  We study non-perturbatively the effect of the deflection angle on the BAO
wiggles of the matter power spectrum in real space. We show that from redshift
z~2 this introduces a dispersion of roughly 1 Mpc at BAO scale, which
corresponds approximately to a 1% effect. The lensing effect induced by the
deflection angle, which is completely geometrical and survey independent,
smears out the BAO wiggles. The effect on the power spectrum amplitude at BAO
scale is about 0.1% for z~2 and 0.2% for z~4. We compare the smoothing effects
induced by the lensing potential and non-linear structure formation, showing
that the two effects become comparable at z~4, while the lensing effect
dominates for sources at higher redshifts. We note that this effect is not
accounted through BAO reconstruction techniques.
