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In the two body hadronic tau decays, such as tau->to K pi (eta)nu, vectormesons play important role. Belle and Babar measured hadronic invariant massspectrum of tau -> K pi nu decay. To compare the spectrum with theoreticalprediction, we develop the chiral Lagrangian with vector mesons inKimura:2012nx. We compute the form factors of the hadronic tau decay takingaccount of the quantum corrections of Nambu Goldstone bosons. We also show howto renormalizethe divergence of the Feynman diagrams with arbitrary number ofloops and determine the counterterms within one loop using background fieldmethod.In this report, we discuss the renormalization of Kimura:2012nx byconsidering the one loop Feynman diagrams.

The form factors for hadronic tau decay using background field method