ND Merged Spectrum Fitting Masaya Hasegawa for the

ND Merged Spectrum Fitting Masaya Hasegawa for the ND analysis group 2005. 06. 17 @ K 2 K collaboration meeting

Introduction Event Selection 1 KT p • Fit 1 kt, Sci. Fi and Sci. Bar thensame time. - Fully-contained 1 -ring mat -like – 1 kt: single ring m-like m – Sci. Fi: 1 track, 2 track-QE and 2 track-non. QE Sci. Fi and Sci. Bar (MRD or LG matching track) -– 1 -track Sci. Bar: 1 track, 2 track-QE and 2 track-non. QE - 2 -track QE-enhanced • Fit parameters Dqp<25 (Sci. Fi and Sci. Bar) Vertex – Common 8 En bins and non. QE - 2 -track non. QE-enhanced – Systematic parameters for each detector Dqp>30 (Sci. Fi) MRD Dqp>25 (Sci. Bar) m • Energy scale, tracking efficiency and so on. – PIMON constraint term (not a. Sci. Bar parameter) second track 2 2 • c 2 = c 21 kt +Dcqp 2 Observed + c Sci. Fi Sci. Bar+c PIMON Expected proton direction assuming CCQE m

Procedure Fitting condition Remove q cut + No CC coherent pion I’ll show the following fitting results. 1. comparison with precious result (w/ q cut & w/ CC cohe) 2. Flux vs Fitting condition - w/ q cut + w/ CC cohe - w/ q cut + w/o CC cohe - w/o q cut + w/o CC cohe Official 3. Merged vs each detector

Fit result ( Previous vs This time ) l Spectrum shape (>0. 50 Ge. V) is consistent with previous result. (As for the change of 1 st bin, cause is as Ryan presented. )

Merged Fit result Merged c 2/dof = 688. 2/588 = 1. 170 1 kt part c 2/nbins = 85. 6/80 Sci. Fi part c 2/nbins = 336. 3/286 Sci. Bar part c 2/nbins = 265. 5/239 PIMON part c 2/nbins = 0. 8/3 Fitted flux is consistent both Merged and each FD result.

Fit result vs Fitting conditions Official Fitted flux from q cut with CCcoh, q cut w/o CC cohe and w/ all region are consistent.

Rnqe error Rnqe Fitted Rnqe value w/ fixed flux and syst. params. 0. 96 1. 04 0. 76 0. 99 1. 06 l 1 KT/SF/SB show different Rnqe values systematically. l. To cover this difference, we quote ‘ 0. 20’ on the fitting error additionally.

Best Fit values NO. PARAMETER 1 E 0. 00 -0. 50 2 E 0. 50 -0. 75 3 E 0. 75 -1. 00 4 E 1. 00 -1. 50 5 E 1. 50 -2. 00 6 E 2. 00 -2. 50 7 E 2. 50 -3. 00 8 E 3. 0016 QE 17 non-QE 21 KT-Norm 22 KT-Pscale 31 SF-Norm 32 SF-Escale 33 SF-LGof 34 SF-Rteff 35 SF-Re. Scat 36 SF-FCoh. Pi 37 SF-LGCls. Er 51 SB-Norm 52 SB-Pscale 53 SB-2 tr/1 tr 54 SB-2 t. NQEQE VALUE 1. 656869 1. 107901 1. 154942 1. 000000 0. 918109 1. 044641 1. 184876 1. 231980 1. 000000 0. 963973 0. 947615 0. 983805 1. 009451 0. 979021 0. 929138 0. 960102 1. 048802 1. 000000 -1. 388842 0. 998369 0. 975813 1. 010893 1. 097857 ERROR 0. 43746308 0. 07471914 0. 05993717 Fixed 0. 04044029 0. 05276575 0. 13656657 0. 17891577 Fixed 0. 20311104 0. 03541320 0. 02362185 0. 00374963 0. 02803458 0. 00610558 0. 01182897 　Please Click 0. 01366356 0. 05526631 Fixed 2. 48794809 ＊Any virus is not attached. 0. 00981270 Please trust me. 0. 00351613 0. 02273789 0. 03262656

Error Matrix 1 E 0. 0 -0. 5 2 E 0. 5 -0. 75 3 E 0. 75 -1. 0 5 E 1. 5 -2. 0 6 E 2. 0 -2. 5 7 E 2. 5 -3. 0 8 E 3. 017 non-QE 1 E 0. 0 -0. 5 0. 19237937 -0. 00099665 0. 00530378 -0. 00048795 -0. 00005745 -0. 00121120 0. 00006579 -0. 00743636 2 E 0. 5 -0. 75 -0. 00099665 0. 00564689 0. 00038794 0. 00035926 0. 00003783 0. 00016680 0. 00059136 -0. 00322463 3 E 0. 75 -1. 0 0. 00530378 0. 00038794 0. 00359762 0. 00114526 0. 00026513 0. 00118267 0. 00029144 -0. 00089560 5 E 1. 5 -2. 0 -0. 00048795 0. 00035926 0. 00114526 0. 00163595 -0. 00034692 0. 00205114 0. 00048377 0. 00027389 6 E 2. 0 -2. 5 -0. 00005745 0. 00003783 0. 00026513 -0. 00034692 0. 00278455 -0. 00342407 0. 00260901 0. 00008826 7 E 2. 5 -3. 0 -0. 00121120 0. 00016680 0. 00118267 0. 00205114 -0. 00342407 0. 01868150 -0. 01028536 0. 00167245 8 E 3. 00006579 0. 00059136 0. 00029144 0. 00048377 0. 00260901 -0. 01028536 0. 03368759 -0. 01385918 17 non-QE -0. 00743636 -0. 00322463 -0. 00089560 0. 00027389 0. 00008826 0. 00167245 -0. 01385918 0. 04120000 l l l l 　Please Click ＊Any virus is not attached. Please trust me.

Basic distributions (1 KT) Pm qm Enrec

Basic Distributions (Sci. Bar) All histgrams agree well. QE-like 1 Track non. QE-like Pm Pm Pm qm qm qm Enrec

Neutrino energy spectrum shape @ Near Site

Summary • 1 kt, Sci. Fi and Sci. Bar are fitted at the same time. • Flux shape is consistent w/ previous result within the uncertainty. • non. QE value differs between Merged fit result and each ND fit result. – Uncertainty is ~20%. additional error. • Basic distributions (1 KT, Sci. Bar) agree well between data and fitted MC.

Supplement

Fitting result for ‘ 04 data set under various conditions Supplement For comparison Official flux For comparison No coherent pi also shows higher value for 1 st bin.

0. 0 -0. 5 Ge. V bin Error (Fit+Additional) Merged ’ 05 Merged’ 04 (no cohe) Merged’ 04 l The previous data returns consistent value when CC coherent pion is removed. l Additional non. QE error almost covers the discrepancy between ‘ 04 result and ’ 05 result.