Home | About | Browse | Latest Additions | Advanced Search | Contact | Help

# Four-point correlator constraints on electromagnetic chiral parameters and resonance effective lagrangians

Ananthanarayan, Balasubramanian and Moussallam, Bachir (2004) Four-point correlator constraints on electromagnetic chiral parameters and resonance effective lagrangians. In: Journal of High Energy Physics, 047 . pp. 1-42.

 Preview
PDF
A5four06-anant.pdf

Download (828Kb)

## Abstract

We pursue the analysis of a set of generalized DGMLY sum rules for the electro-magnetic chiral parameters at order $e^{\mathrm{2}}p^{\mathrm{2}}$ and discuss implications for effective lagrangians with resonances. We exploit a formalism in which charge spurions are introduced and treated as sources. We show that no inconsistency arises from anomalies up to quadratic order in the spurions. We focus on the sum rules associated with QCD 4-point correlators which were not analyzed in detail before. Convergence properties of the sum rules are deduced from a general analysis of the form of the counterterms in the presence of electromagnetic spurions. Following the approach in which vector and axial-vector resonances are described with antisymmetric tensor fields and have a chiral order, we show that the convergence constraints are violated at chiral order four and can be satisfied by introducing a set of terms of order six. The relevant couplings get completely and uniquely determined from a set of generalized Weinberg sum-rule relations. An update on the corrections to Dashen's low-energy theorem is given.

Item Type: Journal Article http://www.iop.org/EJ/article/1126-6708/... Copyright for this article belongs to Institute of Physics. Electromagnetic Processes and Properties;Sum Rules;Phenomenological Models;Chiral Lagrangians Division of Physical & Mathematical Sciences > Centre for Theoretical Studies 03 Nov 2004 19 Sep 2010 04:17 http://eprints.iisc.ernet.in/id/eprint/2239

### Actions (login required)

 View Item