pi+ pi0 Mass Difference in the Hidden Local Symmetry: A Dynamical Origin of Little Higgs

Abstract

We calculate pi+ pi0 mass difference $\Delta m_{\pi }^2\equiv m_{{\pi }^{+}}^2-m_{{\pi }^0}^2$ in the Hidden Local Symmetry (HLS) model, based on the Wilsonian matching and Wilsonian renormalization-group equations. Even without a1 meson the result agrees well with the experiment in sharp contrast to the conventional approach where the a1 meson plays a crucial role. For large Nf QCD, there arises a large hierarchy between $\Delta m_{\pi }^2$ and the pi decay constant $F_{\pi }^2$, $\Delta m_{\pi }^2/F_{\pi }^2\ll 1$, near the critical point where the chiral symmetry gets restored as the vector manifestation and the HLS model becomes a little Higgs model with two sites and two links, with the dynamically generated gauge coupling of the composite rho becoming vanishingly small.

arXiv comment4 pages

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Cited by in corpus (9)

• Study of Strangeness Condensation by Expanding About the Fixed Point of the Harada-Yamawaki Vector Manifestation
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• Little Technicolor
• pi^+ - pi^0 mass difference from the Bethe-Salpeter equation
• Generalized Weinberg Sum Rules in Deconstructed QCD
• Weinberg like sum rules revisited
• (Reverse) Engineering Vacuum Alignment
• Kaon-Soliton Bound State Approach to the Pentaquark States
• Pentaquarks, Skyrmions and the Vector Manifestation of Chiral Symmetry