New signals of a R-parity violating model of neutrino mass at the Tevatron

In some models of neutrino masses and mixings the lighter top squark decays into competing R - parity violating and R - parity conserving channels. Using Pythia we have estimated in a model independent way the minimum value of P $\equiv$ BR($\lstop \ra c \lspone$) $\times$ BR($\lstop \ra l^+_i b$), where $l_i = e^+$ and $\mu^+$, corresponding to an observable signal involving the final state 1$l$ + jets +$\met$ (carried by the neutrinos from the $\lspone$ decay) at Tevatron Run II. For the kinematical cuts designed in this paper P depends on $\mlstop$ only. We then compute P for representative choices of the parameters constrained by the oscillation data and find that over a significant region of the allowed parameter space P is indeed larger than $P_{min}$. This signal is complementary to the dilepton + dijet signal studied in several earlier experimental and phenomenological analyses and may be observed even if BR($\lstop \ra l^+_i b$) is an order of magnitude smaller than BR($\lstop \ra c \lspone$). The invariant mass distribution of the hardest lepton and the hardest jet may determine $\mlstop$ and reveal the lepton number violating nature of the underlying interaction. The invariant mass distribution of the two lowest energy jets may determine $\mlspone$