Probing R-parity violation in the production of $t \bar c$ $(c \bar{t})$ at lepton colliders

Abstract.

We studied the process $e^{+}e^{-} \rightarrow t\bar c+c\bar{t}$ in a $R_{p}$-violating supersymmetric model with effects from both B- andL-violating interactions. The calculation shows that it is possible to either detect the $R_{p}$-violating signal at the Next Linear Collider or get more stringent constraints on the heavy-flavor $\rlap/R_{p}$ couplings. A comparison with results from $\gamma\gamma \rightarrow t\bar c+ c\bar{t}$ may allow one to distinguish between B- and L-violating interactions. For very clean background conditions and $R_{p}$-violating parameters close to the present limits, the future detection of B-violating interactions should be possible. The process of $\mu ^{+} \mu ^{-} \rightarrow t \bar c+c\bar{t}$ is also considered.