1. 1 Scaling methods Main idea of scaling methods is: Overall method: C(E) is obtained in 5 different ways: From horn-off data, E cut < E < E high From horn-off data, E low < E < E cut From horn-off data, all energies From horn-on data, E > E high From horn-on data, all energies (since for )

2. 2 Scaling method 1: L010000 data/MC ratio, E cut < E < E high data/MC L010000 data Scaled MC, no  + data-Scaled MC from  +, MC

3. 3 Scaling method 2: L010000 data/MC ratio, 4 < E < E cut data/MC L010000 data-Scaled MC from  +, MC data Scaled MC, no  +

4. 4 Scaling method 3: L010000 data/MC ratio, all E data/MC L010000 data-Scaled MC from  +, MC data Scaled MC, no  + Pol 4 th deg

5. 5 Scaling method 4: L010185 data/MC ratio, E > E cut data/MC L010185 data-Scaled MC from  +, MC Pol 3 rd deg constant data Scaled MC, no  +

6. 6 Scaling method 5: L010185 data/MC ratio, all E’s data/MC L010185 data-Scaled MC from  +, MC data Scaled MC, no  + Pol 4 th deg

7. 7 Fit methods Used same procedure as Zarko & Rustem showed in Boston, i.e. Mega Fit such that: Parameterize fluka  - yields. 6 parameters to distort pt-xf  - distributions. 2 parameters for kaons. No Zbeam parameters, except for POT Difference lies in that only regions with no  + contributions are fit. Three separate fits were performed: le010z000i (all E) & le010z185i (with E>E cut ) le010z185i (with E>E cut ) le010z000i (all E)

8. 8 le010z185i le010z000i Fit 1: le010z185i (E>E cut ) & le010z000i (all E)

9. 9 Fit 2: le010z185i (E>E cut ) le010z185i

10. 10 Fit 3: le010z000i (all E) le010z000i

11. 11 Predicting from the three fits:

12. 12 Fit 1: le010z185i (E>E cut ) & le010z000i (all E) MC (no  +) Fit MC (no  +) data-Fit MC from  +, MC data Fit MC, no  +

13. 13 Fit 2: le010z185i (E>E cut ) MC (no  +) Fit MC (no  +) data-Fit MC from  +, MC data Fit MC, no  +

14. 14 Fit 3: le010z000i (all E) MC (no  +) Fit MC (no  +) data-Fit MC from  +, MC data Fit MC, no  +

15. 15 Summary of Results data-Fit/Scaled MC, E < E cut (candidates for  + decay) data-Fit/Scaled MC, E > E cut MC375.879.5 Scale method 11015.6-211.8 Scale method 21001.8-213.9 Scale method 3806.2-234.6 Scale method 41640.7-43.2 Scale method 5540.3-53.45 Fit method 1546.41.9 Fit method 2-283.2-138.9 Fit method 31395.4-265.4 Expected to be negative Should be ~0 if data/MC from horn-off is trust worthy in this region Should be 0 by construction Should be real nubars from  + all methods all methods (except fit method 2) from  + decay candidates