Correlating $B_q^0\to {\mu }^{+}{\mu }^{-}$ and $K_L\to {\pi }^0\nu \bar{\nu }$ Decays with Four Generations

Abstract

The long-awaited $B_s\to {\mu }^{+}{\mu }^{-}$ mode has finally been observed at rate consistent with Standard Model, albeit lower by 1.2$\sigma$. There is some hint for New Physics in the rarer $B_d^0\to {\mu }^{+}{\mu }^{-}$ decay, especially if the currently 2.2$\sigma$-enhanced central value persists with more data. The measurement of $CP$ violating phase ${\varphi }_s$, via both $B_s\to J/\psi K\bar{K}$ and $J/\psi \pi \pi$ modes, has reached Standard Model sensitivity. These measurements stand major improvement when LHC enters Run 2. Concurrently, the $K_L\to {\pi }^0\nu \bar{\nu }$ and $K^{+}\to {\pi }^{+}\nu \bar{\nu }$ modes are being pursued in a similar time frame. We illustrate the possible correlations between New Physics effects in these four modes, using the fourth generation as example. While correlations may or may not exist in other New Physics models, the four generation model can accommodate enhancements in both $B_d^0\to {\mu }^{+}{\mu }^{-}$ and $K_L\to {\pi }^0\nu \bar{\nu }$.

9 pages, 5 figures for V1; for V2 title modified, minor changes performed to figures, part of contents revised to 7 pages, note added, one of the authors' affiliation changed, accepted for the publication of PLB

References in corpus (14)

• Big-Bang Nucleosynthesis
• Test of lepton universality using $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Observation of the rare $B_s^0\to {\mu }^{+}{\mu }^{-}$ decay from the combined analysis of CMS and LHCb data
• Measurement of the Differential Branching Fraction and Forward-Backword Asymmetry for B->K(*)l+l-
• Study of the decay K+ => pi+,nu,nubar in the momentum region 140<Ppi<199 MeV/c
• Probing New Physics via the $B_s^0\to {\mu }^{+}{\mu }^{-}$ Effective Lifetime
• Branching Ratio Measurements of $B_s$ Decays
• Measurement of $\boldmath {B_s^0}$ mixing parameters from the flavor-tagged decay
• Improved estimates of rare K decay matrix-elements from Kl3 decays
• Epsilon_K at Next-to-Next-to-Leading Order: The Charm-Top-Quark Contribution
• Precision measurement of $CP$ violation in $B_s^0\to J/\psi K^{+}{K}^{-}$ decays
• Infrared Renormalization Group Flow for Heavy Quark Masses
• Measurement of the CP-violating phase ${\varphi }_s$ in ${\overline{B}}_s^0\to J/\psi {\pi }^{+}{\pi }^{-}$ decays
• Large Time-dependent CP Violation in B_s^0 System and Finite D^0-D^0bar Mass Difference in Four Generation Standard Mode

Cited by in corpus (3)

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• Probing Sterile Neutrino via Lepton Flavor Violating Decays of Mesons