Study of kinematic fit for Higgs->inv. Yu Kato The Univ. of - - PowerPoint PPT Presentation

SLIDE 1

Study of kinematic fit for Higgs->inv.

Yu Kato The Univ. of Tokyo

Asian Physics and Software Meeting Nov. 28, 2017

SLIDE 2

pWe want to improve recoil mass resolution of Higgs->inv. analysis. 𝑓"𝑓# → 𝑎𝐼, 𝑎 → 𝑟𝑟, 𝐼 → 𝑗𝑜𝑤𝑗𝑡𝑗𝑐𝑚𝑓

𝑁012

3

= 𝑡

• − 𝐹8 3 − 𝑞

⃗8 3

pApply kinematic fit

minimize χ2 under constraints => method of Lagrange multipliers

𝜓3 = 𝜃 ⃗=>? − 𝜃 ⃗@1AB

C𝑊"E 𝜃

⃗=>? − 𝜃 ⃗@1AB + 2𝜇 ⃗C I 𝑔 ⃗

• measured parameters 𝜃

⃗ : 𝐹

KE, 𝜄ME, 𝜚KE, 𝐹 K3, 𝜄M3, 𝜚K3

• constraint function 𝑔

⃗ : 𝑛KE,K3 = 𝑛8 = 91.2 GeV, 𝛾KE = |𝑞KE|/𝐹

KE, 𝛾K3 = |𝑞K3|/𝐹 K3

• covariance matrix 𝑊 : 𝜏[(𝐹, 𝑑𝑝𝑡𝜄), 𝜏`(𝐹, 𝑑𝑝𝑡𝜄), 𝜏a(𝐹, 𝑑𝑝𝑡𝜄)

pUse MarlinKinfit

fitter engine : NewtonFitter ( use Newton-Raphson iterative method ) samples : ffH_ZZ_4n { ILD_l4_v02, ILD_s4_v02, (ILD_o1_v05) }

pStatus

• include jet resolution for each event ( from Z->uds 2jet sample data )
• recoil mass sigma becomes smaller a little

pPlan

1. apply BW mass constraint & Z natural width 2. consider ISR effect ( e.g. include aa_lowpt overlay) 3. (make my own kinematic fitter based on Kurata-san’s kinematic fitter)

kinematic fit

2017/12/1 Study of Kinematic Fit for Higgs->inv. 2

SLIDE 3

Jet resolution study ILD_l4_v02

2017/12/1 Study of Kinematic Fit for Higgs->inv. 3

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sv01-19-04_lcgeo.mILD_l4_v02

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sv01-19-04_lcgeo.mILD_l4_v02

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φ = φ δ

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sv01-19-04_lcgeo.mILD_l4_v02

15GeV 20GeV 30GeV 45.5GeV 60GeV 80GeV 100GeV 120GeV 150GeV 175GeV 200GeV 250GeV

SLIDE 4

Jet resolution study ILD_s4_v02

2017/12/1 Study of Kinematic Fit for Higgs->inv. 4

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θ = θ δ

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sv01-19-04_lcgeo.mILD_s4_v02

15GeV 20GeV 30GeV 45.5GeV 60GeV 80GeV 100GeV 120GeV 150GeV 175GeV 200GeV 250GeV

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θ = cos θ cos δ

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sv01-19-04_lcgeo.mILD_s4_v02

15GeV 20GeV 30GeV 45.5GeV 60GeV 80GeV 100GeV 120GeV 150GeV 175GeV 200GeV 250GeV

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φ = φ δ

0.05 0.1 0.15 0.2 0.25 0.3

sv01-19-04_lcgeo.mILD_s4_v02

15GeV 20GeV 30GeV 45.5GeV 60GeV 80GeV 100GeV 120GeV 150GeV 175GeV 200GeV 250GeV

SLIDE 5

MarlinKinfit result : jet beta constraint

2017/12/1 Study of Kinematic Fit for Higgs->inv. 5

Recoil Mass [GeV]

50 100 150 200 250

Events / 2.00 GeV

500 1000 1500 2000

sv01-19-04_lcgeo.mILD_l4_v02.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 130.4 sigma = 12.022 after fit: mean = 129.6 sigma = 10.051

sv01-19-04_lcgeo.mILD_l4_v02.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

