Description
R_{D^{()}}is the ratio of \overline{B}->D^{()}\tau\overline{\nu}{\tau} to \overline{B}-> D^{()}l\overline{\nu}{l}. There is a gap of 2\sigma{exp} or more between its experimental value and the SM prediction. People extend the MSSM with the local gauge group U(1)_X to obtain the U(1)_XSSM. Compared with MSSM, U(1)_XSSM has more superfields and effects. In U(1)_XSSM, we research the decays \overline{B} -> D^{()}l\overline{\nu}{l} and calculate R_{D^{()}}. The obtained numerical results of R_{D^{()}} are further corrected under U(1)X$SSM, which is much better than the SM predictions. After correction, the theoretical value of R{D^{(*)}} can reach in one \sigma_{exp} range of the averaged experiment central value.