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Isospin in B Decays and the (B⁰ bar B⁰)/(B^+ B^-) Production Ratio
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Isospin in B Decays and the (B⁰ bar B⁰)/(B^+ B^-) Production Ratio
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Methods are proposed for measuring the ratio $R^{+/0} = \Gamma(\Upsilon(4S) \to B^+ B^-)/$ $\Gamma(\Upsilon(4S) \to \bo \ob)$ without assuming isospin invariance in exclusive hadronic decays such as $B \to J/\psi K$. The validity of isospin invariance in various B decays is discussed. Isospin violations are expected to be especially small in inclusive semileptonic decays, so that $\Gamma(B^+ \to X_c^0 \ell^+ \nu_\ell) = \Gamma(B^0 \to X_c^- \ell^+ \nu_\ell)$ is expected to hold at the sub-percent level. Suggestions are made for utilizing this relation. The accuracy of a ``double-tag'' method for obtaining $R^{+/0}$, such as that used for measuring the $D^+ D^-/D^0 \od$ ratio at the $\psi'' \equiv \psi(3770)$, is also estimated.
Forward citations
Cited by 2 Pith papers
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$\bar B\to D^{(*)}\ell\bar \nu$ Branching Ratios and Evidence for Isospin Breaking in $\Upsilon(4S)$ Decays
A combined fit to B to D(*) l nu data yields R^{±0}=1.062(19) as evidence for isospin violation in Υ(4S) decays and branching fractions up to 1.6σ larger than prior averages, addressing inconsistencies in V_cb extractions.
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