Sensitivity study of at the Belle II experiment Outline Michel - - PowerPoint PPT Presentation

sensitivity study of at the belle ii experiment
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Sensitivity study of at the Belle II experiment Outline Michel - - PowerPoint PPT Presentation

Sensitivity study of at the Belle II experiment Outline Michel Hernndez Villanueva, B-factories and Cinvestav Group physics. Mexico City Second class currents decay 28 Sep 2017


slide-1
SLIDE 1

Outline

  • B-factories and 𝜐

physics.

  • Second class currents
  • 𝜐→𝜃𝜌𝜉 decay
  • Outlook.

Sensitivity study of 𝜐→𝜃𝜌𝜉 at the Belle II experiment

Michel Hernández Villanueva, 
 Cinvestav Group
 Mexico City

28 Sep 2017

slide-2
SLIDE 2

B Factories

  • B-Factory

  • 𝝊 factory too!


𝝉(e+e- —> 𝜱(4s)) = 1.05 nb
 𝝉(e+e- —> 𝝊 𝝊) = 0.92 nb

10.58 GeV

2 Michel H. Villanueva 2

BR(Υ(4S) → B ¯ B) > 96%

slide-3
SLIDE 3

Integrated Luminosity of B factories

3 Michel H. Villanueva 3 High-luminosity experiments.

6.54x108 𝝊’s 3.98x108 𝝊’s

slide-4
SLIDE 4

4 Michel H. Villanueva

SuperKEKB

  • Super B-Factory


(And 𝝊 factory too!)

  • Integrated

luminosity expected: 50 ab-1
 (4.6x1010 𝝊 pairs)

  • Full physics

program starts: 
 late 2018 @KEK
 Tsukuba, Japan

slide-5
SLIDE 5

5 Michel H. Villanueva

Belle II Detector

slide-6
SLIDE 6

6 Michel H. Villanueva

Belle II MC samples

MC Sample:
 ~ 2 ab-1
 (1 ab-1 for training, 
 1 ab-1 for analysis).

slide-7
SLIDE 7

Mexican Contribution

7

~1.4% CPU usage


  • f the grid
  • 504 cores


3.7 KHS06
 
 70 TB storage

slide-8
SLIDE 8
  • In this work, we are studying

the feasibility to measure the decay 


𝜐→𝜃𝜌𝜉 , 


in order to get information related at:

  • Second class currents.
  • Scalar and tensorial

currents.

8 Michel H. Villanueva

The 𝜐→𝜃𝜌𝜉 decay

Disadvantage: We cannot detect 𝜉

slide-9
SLIDE 9
  • Mechanisms in the SM: isospin violation1

9

  • The corresponding suppression of the SM contribution can make new

physics visible.

Charged Higgs exchange

Michel H. Villanueva

The 𝜐→𝜃𝜌𝜉 decay

1 R. Escribano, S. Gonzalez, P. Roig; Phys.Rev. D94 (2016) no.3, 034008

Leptoquark
 exchange

+

slide-10
SLIDE 10

10

  • BR(𝜐→𝜃𝜌𝜉) ~ 10-5

Accesible at Belle II luminosity.

[8] S. Nussinov + A. Soffer, PRD78, (2008) [9] N. Paver + Riazuddin, PRD82, (2010) [10] M. Volkov D. Kostunin, PRD82, (2012) [11] S. Descotes-Genon+B. Moussallam, EJPC74, (2014) [12] R. Escribano, S. Gonzalez, P. Roig; Phys.Rev. D94 (2016) no.3, 034008

Ref BRV (x105) BRS (x105) BRV+S (x105) Model [8] 0.36 1.0 1.36 MDM, 1 resonance [9] [0.2, 0.6] [0.2, 2.3] [0.4, 2.9] MDM, 1 and 2 resonances [10] 0.44 0.04 0.48 Nambu-Jona-Lasinio [11] 0.13 0.20 0.33 Analiticity, Unitarity [12] 0.26 1.41 1.67 3 coupled channels

Michel H. Villanueva

Some recent theoretical predictions

Largest difference comes
 from scalar form factor.

slide-11
SLIDE 11
  • NP contributions (scalar and tensorial currents) can be studied in the

framework of an effective field theory 1

11 Michel H. Villanueva

The 𝜐→𝜃𝜌𝜉 decay

1 E. A. Garcés, MHV, G. López Castro, P. Roig; arXiv:1708.07802

SM Belle BaBar CLEO

  • Constraints on scalar and tensor

couplings can be obtained from experimental upper limits on branching fractions.

