Resonance saturation in the odd-intrinsic parity sector of low-energy QCD

TL;DR

This paper constructs a comprehensive chiral resonance Lagrangian in the odd-intrinsic parity sector using large N_C approximation, deriving low-energy constants and analyzing QCD Green functions to predict contributions to muon g-2.

Contribution

It introduces the most general resonance Lagrangian in the odd-intrinsic parity sector up to O(p^6) and derives relations for resonance couplings under high energy constraints.

Findings

Derived low-energy chiral constants up to O(p^6)

Calculated QCD Green functions <VVP> and <VAS>

Predicted pi0-pole contribution to muon g-2: 65.8(1.2)×10^{-11}

Abstract

Using the large N_C approximation we have constructed the most general chiral resonance Lagrangian in the odd-intrinsic parity sector that can generate low energy chiral constants up to O(p^6). Integrating out the resonance fields these O(p^6) constants are expressed in terms of resonance couplings and masses. The role of eta' is discussed and its contribution is explicitly factorized. Using the resonance basis we have also calculated two QCD Green functions of currents: <VVP> and <VAS> and found, imposing high energy constraints, additional relations for resonance couplings. We have studied several phenomenological implications based on these correlators from which let us mention here our prediction for the pi0-pole contribution to the muon g-2 factor: $a_\mu^{\pi^0} = 65.8(1.2)\times 10^{-11}$.