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

Abstract

We calculate the rates for inclusive hadronic decay of the three $\chi_{bJ}$ 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 $\chi_{b0}$ but can dominate in the $\chi_{b2}$ 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 $\chi_{b0}$ 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 $\chi_{b1}$ and $\chi_{b2}$. Data from decays of the $\chi_{bJ}$ states could provide significant new bounds on the existence and masses of supersymmetric particles.