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CP asymmetry Relations Between $\bar B^0\rightarrow \pi\pi$ and $\bar B^0\rightarrow \pi K$ Rates

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arxiv hep-ph/9412393 v1 pith:SHAOSZQ5 submitted 1994-12-30 hep-ph

N.G. Deshpande , Xiao-Gang He (University of Oregon) This is my paper · ORCID
classification hep-ph
keywords rightarrowdeltagammaannihilationapproxapproximationasymmetrybreaking
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We prove that CP violating rate difference $\Delta (\bar B^0 \rightarrow \pi^+\pi^-) = \Gamma (\bar B^0 \rightarrow \pi^+\pi^-) - \Gamma ( B^0 \rightarrow \pi^-\pi^+)$ is related to $\Delta (\bar B^0 \rightarrow \pi^+ K^-) = \Gamma (\bar B^0 \rightarrow \pi^+K^-) - \Gamma (B^0 \rightarrow \pi^-K^+)$ in the three generation Standard Model. Neglecting small annihilation diagrams, and in the SU(3) symmetry limit, we show $\Delta (\bar B^0 \rightarrow \pi^+\pi^-) = - \Delta (\bar B^0 \rightarrow \pi^+ K^-)$. The SU(3) breaking effects are estimated using factorization approximation, and yield $\Delta (\bar B^0\rightarrow \pi^+\pi^-) \approx -(f_\pi/f_K)^2\Delta (\bar B^0 \rightarrow \pi^+K^-)$. Usefulness of this remarkable relation for determining phases in the CKM unitarity triangle is discussed.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Flavor SU(3) analysis of the charmless semileptonic $B \to PV\ell^+\nu_\ell$ decays

    hep-ph 2025-07 conditional novelty 6.0 of 10

    The paper predicts branching ratios of charmless B to PV l nu decays mediated by axial-vector, tensor, and excited vector resonances using SU(3) flavor symmetry, finding several modes at 10^-4 to 10^-3.

  2. Studying the tensor resonance contributions in $B \to PP\ell^+\ell^-$ and $B \to PV\ell^+\ell^-$ decays

    hep-ph 2026-07 conditional novelty 4.0 of 10

    Tensor-resonance contributions to B → PPℓ⁺ℓ⁻ and B → PVℓ⁺ℓ⁻ are small compared with measured totals once SU(3)-related B → Tℓ⁺ℓ⁻ rates are fixed to Bs → f′₂(1525)μ⁺μ⁻.

  3. Hadrons in group expansion

    hep-ph 2025-06 conditional novelty 4.0 of 10

    Ground-state baryon masses are parametrized by mixing SU(4) flavor representations, with estimated Sigma_c being 72% 20M and 28% 20S, and Xi_c being 90% anti-triplet and 10% sextet.

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