Measuring |V_{td} / V_{ub}| through B -> M ν\barν(M=π,K,ρ,K^*) decays

Abstract

We propose a new method for precise determination of |V_{td} / V_{ub}| from the ratios of branching ratios BR(B -> ρν\bar ν) / BR(B ->ρl ν) and BR(B -> πν\bar ν) / BR(B -> πl ν). These ratios depend only on the ratio of the Cabibbo-Kobayashi-Maskawa (CKM) elements |V_{td} / V_{ub}|$ with little theoretical uncertainty, when very small isospin breaking effects are neglected. As is well known, |V_{td} / V_{ub}| equals to (\sin γ) / (\sin β) for the CKM version of CP-violation within the Standard Model. We also give in detail analytical and numerical results on the differential decay width dΓ(B -> K^* ν\bar ν) / dq^2 and the ratio of the differential rates dBR(B -> ρν\bar ν)/dq^2 / dBR(B -> K^* ν\bar ν)/dq^2 as well as BR(B -> ρν\bar ν) / BR(B -> K^* ν\bar ν) and BR(B -> πν\bar ν) / BR(B -> K ν\bar ν).

LaTeX with 2 figures, 12 pages

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• B \to K(K^*) missing energy in Unparticle physics
• A Systematic Analysis of the Exclusive B -> K^* l^+ l^- Decay
• Interplay of dineutrino modes with semileptonic rare $\mathbf{B}$-decays
• A search for the decay $B^{+}\to K^{+}\nu \bar{\nu }$
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• Exclusive B-> M ν\barν (M= π, K, ρ, K^*) Decays and Leptophobic Z^\prime Model
• Invisible Higgs decay with B\to Kν\barν constraint
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