Isospin in $B$ Decays and the $(B^0 \bar B^0)/(B^+ B^-)$ Production Ratio

Details Isospin in $B$ Decays and the $(B^0 \bar B^0)/(B^+ B^-)$ Production Ratio Isospin in $B$ Decays and the $(B^0 \bar B^0)/(B^+ B^-)$ Production Ratio

2006-01-17

arxiv.org/abs/hep-ph/0601136v2

Phys.Rev.D73:057501,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, no figures, to be published in Phys. Rev. D (Brief Reports). One reference and acknowledgment added; slight text chan

Scientific paper

10.1103/PhysRevD.73.057501

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.

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