Recoil Mass [GeV]

50 100 150 200 250

Events / 2.00 GeV

500 1000 1500 2000

sv01-19-04_lcgeo.mILD_l4_v02.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 130.8 sigma = 12.223 after fit: mean = 129.5 sigma = 10.051

sv01-19-04_lcgeo.mILD_l4_v02.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

Recoil Mass [GeV]

50 100 150 200 250

Events / 2.00 GeV

500 1000 1500 2000 2500

sv01-19-04_lcgeo.mILD_o1_v05.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 130.3 sigma = 11.669 after fit: mean = 129.2 sigma = 10.099

sv01-19-04_lcgeo.mILD_o1_v05.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

Recoil Mass [GeV]

50 100 150 200 250

Events / 2.00 GeV

500 1000 1500 2000 2500

sv01-19-04_lcgeo.mILD_o1_v05.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 130.2 sigma = 11.424 after fit: mean = 129.1 sigma = 9.978

sv01-19-04_lcgeo.mILD_o1_v05.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

Recoil Mass [GeV]

50 100 150 200 250

Events / 2.00 GeV

500 1000 1500 2000

sv01-19-04_lcgeo.mILD_s4_v02.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 130.8 sigma = 12.062 after fit: mean = 129.6 sigma = 10.110

sv01-19-04_lcgeo.mILD_s4_v02.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

Recoil Mass [GeV]

50 100 150 200 250

Events / 2.00 GeV

500 1000 1500 2000

sv01-19-04_lcgeo.mILD_s4_v02.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 131.1 sigma = 12.368 after fit: mean = 129.4 sigma = 10.432

sv01-19-04_lcgeo.mILD_s4_v02.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

ILD_l4_v02 ILD_s4_v02 ILD_o1_v05 right pol. left pol. Cut : no error fit && 𝜓3 < 500

SLIDE 6

MarlinKinfit result : jet massless constraint

2017/12/1 Study of Kinematic Fit for Higgs->inv. 6

ILD_l4_v02 ILD_s4_v02 ILD_o1_v05 right pol. left pol.

Recoil Mass [GeV]

50 100 150 200 250

Events / 2.00 GeV

500 1000 1500 2000

sv01-19-04_lcgeo.mILD_l4_v02.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 130.4 sigma = 12.021 after fit: mean = 127.9 sigma = 10.726

sv01-19-04_lcgeo.mILD_l4_v02.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

Recoil Mass [GeV]

50 100 150 200 250

Events / 2.00 GeV

500 1000 1500 2000

sv01-19-04_lcgeo.mILD_l4_v02.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 130.8 sigma = 12.224 after fit: mean = 127.9 sigma = 10.701

sv01-19-04_lcgeo.mILD_l4_v02.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

Recoil Mass [GeV]

50 100 150 200 250

Events / 2.00 GeV

500 1000 1500 2000 2500

sv01-19-04_lcgeo.mILD_o1_v05.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 130.3 sigma = 11.667 after fit: mean = 127.6 sigma = 10.822

sv01-19-04_lcgeo.mILD_o1_v05.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

Recoil Mass [GeV]

50 100 150 200 250

Events / 2.00 GeV

500 1000 1500 2000 2500

sv01-19-04_lcgeo.mILD_o1_v05.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 130.2 sigma = 11.424 after fit: mean = 127.5 sigma = 10.616

sv01-19-04_lcgeo.mILD_o1_v05.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

Recoil Mass [GeV]

50 100 150 200 250

Events / 2.00 GeV

500 1000 1500

sv01-19-04_lcgeo.mILD_s4_v02.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 130.8 sigma = 12.062 after fit: mean = 128.0 sigma = 10.827

sv01-19-04_lcgeo.mILD_s4_v02.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

Recoil Mass [GeV]

50 100 150 200 250

Events / 2.00 GeV

500 1000 1500 2000

sv01-19-04_lcgeo.mILD_s4_v02.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 131.1 sigma = 12.368 after fit: mean = 127.8 sigma = 11.160

sv01-19-04_lcgeo.mILD_s4_v02.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

