Hadronic decays of $\bm{χ_{bJ}}$ into light bottom squarks

We calculate the rates for inclusive hadronic decay of the three $χ_{bJ}$ states into a pair of light bottom squarks as a function of the masses of the bottom squark and the gluino. We include color-singlet and color-octet configurations. The color-octet contribution is found to be insignificant for the $χ_{b0}$ but can dominate in the $χ_{b2}$ case if current lattice estimates are used for the color-octet matrix element. In comparison with the standard model values, bottom squark decays can increase the predicted hadronic width of the $χ_{b0}$ by as much as 35%, for very small bottom squark masses and gluino masses in the range of 12 GeV, but make a small contribution in the cases of $χ_{b1}$ and $χ_{b2}$. Data from decays of the $χ_{bJ}$ states could provide significant new bounds on the existence and masses of supersymmetric particles.

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