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arXiv 1004.2186hep-ph
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再论第四代小说的风格与CP破坏

Flavor and CP Violation with Fourth Generations Revisited

W. S. Hou, C. Y. Ma

摘要:

标准模型预测非常小的CP破坏阶段$\sin2Φ^{\rm SM}_{B_s} \simeq -0.04$ %= \arg M_{12} \simeq \arg \,(V^*_{ts} V_{tb})^2 $ in $ B_s $--$ \bar B_s $ mixing. %, i.e. of order $ λ^2η $. Any finite value of $ Φ_{B_s} $ measured at the Tevatron would imply New Physics. With recent hints for finite $ \sin 2Φ_{B_s} $, % have appeared from CDF and DØ\, 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 the measured values of $ Δ m_{B_s} $ with $ { \cal B}(B \to X_s \ell^+ \ell^-)$, together with typical $ f_{B_s} $ values, we find a sizable $ \sin 2Φ^{$ GeV, we extract the range % a range of values, $ SM4}_{B_s} $ GeV, we extract the range % a range of values, $-0.33 $. Using %a typical value of $ m_{b'} = 480 $ GeV, we extract the range % a range of values, $ 0.06 <|V_{t'b}| < 0.13 $ from the constraints of $ Γ(Z \to b \bar b)$, $ Δ m_{D} $ and $ { \cal B}(K^+ \to π^+ν \bar ν)$. A future measurement of $ { \cal B}(K_L \to π ^0 ν \bar ν)$ will determine $ V_{t'd} $.

英文摘要:

The Standard Model predicts a very small CP violation phase $\sin2Φ^{\rm SM}_{B_s} \simeq -0.04$%= \arg M_{12} \simeq \arg\,(V^*_{ts}V_{tb})^2$ in $B_s$--$\bar B_s$ mixing. %, i.e. of order $λ^2η$. Any finite value of $Φ_{B_s}$ measured at the Tevatron would imply New Physics. With recent hints for finite $\sin2Φ_{B_s}$, % have appeared from CDF and DØ\, 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 the measured values of $Δm_{B_s}$ with ${\cal B}(B \to X_s\ell^+\ell^-)$, together with typical $f_{B_s}$ values, we find a sizable $\sin2Φ^{\rm SM4}_{B_s} \sim -0.33$. Using %a typical value of $m_{b'} = 480$ GeV, we extract the range % a range of values, $0.06 < |V_{t'b}| < 0.13$ from the constraints of $Γ(Z\to b\bar b)$, $Δm_{D}$ and ${\cal B}(K^+\toπ^+ν\barν)$. A future measurement of ${\cal B}(K_L\toπ^0ν\barν)$ will determine $V_{t'd}$.

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