B→η(′)(l−ν¯l,l+l−,K,K*)decays in the quark-flavor mixing scheme

A. G. Akeroyd, Chuan-Hung Chen, Chao-Qiang Geng
2007 Physical Review D  
In the quark-flavor mixing scheme, η and η' are linear combinations of flavor states η_q=(uu̅+dd̅)/√(2) and η_s=ss̅ with the masses of m_qq and m_ss, respectively. Phenomenologically, m_ss is strictly fixed to be around 0.69, which is close to √(2m^2_K-m^2_π) by the approximate flavor symmetry, while m_qq is found to be 0.18± 0.08 GeV. For a large allowed value of m_qq, we show that the BRs for B→η^(') X decays with X=(ℓ^-ν̅_ℓ, ℓ^+ℓ^-) are enhanced. We also illustrate that BR(B→η X)> BR(B→η^'
more » ... in the mechanism without the flavor-singlet contribution. Moreover, we demonstrate that the decay branching ratios (BRs) for B→η^(')K^[*] are consistent with the data. In particular, the puzzle of the large BR(B→η^' K) can be solved. In addition, we find that the CP asymmetry for B^±→η K^± can be as large as -30 However, we cannot accommodate the CP asymmetries of B→η K^* in our analysis, which could indicate the existence of some new CP violating sources.
doi:10.1103/physrevd.75.054003 fatcat:fvgj3cvuhzeotcw4k6fqz2siea