Probe R-Parity Violating Supersymmetry in Forward--Backward Asymmetry

We investigate the possibility of probing R-parity violating interactions in forward-backward asymmetries, and conclude that the Tevatron collider is the best place to measure new interactions involving the first generation of quarks. With additional down type squark ^~d_k contributions, the charge asymmetry in e⁺e^— events around Z-pole mass region at the Tevatron will be sensitive to R-parity violating couplings λ’_11k, which was inaccessible to the LEP Q_fb ^had inclusive measurement. Assuming no apparent deviation from SM prediction is observed, λ’_11k< 0.19 at 95% C.L. with squark mass M^~d_k=100 GeV can be derived.