Semileptonic B to Scalar meson Decays in the Standard Model with Fourth Generation

TL;DR

This paper investigates how a hypothetical fourth generation of quarks could influence B meson decay processes, revealing potential new physics signals detectable through precise measurements of branching ratios and lepton polarizations.

Contribution

It provides a detailed analysis of the impact of fourth generation quarks on B meson decay observables within the Standard Model framework.

Findings

Branching ratio is highly sensitive to fourth generation parameters.

Lepton polarizations vary significantly with fourth generation quark mass and mixing angles.

Future experiments could indirectly detect fourth generation quarks through these decay measurements.

Abstract

We study the effects of the fourth generation of quarks on the total branching ratio and the lepton polarizations in $\bar{B}_{0}\rightarrow K_{0}^{\ast}(1430)l^{+}l^{-}$($l$ = $\mu $, $\tau $) decay. Taking fourth generation quark mass $m_{t{\prime}}$ of about $400$ to $600$ GeV with the mixing angle $|V_{t^{\prime}b}^{\ast}V_{t^{\prime}s}|$ in the range $(0.05-1.4)\times 10^{-2}$ and using the phase to be $80^{o}$%, it is found that the branching ratio and lepton polarizations are quite sensitive to these fourth generation parameters. In future the experimental study of this decay will give us an opportunity to study new physics effects, precisely, to search for the fourth generation of quarks $% (t^{\prime},b^{\prime})$ in an indirect way.