Extracting Br(omega->pi^+ pi^-) from the Time-like Pion Form-factor

Abstract

We extract the G-parity-violating branching ratio Br(omega->pi^+ pi^-) from the effective rho-omega mixing matrix element Pi_{rho omega}(s), determined from e^+e^- -> pi^+ pi^- data. The omega->pi^+ pi^- partial width can be determined either from the time-like pion form factor or through the constraint that the mixed physical propagator D_{rho omega}^{mu nu}(s) possesses no poles. The two procedures are inequivalent in practice, and we show why the first is preferred, to find finally Br(omega->pi^+ pi^-) = 1.9 +/- 0.3%.

12 pages (published version)

References in corpus (1)

• ${\rho }^0-\omega$ mixing in U(3)}${}_L\times$ U(3)${}_R$ chiral theory of mesons

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