# Flavor and CP Violation with Fourth Generations Revisited - High Energy Physics - Phenomenology

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Abstract: The Standard Model predicts a very small CP violation phase $\sin2\Phi^{ mSM} {B s} \simeq -0.04$%= \arg M {12} \simeq \arg\,V^* {ts}V {tb}^2$ in$B s$-$\bar B s$ mixing. %, i.e. of order $\lambda^2\eta$. Any finite value of$\Phi {B s}$ measured at the Tevatron would imply New Physics. With recenthints for finite $\sin2\Phi {B s}$, % have appeared from CDF and D\O\,experiments at the Tevatron, we reconsider the possibility of a 4th generation.As recent direct search bounds have become considerably heavier than 300 GeV,we take the $t-$ mass to be near the unitarity bound of 500 GeV. Combining themeasured values of $\Delta m {B s}$ with ${\cal B}B \to X s\ell^+\ell^-$,together with typical $f {B s}$ values, we find a sizable $\sin2\Phi^{ mSM4} {B s} \sim -0.33$. Using %a typical value of $m {b-} = 480$ GeV, weextract the range % a range of values, $0.06 < |V {t-b}| < 0.13$ from theconstraints of $\GammaZ\to b\bar b$, $\Delta m {D}$ and ${\calB}K^+\to\pi^+ u\bar u$. A future measurement of ${\calB}K L\to\pi^0 u\bar u$ will determine $V {t-d}$.

Author: ** W.S. Hou, C.Y. Ma**

Source: https://arxiv.org/