Scaling methods Overall method Main idea of scaling

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Scaling methods • Overall method: • Main idea of scaling methods is: • C(E)

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

Scaling method 1: L 010000 data/MC ratio, Ecut < Ehigh data/MC L 010000 data-Scaled

Scaling method 1: L 010000 data/MC ratio, Ecut < Ehigh data/MC L 010000 data-Scaled MC data Scaled MC, no m+ n from m+, MC 2

Scaling method 2: L 010000 data/MC ratio, 4 < Ecut data/MC L 010000 data-Scaled

Scaling method 2: L 010000 data/MC ratio, 4 < Ecut data/MC L 010000 data-Scaled MC data Scaled MC, no m+ n from m+, MC 3

Scaling method 3: L 010000 data/MC ratio, all E Pol 4 th deg data/MC

Scaling method 3: L 010000 data/MC ratio, all E Pol 4 th deg data/MC L 010000 data-Scaled MC data Scaled MC, no m+ n from m+, MC 4

Scaling method 4: L 010185 data/MC ratio, E > Ecut constant Pol 3 rd

Scaling method 4: L 010185 data/MC ratio, E > Ecut constant Pol 3 rd deg data/MC L 010185 data-Scaled MC data Scaled MC, no m+ n from m+, MC 5

Scaling method 5: L 010185 data/MC ratio, all E’s Pol 4 th deg data/MC

Scaling method 5: L 010185 data/MC ratio, all E’s Pol 4 th deg data/MC L 010185 data-Scaled MC data Scaled MC, no m+ n from m+, MC 6

Fit methods • Used same procedure as Zarko & Rustem showed in Boston, i.

Fit methods • Used same procedure as Zarko & Rustem showed in Boston, i. e. Mega Fit such that: • Parameterize fluka p- yields. • 6 parameters to distort pt-xf p- distributions. • 2 parameters for kaons. • No Zbeam parameters, except for POT • Difference lies in that only regions with no m+ contributions are fit. Three separate fits were performed: • le 010 z 000 i (all E) & le 010 z 185 i (with E>Ecut) • le 010 z 000 i (all E) 7

Fit 1: le 010 z 185 i (E>Ecut) & le 010 z 000 i

Fit 1: le 010 z 185 i (E>Ecut) & le 010 z 000 i (all E) le 010 z 185 i le 010 z 000 i 8

Fit 2: le 010 z 185 i (E>Ecut) le 010 z 185 i 9

Fit 2: le 010 z 185 i (E>Ecut) le 010 z 185 i 9

Fit 3: le 010 z 000 i (all E) le 010 z 000 i

Fit 3: le 010 z 000 i (all E) le 010 z 000 i 10

Predicting from the three fits: 11

Predicting from the three fits: 11

Fit 1: le 010 z 185 i (E>Ecut) & le 010 z 000 i

Fit 1: le 010 z 185 i (E>Ecut) & le 010 z 000 i (all E) MC (no m+) Fit MC (no m+) data-Fit MC data Fit MC, no m+ n from m+, MC 12

Fit 2: le 010 z 185 i (E>Ecut) MC (no m+) Fit MC (no

Fit 2: le 010 z 185 i (E>Ecut) MC (no m+) Fit MC (no m+) data-Fit MC data Fit MC, no m+ n from m+, MC 13

Fit 3: le 010 z 000 i (all E) MC (no m+) Fit MC

Fit 3: le 010 z 000 i (all E) MC (no m+) Fit MC (no m+) data-Fit MC data Fit MC, no m+ n from m+, MC 14

Summary of Results data-Fit/Scaled MC, E < Ecut (candidates for m+ decay) data-Fit/Scaled MC,

Summary of Results data-Fit/Scaled MC, E < Ecut (candidates for m+ decay) data-Fit/Scaled MC, E > Ecut MC 375. 8 79. 5 Scale method 1 1015. 6 -211. 8 Scale method 2 1001. 8 -213. 9 Scale method 3 806. 2 -234. 6 Scale method 4 1640. 7 -43. 2 Scale method 5 540. 3 -53. 45 Fit method 1 546. 4 1. 9 Fit method 2 -283. 2 -138. 9 Fit method 3 1395. 4 -265. 4 all methods n from m+ decay candidates 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 m+ all methods (except fit method 2) n from m+ decay candidates 15