total flux uncertainty : 11% next : momentum distribution uncertainty 方針 beam MC のtrue momentum binごとにsys. error を見積もる emulsion MC から得たmatrix で true reconstructed の変換を行って最終結果を得る true momentum bin 間の誤差相関も見積もる similar scheme as neutrino flux study covariance matrix momentum peak 位置やmean momentum などに対しても covariance matrix に応じてランダムに振ることで 誤差をつけて比較できるはず
muon momentum bins まずは以前提案した16bin で進める entry 数のバランスはいい感じ 250kA emulsion MC truth mom. recon. mom. 250kA emulsion data
analysis systematic errors on truth mom. bins : fractional error で与える truth-rec. conversion matrix : Nrec. 側で規格化 するとこれは各Nrec. へのNtrue からの寄与比になので fractional error はそのまま伝搬させられる
truth-rec correlation 250kA emulsion MC 良い相関が見えている 低運動量で、若干rec.が上に出やすい?
truth-rec correlation 250kA emulsion MC
rectruth conversion matrix 250kA emulsion MC 横方向の和 =1 fractional error の換算に使う
truthrec conversion matrix 250kA emulsion MC 縦方向の和=1 の場合 こっちでやるならabsolute error で伝搬させる
no data region ambitious? idea pion momentum > 7.6 GeV/c NA61 pi+ NA61 pi- no data region pion momentum > 7.6 GeV/c pion emission angle < 10mrad ambitious? idea if excess >5GeV/c region is enough significant after counting sys. errors other than pion production suggestion from emulsion / MUMON measurement ? (although pi+/pi- is cannot be separated)
rec mom. > 5GeV/c true mom. > 3.2GeV/c 87.4% 250kA emulsion MC rec. mom > 5GeV/c 250kA emulsion MC rec. mom > 7GeV/c true mom. [GeV/c] true mom. [GeV/c] rec mom. > 5GeV/c true mom. > 3.2GeV/c 87.4% rec mom. > 7GeV/c true mom. > 5GeV/c 75.4%
true muon mom. : pion momentum 0kA FLUKA MC true mom > 3.2GeV/c 0kA FLUKA MC true mom > 3.2GeV/c 0kA FLUKA MC true mom > 5GeV/c 8 pion mom. [GeV/c] pion mom. [GeV/c] true mom > 3.2 GeV/c : pion mom > 8GeV/c pion purity : 77% (pi+50%, pi- 27%) true mom > 5 GeV/c : pion mom > 10GeV/c pion purity : 80% (pi+53%, pi- 27%)
pion angle true mom > 3.2 GeV/c : pion <10mrad = 71% 0kA FLUKA MC true mom > 3.2GeV/c 0kA FLUKA MC true mom > 5GeV/c pion angle. [rad] pion angle. [rad] true mom > 3.2 GeV/c : pion <10mrad = 71% true mom > 5 GeV/c : pion < 10mrad = 75%
pion angle 0kA sample is better for this study 0kA FLUKA MC true mom > 3.2GeV/c 250kA FLUKA MC true mom > 3.2GeV/c pion angle. [rad] pion angle. [rad] 0kA sample is better for this study