English

Novel patterns for vector mesons from the large-Nc limit

High Energy Physics - Phenomenology 2008-11-26 v1

Abstract

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.

Cite

@article{arxiv.0801.4374,
  title  = {Novel patterns for vector mesons from the large-Nc limit},
  author = {O. Cata and V. Mateu},
  journal= {arXiv preprint arXiv:0801.4374},
  year   = {2008}
}

Comments

7 pages

R2 v1 2026-06-21T10:07:18.707Z