Belle BaBar CLEO SM

slide-12
SLIDE 12
  • This decay mode should have already been discovered

if there were no strong background.

  • Control of the background is essential.

12

470 fb-1 670 fb-1

Michel H. Villanueva

Previous Results

slide-13
SLIDE 13

13 Michel H. Villanueva

Thrust axis

  • Thrust axis: such that


is maximum.

ˆ nthrust Vthrust

Vthrust = P

i |~

pi

cm · ˆ

nthrust| P

i |~

pi cm|

ˆ nthrust

The thrust axis define a plane which splits the space in two.

tag side signal side

slide-14
SLIDE 14

14

τ τ π η γ γ ντ ντ ` ¯ ν` τ τ π π π η π0 γ γ ντ ντ ` ¯ ν`

Tag side

Signal side

Michel H. Villanueva

e+ e−

1-prong 3-prong

2 ways to reconstruct 𝜃

BR(𝜃 —> 𝛿𝛿) = 39.41% BR(𝜃 —> 𝜌𝜌𝜌0) = 22.92%

  • Thrust axis: such that


is maximum.

ˆ nthrust Vthrust

Vthrust = P

i |~

pi

cm · ˆ

nthrust| P

i |~

pi cm|

e+ e−

slide-15
SLIDE 15
  • Selection criteria :tag + 1 or 3 charged + 2 or 3 𝛿.
  • Signal events generated: 4M.


(2M for training and 2M for sensitivity study).

1-prong 3-prong

η → γγ

η → π+π−π0

] 2 [GeV/c γ γ Invariant Mass 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 Events / ( 0.002 ) 20 40 60 80 100 120 140 160 180 200 3 10 ×

π0 → γγ

Mis-reconstructed 𝜌0

15

𝛿 from other sources

Michel H. Villanueva

𝜐→𝜃𝜌𝜉 signal events

Eff: 13.56% Eff: 3.70%

BR(𝜃 —> 𝛿𝛿) = 39.41% BR(𝜃 —> 𝜌𝜌𝜌0) = 22.92%

slide-16
SLIDE 16

16 Michel H. Villanueva

𝜐→𝜃𝜌𝜉 bkg events

  • Background sources:

  • 𝝊𝝊 pair

  • bb pair

  • qq pair

1-prong

bb pair qq pair tau pair

1 ab-1 MC 1 ab-1 MC

1 ab-1 MC

Eff: 0.002% Eff: 0.34% Eff: 0.006%

𝜌0 veto
 applied.

slide-17
SLIDE 17

17 Michel H. Villanueva

BDT variables (1-prong)

  • ∠(𝜃,𝜌)
  • ∠(pmiss, Vthrust)
  • Mmiss
  • Pt(𝜌)
  • 𝜃(𝜃)
  • ∠(𝛿, 𝛿)𝜃

TMVA used for this test.

  • cos(𝜄miss)
  • PIDe(𝜌)
  • PIDµ(𝜌)
  • PIDK(𝜌)
  • E(𝛿)

Corte en BDT 0.1 − 0.05 − 0.05 0.1 0.15 0.2 0.25 0.3

  • No. de Background

200 400 600 800 1000 1200

3

10 ×

Eficiencia 0.02 0.04 0.06 0.08 0.1 0.12

Punzi

Optimal 
 cut

100 − 80 − 60 − 40 − 20 − 20 40 60 80 100

η ) γ , γ ( ∠ π P t η η miss M ) π , η ( ∠ ) 2 γ ) + E ( 1 γ E ( ) π ( K # P I D ) π ( µ # P I D ) π ( e # P I D ) miss θ c
  • s
( ) thrust , V miss ( p ∠ η ) γ , γ ( ∠ π Pt η η miss M ) π , η ( ∠ ) 2 γ ) + E( 1 γ E( ) π ( K #PID ) π ( µ #PID ) π ( e #PID ) miss θ cos( ) thrust ,V miss (p

Correlation Matrix (background)

