Relations between anomalous and even-parity sectors in AdS/QCD

TL;DR

This paper explores the connection between anomalous and even-parity sectors in AdS/QCD by deriving the O(p6) Chiral Perturbation Theory Lagrangian and revealing universal relations among low-energy constants.

Contribution

It derives the O(p6) Lagrangian in AdS/QCD models and uncovers universal relations linking odd and even parity low-energy constants.

Findings

Odd O(p6) couplings relate to O(p4) constants.

Certain O(p6) couplings are universal across models.

Relations reflect broader links between anomalous and even-parity amplitudes.

Abstract

We derive the O(p6) Chiral Perturbation Theory Lagrangian in the massless quark limit for a class of gravity dual models of Quantum Chromodynamics with the chiral symmetry broken through boundary conditions. The odd O(p6) couplings are related to the O(p4) low-energy constants (LEC's) in the even-parity sector. Some combinations of even O(p6) couplings are found to be universal and independent of the peculiarities of the model. These relations turn out to be the manifestation at low energies of a broader relation between anomalous and even-parity amplitudes.