Hadronic decays of ${\mathbf{\chi }}_{\mathbf{bJ}}$ 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.

Comments: 19 pages, REVTeX 4, 3 figures. A few equations corrected; figures modified slightly; some additional explanatory material; references updated; typographical errors remedied. Accepted for publication in Phys Rev D