  In the two body hadronic tau decays, such as tau->to K pi (eta)nu, vector
mesons play important role. Belle and Babar measured hadronic invariant mass
spectrum of tau -> K pi nu decay. To compare the spectrum with theoretical
prediction, we develop the chiral Lagrangian with vector mesons in
Kimura:2012nx. We compute the form factors of the hadronic tau decay taking
account of the quantum corrections of Nambu Goldstone bosons. We also show how
to renormalizethe divergence of the Feynman diagrams with arbitrary number of
loops and determine the counterterms within one loop using background field
method.In this report, we discuss the renormalization of Kimura:2012nx by
considering the one loop Feynman diagrams.
