3. le010z185i le100z200i from  -,K - : from  + from  -,K - : from  + qe res dis coh qe res dis coh qe res dis coh qe res dis coh Different components to antineutrino spectrum

4. le010z185i All  qe res dis coh qe res dis coh From le010z185i MC to determine fraction of antineutrino spectrum corresponding to each component component/all Use these ratios to determine the components for the le100z200i configuration as well.

5. from  -,K - from  + pME LE MC MC with syst MC MC with syst MC MC with syst MC MC with syst Example: qel and res components increased by 30%, pME-POT=1e19

6. Fluctuate the pME histograms to create fake data set (which now includes these systematics) and fit in usual way:

7. But original  + spectra got modified by systematics, so parLE and parME are not the right parameters to look at to find out systematic error. Consider sucLE and sucME parameters, defined by: Evidently, when no systematics are added then parLE=sucLE and parME=sucME sucLE = #antineutrinos from  + predicted by fit, LE #antineutrinos from  + in fake data, LE sucME = #antineutrinos from  + predicted by fit, pME #antineutrinos from  + in fake data, pME For qel and res both increased by 30%, with 1e19 POT of pME-POT ~6.5% systematic error in our antineutrinos from  + in LE measurement

8. qel and res components increased by 30%, different pME-POT 2.5e19 POT 5e19 POT 7.5e19 POT 1e20 POT

9. qel and res components decreased by 30%, pME-POT = 1e19 from  -,K - from  + pME LE MC MC with syst

10. qel and res components decreased by 30%, different pME-POT 2.5e19 POT 5e19 POT 7.5e19 POT 1e20 POT