The $B\to X_s{l}^{+}{l}^{-}$ and $B\to X_s\gamma$ decays with the fourth generation

Abstract

If the fourth generation fermions exist, the new quarks could influence the branching ratios of the decays of $B\to X_s\gamma$ and $B\to X_s{l}^{+}{l}^{-}$. We obtain two solutions of the fourth generation CKM factor $V_{t^{{}^{\prime }}s}^{\ast }{V}_{t^{{}^{\prime }}b}$ from the decay of $B\to X_s\gamma$. We use these two solutions to calculate the new contributions of the fourth generation quark to Wilson coefficients of the decay of $B\to X_s{l}^{+}{l}^{-}$. The branching ratio and the forward-backward asymmetry of the decay of $B\to X_s{l}^{+}{l}^{-}$ in the two cases are calculated. Our results are quite different from that of SM in one case, almost same in another case. If Nature chooses the formmer, the $B$ meson decays could provide a possible test of the forth generation existence.

10 pages, 5 figures

Cited by in corpus (21)

• Phenomenology of non-standard Z couplings in exclusive semileptonic b -> s transitions
• The Effects of Fourth Generation on the Total Branching Ratio and the Lepton Polarization in $Λ_b \rar Λ\ell^+ \ell^-$ decay
• Fourth generation effects in rare exclusive B -> K^* l^+ l^- decay
• Double Lepton Polarization in ${\Lambda }_b-->\Lambda l^{+}{l}^{-}$ Decay in the Standard Model with Fourth Generations Scenario
• CP asymmetry in the decays B --> (X_s, X_d) mu+ mu- with four generations
• Constraints on the Mass and Mixing of the 4th Generation Quark From Direct CP Violation${\epsilon }^{\prime }/\epsilon$ and Rare K Decays
• Fourth generation effects in the $B_s\to \nu \bar{\nu }\gamma$ decay
• K_1(1270)-K_1(1400) mixing and the fourth generation SM effects in B-->K_1l^+l^- decays
• CP asymmetry in $B\to \varphi K_S$ in a general two-Higgs-doublet model with fourth-generation quarks
• A Simple Approach to Fourth Generation Effects in $B\to X_s{\ell }^{+}{\ell }^{-}$ Decay
• The Effects of Fourth Generation on the double Lepton Polarization in B \rar K \ell^+ \ell^- decay
• Double Lepton Polarization Forward--Backward Asymmetries in B \rar K^\ast \ell^+ \ell^- Decay in the SM4
• Fourth-generation SM imprints in B -> K^*l^+l^- decays with polarized K^*
• Polarized forward-backward asymmetries of lepton pair in $B\to K_1{\ell }^{+}{\ell }^{-}$ decay in the presence of New physics
• Exclusive $B \rar ρ\ell^+ \ell^-$ Decay in the Standard Model with Fourth--Generation
• Double-Lepton Polarization Asymmetries in $B_s \rar ϕ\ell^+ \ell^-$ Decay in the Fourth-Generation Standard Model
• Analysis of the B --> π\ell^+ \ell^- Decay in the Standard Model with Fourth Generation
• Fourth generation effects on the rare $B\to K^{\ast }\nu \bar{\nu }$ decay
• Analysis of Various Polarization Asymmetries In The Inclusive $b\to s{\ell }^{+}{\ell }^{-}$ Decay In The Fourth-Generation Standard Model
• The Effects of Non-Local Interactions in Rare B Decays, B -> X_s l^+l^-
• It is the ambiguity. (But only three generations)