Two loop analysis of axial vector current propagators in chiral perturbation theory

We perform a calculation of the isospin and hypercharge axialvector current propagators to two loops in SU(3)xSU(3) chiral perturbation theory. A large number of order p^6 divergent counterterms are fixed, and complete two-loop renormalized expressions for the pion and eta masses and decay constants are given. The calculated isospin and hypercharge axialvector polarization functions are used as input in new chiral sum rules, valid to second order in the light quark masses. Some phenomenological implications of these sum rules are considered.

symmetry: SU(3) x SU(3)
perturbation theory: chiral
perturbation theory: higher-order
current: axial-vector
propagator
isospin: polarization
hypercharge: polarization
sum rule: chiral
pi: mass
eta: mass

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