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Vector and axial-vector correlators in a chirally symmetric model

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arxiv hep-ph/0102260 v2 pith:U5XADWUD submitted 2001-02-21 hep-ph nucl-th

Vector and axial-vector correlators in a chirally symmetric model

classification hep-ph nucl-th
keywords axial-vectorcorrelatorsvectoragreementchannelchirallydecaymodel
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present a chirally symmetric hadronic model for the vector and axial-vector correlators in vacuum. The dominant contributions to these correlators come from intermediate pions, rho and a_1 mesons which are calculated in one-loop approximation. The resulting spectral functions are compared with the data obtained by the ALEPH collaboration from tau decay. In the vector channel we find good agreement up to q^2 = 1 GeV^2, in the transverse axial-vector channel up to q^2 = 2 GeV^2, corresponding to the regimes dominated by two-pion or three-pion decay channels, respectively. The longitudinal axial correlator is in almost perfect agreement with the PCAC result.

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