Computation of the p6 order chiral Lagrangian coefficients from the underlying theory of QCD

TL;DR

This paper computes the p6 order low energy constants in the chiral Lagrangian for two and three flavor mesons, extending previous work on p4 coefficients, and compares results with existing literature.

Contribution

It introduces a method to calculate p6 order coefficients from QCD, generalizing earlier p4 calculations based on quark self-energy.

Findings

Most results align with existing literature.

Provides a systematic approach for p6 coefficient computation.

Extends previous p4 coefficient calculations.

Abstract

We present results of computing the p6 order low energy constants in the normal part of chiral Lagrangian both for two and three flavor pseudo-scalar mesons. This is a generalization of our previous work on calculating the p4 order coefficients of the chiral Lagrangian in terms of the quark self energy Sigma(p2) approximately from QCD. We show that most of our results are consistent with those we can find in the literature.