  We derive the four-fold angular distribution for the semileptonic decay
$\bar{B}\to D_2^*(\to D \pi)\,\ell \bar{\nu}$ where $D_2^*$(2460) is a tensor
meson. We start with the most general beyond the Standard Model (SM)
dimension-six effective Hamiltonian which comprises (axial)vector,
(pseudo)scalar and tensor operators for both quark and lepton currents, and it
also includes the right-handed neutrinos. The decay can be described by 16
transversity amplitudes and it provides a multitude of observables which can be
extracted from data. We investigate the observables in the context of the SM
and the new physics scenarios which can explain the intriguing discrepancies
observed in the $b \to c \tau \bar{\nu}$ data.
