Novel patterns for vector mesons from the large-Nc limit

Details Novel patterns for vector mesons from the large-Nc limit Novel patterns for vector mesons from the large-Nc limit

2008-01-28

arxiv.org/abs/0801.4374v1

Phys.Rev.D77:116009,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages

Scientific paper

10.1103/PhysRevD.77.116009

We report on a relation between the decay constants of \rho-like J^{PC}=1^{--} vector mesons, which arises solely from the perturbative analysis of the VV, TT and VT correlators at order \alpha_s^0 in the large-N_c limit. We find f_{V}^T/f_{V}=1/\sqrt{2} for highly excited states together with a pattern of alternation in sign. Quite remarkably, recent lattice determinations reported f_{\rho}^T/f_{\rho}=0.72(2), in excellent agreement with our large-N_c result. This seems to suggest a pattern like f_{Vn}^T/f_{Vn}=(-1)^n/\sqrt{2} for the whole (1^{--}) states. In order to test this conjecture in real QCD we construct a set of spectral sum rules, which turn out to comply nicely with this scenario.

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