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We present results for the coupling of the light vector mesons to the tensorcurrent, relative to the standard vector meson decay constants. From anO(a)-improved lattice study, performed at three values of the lattice spacingin the quenched approximation, our final values (in the continuum limit), inthe MS-scheme at 2 GeV, are: (f^T/f)_rho =0.72(2)(+2/-0), (f^T/f)_K* =0.74(2),(f^T/f)_phi =0.76(1).Comment: 15 pages, 4 PostScript figures (typos corrected,results unchanged

Coupling of the light vector meson to the vector and to the tensor current