Preliminary BABAR results on B0 mixing with dileptons and on lifetime with partially reconstructed B0 decays

With an integrated luminosity of 7.7 fb{sup -1} collected on resonance by BABAR at the PEP-II asymmetric B Factory, we measure the difference in mass between the neutral B eigenstates, {Delta}m{sub B{sup 0}}, to be (0.507 {+-} 0.015 {+-} 0.022) x 10{sup 12} {Dirac_h} s{sup -1} with dileptons events and present preliminary results for the B{sup 0} lifetime, {tau}{sub B{sup 0}} = 1.55 {+-} 0.05 {+-} 0.07 ps and {tau}{sub B{sup 0}} = 1.62 {+-} 0.02 {+-} 0.09 ps obtained from partial reconstruction of the two B{sup 0} decay processes respectively B{sup 0} {yields} D*{sup -} {pi}{sup +} and B{sup 0} {yields} D*{sup -} {ell}{sup +} {nu}{sub {ell}}.