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Extrapolating SU(3) breaking effects from D to B decays

Michael Gronau·Dan Pirjol
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Abstract

We consider two SU(3) breaking parameters, $R_1(m_B)$ and $R_2(m_B)$, appearing in a relation between $B^+\to Kπ$ and $B^+\toππ$ amplitudes, which plays an important role in determining the weak phase $γ$. We identify an isospin-related quantity $R_2(m_D)$ measured in $D$ decays, exhibiting large SU(3) breaking which is likely due to nonfactorizable effects. With a cautious remark about possible nonfactorizable SU(3) breaking in $B$ decays, we proceed to calculate factorizable SU(3) breaking corrections. Applying heavy quark symmetry to semileptonic $D$ and B decay form factors, we find that SU(3) breaking in $R_2(m_B)/R_1(m_B)$ may be significantly larger than estimated from certain model calculations of form factors.

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Michael Gronau, Dan Pirjol. 2000-04-03. Extrapolating SU(3) breaking effects from D to B decays. https://doi.org/10.1103/physrevd.62.077301

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