Determination of the form factors for the decay B(0)-> D*(-)l(+)nu(l) and of the CKM matrix element vertical bar Vcb vertical bar RID A-8798-2012 RID C-5223-2009 RID C-5719-2008 RID D-1055-2009

We present a combined measurement of the Cabibbo-Kobayashi-Maskawa matrix element vertical bar V(cb vertical bar) and of the parameters rho(2), R(1)(1), and R(2)(1), which fully characterize the form factors for the B(0)-> D*(-)center dot(+)nu(center dot) decay in the framework of heavy-quark effective field theory. The results, based on a selected sample of about 52 800 B(0)-> D*(-)center dot(+)nu(center dot) decays, recorded by the BABAR detector, are rho(2)=1.157 +/- 0.094 +/- 0.027, R(1)(1)=1.327 +/- 0.131 +/- 0.043, R(2)(1)=0.859 +/- 0.077 +/- 0.021, and F(1)vertical bar V(cb vertical bar)=(34.7 +/- 0.4 +/- 1.0)x10(-3). The first error is the statistical and the second is the systematic uncertainty. Combining these measurements with the previous BABAR measurement of the form factors, which employs a different fit technique on a partial sample of the data, we improve the statistical precision of the result, rho(2)=1.191 +/- 0.048 +/- 0.028, R(1)(1)=1.429 +/- 0.061 +/- 0.044, R(2)(1)=0.827 +/- 0.038 +/- 0.022, and F(1)vertical bar V(cb vertical bar)=(34.4 +/- 0.3 +/- 1.1)x10(-3). Using lattice calculations for the axial form factor F(1), we extract vertical bar V(cb)vertical bar=(37.4 +/- 0.3 +/- 1.2 +/-(1.2)(1.4))x10(-3), where the third error is due to the uncertainty in F(1). We also present a measurement of the exclusive branching fraction, B=(4.69 +/- 0.04 +/- 0.34)%.