Search for e / K.Hayasaka(Nagoya U.) Belle Collaboration 1 - - PowerPoint PPT Presentation

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Search for e / K.Hayasaka(Nagoya U.) Belle Collaboration 1 - - PowerPoint PPT Presentation

Search for e / K.Hayasaka(Nagoya U.) Belle Collaboration 1 Sep/15/2004 Introduction Lepton Flavour Violating ( LFV ) process: forbidden in SM probe of new physics SUSY model predicts: ~ ~ B B most sensitive mode


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SLIDE 1

Sep/15/2004

1

Search for τeγ / µγ

K.Hayasaka(Nagoya U.) Belle Collaboration

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SLIDE 2

Sep/15/2004 Tau04 @ Nara

2

Introduction

Lepton Flavour Violating (LFV) process:

forbidden in SM probe of new physics

SUSY model predicts:

most sensitive mode in the LFV decays.

We SHOULD search for

not only for τµγ but also for τeγ .

B

~

B

~

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SLIDE 3

Sep/15/2004 Tau04 @ Nara

3

asymmetric collider

cross section@ s~110GeV2

σ(bb):σ(ττ)=1.05:0.912

A B-factory is also a τ-factory!

KEKB accelerator/Belle detector

_

Peak Lum. 1.4x1034 (cm-2s-1) Total Logged Lum. 288fb-1

  • asymmetric detector

µ−ID:eff. 87.5% e-ID:eff. 92.4%

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Signatures of the Signal and of the BGs

Signal Event

– (e+γ)+(e+nγ)

/

τ τ

e e e

γ

generic decay

Expected BG Events

– Bhabha process

e e e e

γ τ τ

e e

generic decay

e

ν ν γ

ττ process

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Sep/15/2004 Tau04 @ Nara

5

Selection Criteria

2 charged tracks + more than 1 γ

– signal side : 1 charged+1 photon – tag side

: 1 charged+ n photons e-ID>0.9 & e-ID<0.1 restrict kinematical variables

– momentum e,tag,γ,missing – polar angle e,tag,γ,missing – opening angle e-tag, e-γ, tag-missing – missing mass vs missing mom.

analysis for 87fb-1 data sample

τ τ

e e e

γ

generic decay

tag

missing 1-1 prong

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Sep/15/2004 Tau04 @ Nara

6

Nagoya Cut

Pmiss vs m2miss

ττ events have large missing mass

signal MC

ττ MC

τ τ

e e e

ν ν γ ν

charged particle 98% of the τ+τ− bkg is removed.

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Sep/15/2004 Tau04 @ Nara

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All selections applied for signal MC events

Meγ and ∆E resolutions

25.7/14.3MeV/c2 +5σ region 6.5%

  • Asymmetric Gaussian

+1σ +1σ

  • 84.8/36.0MeV

∆E=Ee+Eγ-Ebeam @CM Meγ= (Pe+Pγ)2

Meγ ∆E

# of events. # of events.

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Sep/15/2004 Tau04 @ Nara

8

  • 0.5
  • 0.25

1.6 1.8 2 Meγ(GeV/c2) ∆E(GeV)

Blind Analysis

Signal dominant region is masked.

Masked!

ττBG

: ττMC Bhabha BG : data Shape of BG distribution is evaluated. Its height is decided with data distribution of the side-band region.

side-band region

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SLIDE 9

Sep/15/2004 Tau04 @ Nara

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BG distribution (MC)

Estimate BG distribution

from ττ MC

curve (Landau+Gauss)

reproduce BG distribution by function

  • 0.5

0.5 1.6 1.8 2

Meγ(GeV/c2) ∆E(GeV)

5 10

# of ev. Meγ(GeV/c2) 1.9 - 2.0

5 10

# of ev. 1.8 1.9

  • 5

10

# of ev. 1.7 1.8

  • 5

10

# of ev. 1.6 1.7

  • 5

10

  • 1
  • 0.5

0.5

∆E (GeV) # of ev. 1.5 1.6

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10

BG distribution (data)

Estimate from MC and side-band of data

data(side band) ττ MC ee 64 = 61 3

Masked!

profile plot curve (Landau+Gauss)

ττMC ~

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60 events found. (# of estimated BG:64) 20 events survived in +5σ region

signal MC surviving data

signal events dominate

+5σ

  • Final Candidates (τeγ)
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Sep/15/2004 Tau04 @ Nara

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Evaluation of signal events

fit by unbinned expanded maximum likelihood

with signal and BG shape s0=0,b0=20

Estimation for U.L. of s90 @ 90%CL

by Toy MC: generate 10000 events

result

– s90=3.8 events

Branching fraction

Br=s0/2εNττ<3.8x10-7

ε:detection efficiency Nττ:total event number

Signal yield : s0

e-ID ineff. 0.01/0.02 ev. BG function 0.13 ev.

Efficiency & Luminosity : 2εNττ

Track rec. eff. 2.0% Photon rec. eff. 2.8% Selection criteria 2.5% Luminosity 1.4% Trigger eff. 5.0% MC statistics 0.2% Total 6.8%

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Search for τµγ

Almost same selection criteria as τeγ

– for tag side track, require not to be µ

Main BG: ττγ & µµγ(from µ-ID ineff.)

  • 0.4
  • 0.2

0.2 1.6 1.8 2

Minv (GeV/c2) ∆E (GeV)

Data

10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 20

∆E (GeV) ∆E (GeV)

  • 0.5

0.0

  • 0.5

0.0 0.5

τ pair MC (µµ) Data (µµ)

Minv(GeV) 1.4~1.5 2.1~2.2 1.5~1.6 1.6~1.7 1.7~1.8 1.8~1.9 1.9~2.0 2.0~2.1

(x ineff.)

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Sep/15/2004 Tau04 @ Nara

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Final Candidates ( τµγ )

54 events survived in +5σ region

  • 0.4
  • 0.2

0.2 1.6 1.8 2

Minv (GeV/c2) ∆E (GeV)

  • 1.0
  • 0.5

0.0

5

10

# of events ∆E (GeV)

Data Signal MC BG function

1.71<Minv<1.82GeV/c2

+5σ

signal MC

  • 11%
  • fitting result(UEML)
  • s=0

Evaluation for U.L.

  • s=5.1ev. @90%C.L.
  • Br<3.1x10-7 @90%C.L.

including systemaric uncertaunties

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SLIDE 15

Sep/15/2004 Tau04 @ Nara

15

Conclusion & Summary

Obtain BR UL’s with blind analyses. BG distributions are modeled well. Results are 10 times more sensitive than CLEO’s.

฀τµγ(86.3fb-1)

  • Nττ=7.87x107
  • 54 observed events
  • ε=11%
  • s=5.1ev. @90%C.L.
  • Br<3.1x10-7 @90%C.L.

฀τeγ(86.7fb-1)

  • Nττ=7.90x107
  • 20 observed events
  • ε=6.5%
  • s=3.8ev. @90%C.L.
  • Br<3.8x10-7 @90%C.L.
  • Phys. Rev. Lett. 92(2004) 171802
  • cf. Br<1.1x10-6@90%C.L. (CLEO)
  • cf. Br<2.7x10-6@90%C.L. (CLEO)