Abstract
We present a measurement of the correlated $b\bar{b}$ production cross section. The data used in this analysis were taken with the upgraded CDF detector (CDF II) at the Fermilab Tevatron collider, and correspond to an integrated luminosity of 742 pb$^{-1}$. We utilize muon pairs with invariant mass $5 \leq m_{\mu\mu} \leq 80 \gevcc$ produced by $b\bar{b}$ double semileptonic decays. For muons with $p_T \geq 3 \gevc$ and $|\eta| \leq 0.7$, that are produced by $b$ and $\bar{b}$ quarks with $p_T \geq 2 \gevc$ and $|y| \leq 1.3$, we measure $\sigma_{b\to\mu,\bar{b}\to \mu}= 1549 \pm 133$ pb. We compare this result with theoretical predictions and previous measurements. We also report the measurement of $\sigma_{c\to\mu,\bar{c}\to \mu}$, a by-product of the study of the background to $b\bar{b}$ production.

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