Mixing of pseudoscalar mesons and isospin symmetry breaking

Abstract

Mixing of the pseudoscalar mesons is discussed in the quark-flavor basis with the hypothesis that the basis decay constants follow the pattern of particle state mixing. The divergences of the axial vector currents which embody the axial vector anomaly, combined with this hypothesis provide a calculational scheme for the parameters describing the mixing of the pion, eta and eta' mesons. Phenomenological applications of this mixing scheme are presented with particular interest focussed on isospin symmetry breaking in QCD estimated as eta and eta' admixtures to the pion. In contrast to previous work a possible difference in the basis decay constants f_u and f_d is considered and consequences of this potentially large effect on the strength of isospin symmetry breaking is discussed.

10 pages, (using LATEX with w-ijmpa.sty), invited talk presented at MESON 2004, 8th Intern. Workshop on Meson Production, Properties and Interactions

Cited by in corpus (19)

• Quark matter may not be strange
• Composition of the Pseudoscalar Eta and Eta' Mesons
• Masses of doubly heavy-quark baryons in an extended chromomagnetic model
• Isospin analysis of charmless B-meson decays
• Towards a Precision Determination of alpha in B \to pi pi Decays
• Effective multi-quark interactions with explicit breaking of chiral symmetry
• BHLS${}_2$ Upgrade : $\tau$ spectra, muon HVP and the [${\pi }^0,\eta ,{\eta }^{\prime }$] System
• Magnetic field induced corrections to the NJL model coupling constant from vacuum polarization
• Strangeness content of the pion in the U(3) Nambu-Jona-Lasinio model
• Deuteron EDM induced by CP violating couplings of pseudoscalar mesons
• The ${\pi }^0-\eta -{\eta }^{\prime }$ mixing in a generalized multi-quark interaction scheme
• Search for $\psi (3686)\to \gamma {\eta }_c(\eta (1405))\to \gamma {\pi }^{+}{\pi }^{-}{\pi }^0$
• Investigating $D_s^{+}\to {\pi }^0{\ell }^{+}{\nu }_{\ell }$ decay process within QCD sum rule approach
• Quark-antiquark states of the lightest scalar mesons within the Nambu-Jona-Lasinio model with flavor-dependent coupling constants
• Penguin pollution estimates relevant for phi_2/alpha extraction
• New Physics Through Rare Decays Of Mesons
• Charged pions asymmetry from the decay of light neutral axial mesons due to interference
• Symmetry breaking effects in pion couplings to constituent quark currents
• Charmonium Review