Two-loop Analysis of Axialvector Current Propagators in Chiral Perturbation Theory

Abstract

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.

51 pages, LaTeX, 7 figures

References in corpus (4)

• The Standard Model Effective Potential at Two Loops
• Corrections to Sirlin's Theorem in $O(p^6)$ Chiral Perturbation Theory
• Chiral sum rules to second order in quark mass
• The DMO Sum Rule Revisited

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