Cut : no error fit && 𝜓3 < 500

SLIDE 7

backup

2017/12/1 Study of Kinematic Fit for Higgs->inv. 7

SLIDE 8

2017/12/1 Study of Kinematic Fit for Higgs->inv. 8

SLIDE 9

MarlinKinfit Z mass result : jet beta constraint

2017/12/1 Study of Kinematic Fit for Higgs->inv. 9

ILD_l4_v02 ILD_s4_v02 ILD_o1_v05 right pol. left pol.

lrzZ.M() [GeV]

50 100 150 200 250

Events / 2.00 GeV

2000 4000 6000 8000 10000 12000 14000

sv01-19-04_lcgeo.mILD_l4_v02.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 90.6 sigma = 9.240 after fit: mean = 91.2 sigma = 0.599

sv01-19-04_lcgeo.mILD_l4_v02.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

lrzZ.M() [GeV]

50 100 150 200 250

Events / 2.00 GeV

5000 10000 15000

sv01-19-04_lcgeo.mILD_l4_v02.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 90.2 sigma = 9.444 after fit: mean = 91.2 sigma = 0.619

sv01-19-04_lcgeo.mILD_l4_v02.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

lrzZ.M() [GeV]

50 100 150 200 250

Events / 2.00 GeV

5000 10000 15000

sv01-19-04_lcgeo.mILD_o1_v05.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 90.5 sigma = 9.211 after fit: mean = 91.3 sigma = 0.765

sv01-19-04_lcgeo.mILD_o1_v05.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

lrzZ.M() [GeV]

50 100 150 200 250

Events / 2.00 GeV

5000 10000 15000

sv01-19-04_lcgeo.mILD_o1_v05.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 90.5 sigma = 9.173 after fit: mean = 91.2 sigma = 0.749

sv01-19-04_lcgeo.mILD_o1_v05.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

lrzZ.M() [GeV]

50 100 150 200 250

Events / 2.00 GeV

2000 4000 6000 8000 10000 12000 14000

sv01-19-04_lcgeo.mILD_s4_v02.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 90.3 sigma = 9.321 after fit: mean = 91.2 sigma = 0.592

sv01-19-04_lcgeo.mILD_s4_v02.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

lrzZ.M() [GeV]

50 100 150 200 250

Events / 2.00 GeV

5000 10000 15000

sv01-19-04_lcgeo.mILD_s4_v02.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 90.0 sigma = 9.480 after fit: mean = 91.2 sigma = 0.641

sv01-19-04_lcgeo.mILD_s4_v02.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

SLIDE 10

MarlinKinfit Z mass result : jet massless constraint

2017/12/1 Study of Kinematic Fit for Higgs->inv. 10

ILD_l4_v02 ILD_s4_v02 ILD_o1_v05 right pol. left pol.

lrzZ.M() [GeV]

50 100 150 200 250

Events / 2.00 GeV

2000 4000 6000

sv01-19-04_lcgeo.mILD_l4_v02.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 90.6 sigma = 9.237 after fit: mean = 88.9 sigma = 3.268

sv01-19-04_lcgeo.mILD_l4_v02.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

lrzZ.M() [GeV]

50 100 150 200 250

Events / 2.00 GeV

2000 4000 6000

sv01-19-04_lcgeo.mILD_l4_v02.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 90.2 sigma = 9.439 after fit: mean = 89.0 sigma = 3.191

sv01-19-04_lcgeo.mILD_l4_v02.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

lrzZ.M() [GeV]

50 100 150 200 250

Events / 2.00 GeV

2000 4000 6000 8000

sv01-19-04_lcgeo.mILD_o1_v05.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 90.5 sigma = 9.197 after fit: mean = 88.9 sigma = 3.213

sv01-19-04_lcgeo.mILD_o1_v05.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

lrzZ.M() [GeV]

50 100 150 200 250

Events / 2.00 GeV

2000 4000 6000 8000

sv01-19-04_lcgeo.mILD_o1_v05.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 90.5 sigma = 9.169 after fit: mean = 88.9 sigma = 3.346

sv01-19-04_lcgeo.mILD_o1_v05.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

lrzZ.M() [GeV]

50 100 150 200 250

Events / 2.00 GeV

2000 4000 6000

sv01-19-04_lcgeo.mILD_s4_v02.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 90.3 sigma = 9.317 after fit: mean = 89.0 sigma = 3.211

sv01-19-04_lcgeo.mILD_s4_v02.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

lrzZ.M() [GeV]

50 100 150 200 250

Events / 2.00 GeV

2000 4000 6000

sv01-19-04_lcgeo.mILD_s4_v02.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 90.0 sigma = 9.470 after fit: mean = 89.0 sigma = 3.176

sv01-19-04_lcgeo.mILD_s4_v02.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

Cut : no error fit && 𝜓3 < 500

SLIDE 11

MarlinKinfit result (fixed res.) beta const.

