Holography, chiral Lagrangian and form factor relations

TL;DR

This paper derives low-energy constants in Chiral Perturbation Theory at order p^6 using gravity dual models of QCD, revealing universal relations between form factors and sector couplings.

Contribution

It provides a systematic derivation of O(p^6) low-energy constants from holographic QCD models, establishing universal relations and comparing with phenomenological data.

Findings

Universal determination of odd sector constants from even sector at O(p^4).

Derived relations between form factors like gamma*->pi pi and pi->gamma gamma*.

Estimates agree with existing phenomenological analyses.

Abstract

We derive all the O(p^6) Chiral Perturbation Theory low-energy constants from a class of gravity dual models of QCD described by the Yang-Mills and Chern-Simons Lagrangian terms, with the chiral symmetry broken through boundary conditions in the infrared. All the constants of the odd intrinsic parity sector are universally determined by those at O(p^4) in the even sector, together with an extra resonance term. A few relations for the even sector couplings are also extracted. Our estimates reasonably agree with the few available O(p^6) determinations from alternative phenomenological analyses. Some of the relations between low-energy constants are the manifestation, at large distances, of universal relations that we find between form factors in the even and odd sectors, e.g., between the gamma*->pi pi and pi->gamma gamma* matrix elements.