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Quantum Loops in the Resonance Chiral Theory: The Vector Form Factor

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arxiv hep-ph/0407240 v1 pith:J7SS65H3 submitted 2004-07-21 hep-ph

classification hep-ph
keywords chiralresonancecalculationtheorycouplingsfactorformlimit
verification ladder T0 review T1 audit T2 compute T3 formal

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We present a calculation of the Vector Form Factor at the next-to-leading order in the 1/N_C expansion, within the framework of Resonance Chiral Theory. The calculation is performed in the chiral limit, and with two dynamical quark flavours. The ultraviolet behaviour of quantum loops involving virtual resonance propagators is analyzed, together with the kind of counterterms needed in the renormalization procedure. Using the lowest-order equations of motion, we show that only a few combinations of local couplings appear in the final result. The low-energy limit of our calculation reproduces the standard Chiral Perturbation Theory formula, allowing us to determine the resonance contribution to the chiral low-energy couplings, at the next-to-leading order in 1/N_C, keeping a full control of their renormalization scale dependence.

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Cited by 3 Pith papers

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  1. Unified study of scalar, vector and tensor two-meson form factors in $U(3)$ resonance chiral theory

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    Calculates and unitarizes scalar, vector, and tensor two-meson form factors in U(3) resonance chiral theory using parameters from previous meson-meson scattering studies.

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    Chiral effective field theory and resonance chiral theory yield cross sections for e+e- to four pions that are one to two orders smaller than data, with hadronic vacuum polarization contributions to (g-2)μ of (0.680±0...

  3. Hadronic tau decays

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