Procedure to determine the sensitivity matrix Sample Clauses

Procedure to determine the sensitivity matrix. To determine Mαβ one needs to run 9 Monte Carlo simulations for each mass. Namely, one runs 3 simulations with vectors −U→2 = (x, 0, 0), −U→2 = (0, x, 0), U−→2 = (0, 0, x), where x is any sufficiently small number such that ldecay ldet. Next one runs a set of 6 non-physical simulations, where a particle is produced solely via channel α and decays solely through the channel β /= α, thus providing non-diagonal matrix elements. The resulting matrix has the form Mαβ hMN =1.5 GeVi = 1020  1.33 1.14 0.35 1.46 1.46 0.38 7.46 · 10—4 6.79 · 10—4 1.75 · 10—4  (5.2.8) Knowing this matrix one can compute the sensitivity curve Uα(M ) by solving the equation αβ α β Σ U 2Mαβ(MN )U 2 = Nevents (5.2.9) By choosing different values of Nevents one can obtain 90%, 95%, etc. confidence intervals or simply predict how many events one expects for a given vector of mixing angles −U→2. It should be stressed that only the lower limit of sensitivity can be assessed with such method (which is important for MN & 2 GeV). HNL Mass Mee Meµ Mez Mµe Mµµ Mµz Mze Mzµ Mzz For each mass we provide the results in the form The results are available at xxxxx://xxxx.xxx.xxxx.xx/ship/Sensitivity_Matrix/ README that provides instructions for reading the file and generating sensitivity curves at different confidence levels.
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