Decay Modes ▸ Expand all decays | ||||||||||
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The branching fraction measurements are for an admixture of ${{\mathit B}}$ mesons at the ${{\mathit \Upsilon}{(4S)}}$. The values quoted assume that B( ${{\mathit \Upsilon}{(4S)}}$ $\rightarrow$ ${{\mathit B}}{{\overline{\mathit B}}}$ ) = 100$\%$. For inclusive branching fractions, $\mathit e.g.,$ ${{\mathit B}}$ $\rightarrow$ ${{\mathit D}^{\pm}}$ $~\mathit anything$, the treatment of multiple ${{\mathit D}}$'s in the final state must be defined. One possibility would be to count the number of events with one-or-more ${{\mathit D}}$'s and divide by the total number of ${{\mathit B}}$'s. Another possibility would be to count the total number of ${{\mathit D}}$'s and divide by the total number of ${{\mathit B}}$'s, which is the definition of average multiplicity. The two definitions are identical if only one ${{\mathit D}}$ is allowed in the final state. Even though the ``one-or-more'' definition seems sensible, for practical reasons inclusive branching fractions are almost always measured using the multiplicity definition. For heavy final state particles, authors call their results inclusive branching fractions while for light particles some authors call their results multiplicities. In the ${{\mathit B}}$ sections, we list all results as inclusive branching fractions, adopting a multiplicity definition. This means that inclusive branching fractions can exceed 100$\%$ and that inclusive partial widths can exceed total widths, just as inclusive cross sections can exceed total cross section. ${{\overline{\mathit B}}}$ modes are charge conjugates of the modes below. Reactions indicate the weak decay vertex and do not include mixing. |
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