Chiral Symmetry Breaking, Duality in the \bar{Q}q Channel and b -> c anti-c s Decays

Abstract

We address the issue of the quark-hadron duality in the spectral densities induced by the heavy-light quark currents anti-Q q. In the limit m_Q ->oo, m_q ->0 we observe an enhancement of the physical spectral density compared to the quark one in the scalar and axial channels, due to the Goldstone meson contributions. This may imply that the scale where duality sets in is higher in these channels than in the vector (pseudoscalar) case. Implications for the nonleptonic decays of B mesons (the b -> c anti-c s transition) are considered. We discuss in detail the decay pattern and obtain an independent estimate of the "wrong" sign D yield.

24 pages, 2 Figures included; LaTeX; Minor stylistic changes, typos corrected, two references fixed

References in corpus (5)

• Leptonic and Semileptonic Decays of Charm and Bottom Hadrons
• Nonleptonic Decays and Lifetimes of b-quark and c-quark Hadrons
• QCD Sum Rules for Masses of Excited Heavy Mesons
• Lattice Results For Heavy Quark Physics
• Second order QCD corrections to the nonleptonic decay of the $b$ quark in the slow charm limit

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• Contribution of $DK$ Continuum in the QCD Sum Rule for $D_{sJ}(2317)$
• The effect of $B\pi$ continuum in the QCD sum rules for the $(0^{+},1^{+})$ heavy meson doublet in HQET
• Measuring $\beta$ in $B\to D^{\ast +}{D}^{\ast -}{K}_s$ Decays
• Parton-Hadron duality in QCD sum rules: quantum mechanical examples
• Search for the Decay $B\to D_{s1}^{+}(2536)X$
• Revisiting quark-hadron duality for heavy meson non-leptonic decays in two-dimensional QCD
• How quark hadron duality in QCD may work