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

TL;DR

This paper investigates how the fourth generation Standard Model (SM4) affects lepton polarization asymmetries in B to K* lepton pair decays, showing these asymmetries are sensitive to SM4 parameters and could reveal new physics.

Contribution

It provides a detailed analysis of lepton polarization asymmetries within SM4, highlighting their potential to test the existence of a fourth quark generation.

Findings

Lepton polarization asymmetries are sensitive to SM4 parameters.

Measurements at current colliders can help confirm or refute the fourth generation.

Asymmetries vary significantly with SM4 parameter changes.

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 $B\rightarrow K^{\ast}\ell^{+}\ell^{-}$, $(l=\mu,\tau)$ 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 $\phi_{sb}$ 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 $6\times10^{-3}$. 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.