100 1 10

  • 3
  • 3

5

  • 2

4 6 1 100

  • 1
  • 19
  • 6
  • 8

3

  • 6

1 1 4 10

  • 1

100 10 15

  • 5
  • 10

3

  • 55

4

  • 3
  • 19

10 100 26

  • 50
  • 4

6 3

  • 6
  • 3
  • 6

15 26 100

  • 9
  • 2

12

  • 4
  • 19

5

  • 8
  • 5
  • 50
  • 9

100

  • 6

6

  • 3

33 3

  • 10
  • 4
  • 2
  • 6

100

  • 3

8 1

  • 2
  • 6

6 12 6

  • 3

100

  • 7
  • 2

4 1 3 3

  • 7

100

  • 2

6 1

  • 55
  • 6
  • 4
  • 3

8

  • 2

100

  • 18

4 4

  • 19

33 1

  • 2
  • 18

100

Linear correlation coefficients in %

100 − 80 − 60 − 40 − 20 − 20 40 60 80 100

η ) γ , γ ( ∠ π Pt η η miss M ) π , η ( ∠ ) 2 γ ) + E( 1 γ E( ) π ( K #PID ) π ( µ #PID ) π ( e #PID ) miss θ cos( ) thrust ,V miss (p ∠ η ) γ , γ ( ∠ π Pt η η miss M ) π , η ( ∠ ) 2 γ ) + E( 1 γ E( ) π ( K #PID ) π ( µ #PID ) π ( e #PID ) miss θ cos( ) thrust ,V miss (p

Correlation Matrix (signal)

100 12 19

  • 7
  • 15

4

  • 1
  • 4
  • 2
  • 3
  • 1

12 100

  • 37
  • 60
  • 24

7

  • 24
  • 9

25 19 100 1

  • 20
  • 3
  • 2
  • 54
  • 7
  • 37

100 41

  • 54
  • 5

8 2

  • 2
  • 15
  • 60

41 100

  • 8
  • 12

18 9

  • 32

4

  • 24

1

  • 54
  • 8

100

  • 5

6 2

  • 1

37

  • 1

7

  • 20
  • 5
  • 12
  • 5

100

  • 4

14 4

  • 4
  • 24
  • 3

8 18 6

  • 4

100

  • 2

2

  • 6
  • 2
  • 9
  • 2

2 9 2

  • 2

100

  • 1
  • 3
  • 54
  • 1

14 2 100

  • 1

25

  • 2
  • 32

37 4

  • 6
  • 1

100

Linear correlation coefficients in %

BDT response

0.6 − 0.4 − 0.2 − 0.2 0.4

dx / (1/N) dN

1 2 3 4 5

Signal (test sample) Background (test sample) Signal (training sample) Background (training sample)

Kolmogorov-Smirnov test: signal (background) probability = 0.81 (0.063)

U/O-flow (S,B): (0.0, 0.0)% / (0.0, 0.0)%

TMVA overtraining check for classifier: BDT

Optimization proposed by Punzi, G.
 at arXiv preprint physics/0308063

✏ a/2 + √ B

slide-18
SLIDE 18

]

2

[GeV/c γ γ Invariant Mass 0.4 0.45 0.5 0.55 0.6 0.65 Events / ( 0.0025 ) 2000 4000 6000 8000 10000 12000 14000 16000 18000 20000

]

2

) [GeV/c γ γ ( η Invariant Mass 0.4 0.42 0.44 0.46 0.48 0.5 0.52 0.54 0.56 0.58 0.6 Events / ( 0.004 ) 2000 4000 6000 8000 10000 12000 14000 16000 18000 20000

0.010 ± = 1.039 α 0.000051 ± = 0.540854 µ 0.000038 ± = 0.010962 σ 0.039 ± n = 2.309

18 Michel H. Villanueva

Optimal BDT cut

Nsig=157,680
 Eff: 7.88%

Nsig = 271,258 Eff: 13.56%

Effcut = 41.87% Signal

1-prong

slide-19
SLIDE 19

]

2

[GeV/c γ γ Invariant Mass 0.4 0.45 0.5 0.55 0.6 0.65 Events / ( 0.0025 ) 1000 2000 3000 4000 5000 6000 7000

MC events ν ) π π → ρ ( ν ) π π π →

1

(a ν γ π π b b q q

]

2

[GeV/c γ γ Invariant Mass 0.4 0.45 0.5 0.55 0.6 0.65 Events / ( 0.0025 ) 10000 20000 30000 40000 50000 MC events ν ) π π → ρ ( ν ) π π π →

1

(a ν γ π π b b q q

19 Michel H. Villanueva

Optimal BDT cut

Nbkg=417,217
 Eff: 5.26x10-4

Nbkg = 2,694,408 Eff: 0.34%

Effcut = 84.51% Background

1-prong

MC events ν ) π π → ρ ( ν ) π π π →

1

(a ν γ π π b b q q

𝜈 ± 3σ

98,146 events

slide-20
SLIDE 20

20 Michel H. Villanueva

𝜐→𝜃𝜌𝜉 bkg events

  • Background sources:

  • 𝝊𝝊 pair

  • bb pair

  • qq pair

3-prong

1 ab-1 MC 1 ab-1 MC

1 ab-1 MC

Eff: 5.6x10-6 Eff: 0.028% Eff: 7.6x10-6

bb pair qq pair tau pair

3𝛒𝛒0 is the mayor issue. (This depends of the hadronic input in the generation of MC)

slide-21
SLIDE 21

BDT cut 0.1 − 0.05 − 0.05 0.1 0.15 0.2 0.25 0.3 Background number 20 40 60 80 100 120

3

10 ×

Efficiency 0.005 0.01 0.015 0.02 0.025 0.03 0.035

Punzi

21 Michel H. Villanueva

BDT variables (3-prong)

  • ∠(𝜃,𝜌)
  • ∠(pmiss, Vthrust)
  • ∠(𝜌, 𝜌0)
  • ∠(𝛿, 𝛿)𝜌0
  • Mmiss
  • Pt(𝜌)
  • Pt(𝜃)
  • Pt(𝜌0)
  • 𝜃(𝜌0)
  • E(𝛿)

Optimal 
 cut

100 − 80 − 60 − 40 − 20 − 20 40 60 80 100

π ) γ , γ ( ∠ π P t η P t π P t π η miss M ) π , η ( ∠ ) π ^ , π ( ∠ ) 2 γ ) + E ( 1 γ E ( ) miss θ c
  • s
( ) thrust , V miss ( p ∠ π ) γ , γ ( ∠ π Pt η Pt π Pt π η miss M ) π , η ( ∠ ) π ^0 , π ( ∠ ) 2 γ ) + E( 1 γ E( ) miss θ cos( ) thrust ,V miss (p

Correlation Matrix (signal)

100 9

  • 54
  • 2

2 33 7 34

  • 76
  • 1
  • 24

9 100

  • 17

1

  • 1
  • 38
  • 57

10

  • 15

25

  • 54
  • 17

100 8

  • 4
  • 52
  • 8
  • 61

61 1 34

  • 2

1 8 100

  • 6
  • 2
  • 5

7 4 2

  • 1
  • 4

100 2 2

  • 1
  • 56
  • 2

33

  • 38
  • 52
  • 6

2 100 41 38

  • 37
  • 2
  • 3

7

  • 57
  • 8
  • 2

41 100 5

  • 6
  • 31

34 10

  • 61
  • 5

2 38 5 100

  • 36
  • 1
  • 27
  • 76
  • 15

61 7

  • 1
  • 37
  • 6
  • 36

100 24

  • 1

1

  • 56
  • 2
  • 1

100

  • 1
  • 24

25 34 4

  • 2
  • 3
  • 31
  • 27

24

  • 1

100

Linear correlation coefficients in %

100 − 80 − 60 − 40 − 20 − 20 40 60 80 100

π ) γ , γ ( ∠ π P t η P t π P t π η miss M ) π , η ( ∠ ) π ^ , π ( ∠ ) 2 γ ) + E ( 1 γ E ( ) miss θ c
  • s
( ) thrust , V miss ( p ∠ π ) γ , γ ( ∠ π Pt η Pt π Pt π η miss M ) π , η ( ∠ ) π ^0 , π ( ∠ ) 2 γ ) + E( 1 γ E( ) miss θ cos( ) thrust ,V miss (p

Correlation Matrix (background)

100 16

  • 56
  • 8

10 24 2 29

  • 76
  • 15

16 100

  • 19
  • 1
  • 8
  • 45
  • 41

11

  • 19

7 21

  • 56
  • 19

100 5

  • 29
  • 46
  • 2
  • 58

61 12 23

  • 8
  • 1

5 100

  • 3
  • 5

12 1 10

  • 8
  • 29
  • 3

100 17 10 10

  • 10
  • 54

1 24

  • 45
  • 46

17 100 34 31

  • 25
  • 10

2

  • 41
  • 2

10 34 100 4

  • 4
  • 18

29 11

  • 58
  • 5

10 31 4 100

  • 29
  • 3
  • 17
  • 76
  • 19

61 12

  • 10
  • 25
  • 29

100 1 15 7 12 1

  • 54
  • 10
  • 4
  • 3

1 100

  • 14
  • 15

21 23 1

  • 18
  • 17

15

  • 14

100

Linear correlation coefficients in %

BDT response

0.6 − 0.4 − 0.2 − 0.2 0.4

dx / (1/N) dN

1 2 3 4 5

Signal (test sample) Background (test sample) Signal (training sample) Background (training sample)

