Partial waves and large $N_C$ resonance sum rules

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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discussions expanded, reference added, version to be published in JHEP

Scientific paper

10.1088/1126-6708/2007/06/030

Using $1/N_C$ expansion and dispersion theory techniques, without relying on
any explicit resonance lagrangian, we generalize the KSRF relation beyond the
leading chiral order. Two sum rules for the low energy constants $L_2$, $L_3$
and a new relation between resonance couplings are derived. A rather detailed
examination to the new relation is also given.

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