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

Abstract

We studied the process $e^{+}{e}^{-}\to t\bar{c}+c\bar{t}$ in a R_{p} violating supersymmetric model with effects from both B- and L-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 $\text{/}{R}_p$ couplings. A comparision with results from $\gamma \gamma \to t\bar{c}+c\bar{t}$ may allow to distinguish between B- and L-violating interactions. For very clean background conditions and R_{p} violation parameters close to present limits, a future detection of B-violating interactions should be possible. The process of ${\mu }^{+}{\mu }^{-}\to t\bar{c}+c\bar{t}$ is also considered.

16 pages, 4 figures