the homogeneous part of the general solution (having free parameters) to the Wess-Zumino (WZ) anomaly equation and hence are not determined by the anomaly, in sharp contrast to the Harvey-Hill-Hill (HHH) action where the relevant vertex is claimed to be uniquely determined by the anomaly. We show that, even in the framework that HHH was based on, the ω-Z-γ vertex is actually not determined by the anomaly but by the homogeneous (anomaly-free) part of the general solution to the WZ anomaly equation having free parameters in the same way as in the HLS formulation: The HHH action is just a particular choice of the free parameters in the general solution. We further show that the ω-Z-γ vertex related to the neutrino (ν) -nucleon (N ) scattering cross section σ(νN → νN (N ′ )γ) is determined not by the anomaly but by the anomaly-free part of the general solution having free parameters. Nevertheless we find that the cross section σ(νN → νN (N ′ )γ) is related through the Ward-Takahashi identity to Γ(ω → π 0 γ) which has the same parameter-dependence as that of σ(νN → νN (N ′ )γ) and hence the ratio σ(νN → νN (N ′ )γ)/Γ(ω → π 0 γ) is fixed independently of these free parameters. Other set of the free parameters of the general solution can be fixed to make the best fit of the ω → π 0 l + l − process, which substantially differs from the HHH action. This gives a prediction of the cross section σ(νN → νN (N ′ )γ * (l + l − )) to be tested at ν-N collision experiments in the future.

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“…Following the idea of the dimensional deconstruction [10,11,12,13] and the hidden gauge symmetry approach applied to the strong interactions [16,18,19,20,21] and to the electroweak symmetry breaking [9,16,22], we consider K +1 non linear σ-model scalar fields…”

Section: Breakingmentioning

confidence: 99%

Moose models with vanishingSparameter

2004

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In the linear moose framework, which naturally emerges in deconstruction models, we show that there is a unique solution for the vanishing of the S parameter at the lowest order in the weak interactions. We consider an effective gauge theory based on K SU (2) gauge groups, K + 1 chiral fields and electroweak groups SU (2) L and U (1) Y at the ends of the chain of the moose. S vanishes when a link in the moose chain is cut. As a consequence one has to introduce a dynamical non local field connecting the two ends of the moose. Then the model acquires an additional custodial symmetry which protects this result. We examine also the possibility of a strong suppression of S through an exponential behavior of the link couplings as suggested by Randall Sundrum metric.

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Generalized Hidden Local Symmetry and the A1 Meson

Cited by 117 publications

References 8 publications

Structure of corrections to electroweak interactions in Higgsless models

Structure of corrections to electroweak interactions in Higgsless models

Anomalousω-Z-γvertex from hidden local symmetry

Moose models with vanishingSparameter

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