Transverse Spin Polarization of $\tau^-$ in ${\bar{B}}^0\rightarrow D^{+} \tau^- {\bar{\nu}}$ and Charged Higgs Boson

Abstract

The spin of the $\tau$ lepton in the semiletonic process ${\bar{B}}^0\rightarrow D^{+} \tau^- {\bar{\nu}}$ can be polarized in the direction which is normal to the reaction plane, if the charged Higgs boson exists and its coupling to quarks has a complex phase. We calculate this transverse polarization of the $\tau$ lepton by using the experimentally measured $B$ to $D$ transition form factors.