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

We present results for the coupling of the light vector mesons to the tensor current, relative to the standard vector meson decay constants. From an O(a)-improved lattice study, performed at three values of the lattice spacing in the quenched approximation, our final values (in the continuum limit), in the 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).