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

In a variety of 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 equivalent to BR(t(1)-> c chi(0)(1))xBR(t(1)-> l(i)(+)b), where l(i)=e(+) and mu(+), corresponding to an observable signal involving the final state 1l+jets+E-T (carried by the neutrinos from the chi(0)(1) decay) at Tevatron Run II. For the kinematical cuts designed in this paper P depends on m(t1) only. We then compute P for representative choices of the model 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(t(1)-> l(i)(+)b) is an order of magnitude smaller than BR(t(1)-> c chi(0)(1)). The invariant mass distribution of the hardest lepton and the hardest jet may determine m(t1) and reveal the lepton number violating nature of the underlying interaction. The invariant mass distribution of the two lowest energy jets may determine m(chi 1)(0).