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

Abstract

In a variety 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(${\tilde{t}}_1\to c{\tilde{\chi }}_1^0$) $\times$ BR(${\tilde{t}}_1\to l_i^{+}b$), 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 ${\tilde{\chi }}_1^0$ decay) at Tevatron Run II. For the kinematical cuts designed in this paper P depends on $m_{{\tilde{t}}_1}$ 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(${\tilde{t}}_1\to l_i^{+}b$) is an order of magnitude smaller than BR(${\tilde{t}}_1\to c{\tilde{\chi }}_1^0$). The invariant mass distribution of the hardest lepton and the hardest jet may determine $m_{{\tilde{t}}_1}$ and reveal the lepton number violating nature of the underlying interaction. The invariant mass distribution of the two lowest energy jets may determine $m_{{\tilde{\chi }}_1^0}$.

Some minor changes in language are made at pages 1,2,8 and 18 respectively

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