2017/12/1 Study of Kinematic Fit for Higgs->inv. 11

Recoil Mass

50 100 150 200 250

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sv01-19-04_lcgeo.mILD_l4_v02.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 131.0 sigma = 13.593 after fit: mean = 129.9 sigma = 9.357

sv01-19-04_lcgeo.mILD_l4_v02.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

Recoil Mass

50 100 150 200 250

Events / 2.00 GeV

500 1000 1500 2000

sv01-19-04_lcgeo.mILD_l4_v02.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 131.4 sigma = 13.547 after fit: mean = 130.0 sigma = 9.273

sv01-19-04_lcgeo.mILD_l4_v02.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

Recoil Mass

50 100 150 200 250

Events / 2.00 GeV

500 1000 1500 2000

sv01-19-04_lcgeo.mILD_s4_v02.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 131.4 sigma = 13.526 after fit: mean = 130.1 sigma = 9.303

sv01-19-04_lcgeo.mILD_s4_v02.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

Recoil Mass

50 100 150 200 250

Events / 2.00 GeV

500 1000 1500 2000

sv01-19-04_lcgeo.mILD_s4_v02.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 131.6 sigma = 13.573 after fit: mean = 130.1 sigma = 9.319

sv01-19-04_lcgeo.mILD_s4_v02.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

Recoil Mass

50 100 150 200 250

Events / 2.00 GeV

500 1000 1500 2000 2500

sv01-19-04_lcgeo.mILD_o1_v05.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 130.3 sigma = 11.750 after fit: mean = 129.6 sigma = 9.513

sv01-19-04_lcgeo.mILD_o1_v05.eL.pR ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

Recoil Mass

50 100 150 200 250

Events / 2.00 GeV

500 1000 1500 2000 2500

sv01-19-04_lcgeo.mILD_o1_v05.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

before fit: mean = 130.2 sigma = 11.507 after fit: mean = 129.6 sigma = 9.327

sv01-19-04_lcgeo.mILD_o1_v05.eR.pL ((mkfprob > -0.5)&&(mkfchi2 < 500))&&(mkfmrec > 0)

ILD_l4_v02 ILD_s4_v02 ILD_o1_v05 right pol. left pol. Cut : no error fit && 𝜓3 < 500

SLIDE 12

lIn SM, Higgs decays invisibly through H → ZZ∗ → 4𝜉 (BR(H → 𝑗𝑜𝑤.)~0.1%) lIf BR(H → 𝑗𝑜𝑤.) exceeds SM prediction , it signifies new physics beyond SM (BSM) lWe estimate SM upper limit of BR(H → 𝑗𝑜𝑤.) lCompare between left & right polarization at the ILC

Motivation

2017/7/24 @ILC camp BSM search using invisible Higgs decay at the ILC 12

q q

BSM

X X

invisible

Dark Matter… SUSY…

visible 𝐶𝑆 H → XX ~? ? ? %

q q Z Z ν ν ν ν

𝐶𝑆 H → ZZ∗ → 4𝜉 ~0.1% invisible visible

Ø A. Ishikawa (Tohoku Univ.), ”Search for Invisible Higgs Decays at the ILC” LCWS2014@Belgrade Ø M. A. Thomson (Univ. of Cambridge), arXiv: 1509.02853 (2015)

LHC CMS result (95% CL)

• bserved (expected)

24% (23%)

SLIDE 13

Jet energy resolution study

2017/12/1 Study of Kinematic Fit for Higgs->inv. 13

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sv01-19-04_lcgeo.mILD_l4_v02

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mILD_l4_v02 mILD_s4_v02

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|<0.7 θ sv01-19-04_lcgeo |cos

mILD_l4_v02 mILD_s4_v02