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Can we be fooled at 1e20?

Can we be fooled at 1e20?. Jenny Thomas UCL. Preview. Explanation of Quick Fit Method Potential pitfalls Statistics P.O.T Calibration FD MC/Data Conclusion. Explanation of Method. Basic ‘know nothing’ approach Use ND data in combination with MC to get predicted, unoscillated spectrum

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Can we be fooled at 1e20?

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  1. Can we be fooled at 1e20? Jenny Thomas UCL

  2. Preview • Explanation of Quick Fit Method • Potential pitfalls • Statistics • P.O.T • Calibration • FD MC/Data • Conclusion

  3. Explanation of Method • Basic ‘know nothing’ approach • Use ND data in combination with MC to get predicted, unoscillated spectrum • Encompass ND data/MC discrepancy as error bars in predicted spectrum • Add in beam uncertainty estimate for uncertainty in acceptance • Use simple c2 minimization with MINUIT to see effect on parameter measurement • Point is an independent cross-check of parameter measurement and useful tool for systematic studies

  4. Explanation of Method • This is an overestimate of errors if: • Due to detector modelling • Light in scintillator • GEANT • Beam related (different from other) • This is reasonable if • ND/FD different • Slicing • Calibration • P.O.T • This could be an underestimate if • FD MC/Data totally different

  5. Explanation of Method • Assumes all nm oscillated to nt • Etrue is oscillated and returned to Ereco • NC and CC events in sample but cuts applied to reduce NC • Pseudo runs study effect of statistics: • Nearest integer of • #nt+ran(sqrt(#nt) + #nm+ran(sqrt(#nm)) • For each bin in Ereco is calculated

  6. Example of results

  7. Potential Pitfalls at 1e20 • Using 100 pseudo-experiments • MINUIT calculates errors on parameters • Can check these are reasonable

  8. Potential Pitfalls at 1e20 0.0022eV2 0.005eV2

  9. Protons on Target • Errors in #P.O.T can give false information: fitting within limits as an extra parameter solves this • Plots to right have a 10% P.O.T miscalibration

  10. Calibration +5% • Difference between ND and FD calibration can be studied • Effects worse at low Dm2 • Again, extra parameter can alleviate this problem

  11. Conclusion • Effects of calibration and normalization should not hurt us at 1e20 • FD Data/MC differences are the only comparison which isn’t taken into account in this method • At what value of Dm2 do we decide to raise the beam energy?

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