Ananthanarayan, Balasubramanian and Moussallam, Bachir (2004) Fourpoint correlator constraints on electromagnetic chiral parameters and resonance effective lagrangians. In: Journal of High Energy Physics, 047 . pp. 142.

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Abstract
We pursue the analysis of a set of generalized DGMLY sum rules for the electromagnetic 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 4point 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 axialvector 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 sumrule relations. An update on the corrections to Dashen's lowenergy theorem is given.
Item Type:  Journal Article 

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Additional Information:  Copyright for this article belongs to Institute of Physics. 
Keywords:  Electromagnetic Processes and Properties;Sum Rules;Phenomenological Models;Chiral Lagrangians 
Department/Centre:  Division of Physical & Mathematical Sciences > Centre for Theoretical Studies 
Date Deposited:  03 Nov 2004 
Last Modified:  19 Sep 2010 04:17 
URI:  http://eprints.iisc.ernet.in/id/eprint/2239 
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