Implication of the Fourth Generation Standard Model to the Lepton Polarization asymmetries in the $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ Decay

Abstract

In this work we study the implication of the fourth generation standard model (SM4) to the single and double lepton polarization asymmetries in the $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$, $(l=\mu ,\tau )$ decay. To see the variation in the values of lepton polarization asymmetries from the standard model values, we have taken lower bound values of CMS and ATLAS for $m_{t^{\prime }}=404$GeV and 552GeV respectively whereas ${\varphi }_{sb}$ is vary in two allowed regions $75^{\circ }-115^{\circ }$ and $240^{\circ }-290^{\circ }$ while for the numerical values of these asymmetries $|{\lambda }_{t^{\prime }}|$ is set to be $6\times 10^{-3}$. It is found that both single and double lepton polarization asymmetries are sensitive to the SM4 parameters. Therefore, the measurements of the lepton polarization asymmetries for the above mentioned decay at current colliders can be helpful to clear the smog on the status of the existence of the fourth generation.

Comments: This paper has been withdrawn by the author because the new physics model which is studied in this manuscript i.e. the standard model with sequential 4th generation is contradict with the current LHC result and seems to be ruled out