Very light sbottom and gluino scenario confronting electroweak precision tests

Abstract

The minimal supersymmetric model with light sbottom ($\sim m_b$) and light gluino (12 $\sim$ 16 GeV) can explain the excess of bottom quark production cross section at hadron colliders and has drawn much attention. We calculate one-loop contribution to Z-pole observable $R_b$ in this scenario when large CP violating phases are allowed in the gluino mass and/or sbottom sector. We show that these large CP violating phases can suppress the new contribution $\delta R_b$ safely within the experimental bounds even for heavier sbottom too heavy ($\wt{b}_2 \gtrsim$ 200 GeV) to be produced at LEP2 in association with light sbottom $\wt{b}_1$.