Kolmogorov-Smirnov test: signal (background) probability = 0.005 (0.149)

U/O-flow (S,B): (0.0, 0.0)% / (0.0, 0.0)%

TMVA overtraining check for classifier: BDT

✏ a/2 + √ B

slide-22
SLIDE 22

]

2

) [GeV/c π π π ( η Invariant Mass 0.5 0.51 0.52 0.53 0.54 0.55 0.56 0.57 0.58 0.59 0.6 Events / ( 0.002 ) 1000 2000 3000 4000 5000 6000

0.017 ± = 1.167 α 0.000034 ± = 0.545065 µ 0.0000051 ± = 0.0050000 σ 123 ± Nb = 9408 206 ± Ns = 36420 35 ± = 102 a 18 ± n = 98

22 Michel H. Villanueva

Optimal BDT cut

Nsig=36,420
 Eff: 1.82%

Nsig = 74,088 Eff: 3.70%

Effcut = 38.14% Signal

3-prong

slide-23
SLIDE 23

]

2

[GeV/c π

  • π

+

π Invariant Mass 0.5 0.51 0.52 0.53 0.54 0.55 0.56 0.57 0.58 0.59 0.6 Events / ( 0.001 ) 100 200 300 400 500 600

MC events ν ) π π π π ( ν ) π π π →

1

(a ν π ω π b b q q

]

2

[GeV/c γ γ Invariant Mass 0.5 0.51 0.52 0.53 0.54 0.55 0.56 0.57 0.58 0.59 0.6 Events / ( 0.001 ) 500 1000 1500 2000 2500 3000 3500 4000

MC events ν ) π π π π ( ν ) π π π →

1

(a ν π ω π b b q q

23 Michel H. Villanueva

Optimal BDT cut

Nbkg=39,634
 Eff: 5.0x10-5

Nbkg = 240,438 Eff: 3.03x10-4

Effcut = 83.52% Background

3-prong

𝜈 ± 3σ

12,120 events

slide-24
SLIDE 24

24 Michel H. Villanueva

Estimation @ 1 ab-1

  • BR(𝜐→𝜃𝜌𝜉) ~ 10-5

In the mass window of 𝜃:

  • Nbkg = 98,146

Nsig = ✏ · ττ · BR(⌧ → `⌫¯ ⌫) · L · BR(⌧ → ⌘⇡⌫) Nsig p Nbkg ' 0.786 In the mass window of 𝜃:

  • Nbkg = 12,120

Nsig p Nbkg ' 0.516

3-prong 1-prong

slide-25
SLIDE 25

25 Michel H. Villanueva

Estimation @ 50 ab-1

  • BR(𝜐→𝜃𝜌𝜉) ~ 10-5

In the mass window of 𝜃:

  • Nbkg ≃ 4.9x106

Nsig = ✏ · ττ · BR(⌧ → `⌫¯ ⌫) · L · BR(⌧ → ⌘⇡⌫) In the mass window of 𝜃:

  • Nbkg ≃ 6.06x105

3-prong 1-prong

Nsig p Nbkg ' 5.56 Nsig p Nbkg ' 3.65

slide-26
SLIDE 26

)

  • 1

Luminosity (ab

1 −

10 × 2 1 2 3 4 5 6 7 8 10 20

5

10 × ) ν π η → τ Upper Limit of BR(

1 2 3 4 5 6 7 8 9 10 11 12 13

26 Michel H. Villanueva

Estimated Upper Limits

3-prong

BaBar
 Belle
 3 channels model
 Other SM models

slide-27
SLIDE 27

)

  • 1

Luminosity (ab

1 −

10 × 2 1 2 3 4 5 6 78 10 20

5

10 × ) ν π η → τ Upper Limit of BR( 1 2 3 4 5 6 7 8

27 Michel H. Villanueva

Estimated Upper Limits

1-prong

BaBar
 Belle
 3 channels model
 Other SM models

slide-28
SLIDE 28

28

  • SuperKEKB will produce a sample of 𝜐 pairs 50 times larger than

previous B-factories. 𝜐 physics is now considered “precision physics”.

  • BR measurement (or upper limit), invariant mass of 𝜃𝜌, and Dalitz

plots will be very important to disentangle models.

  • Better selection of variables or more MVA techniques have to be

tested.

  • Some extra contributions to the background has to be studied.
  • The comparison of channels generated, with the data obtained in

the beginning of the experiment, is important to control the bkg.

Michel H. Villanueva

Summary

slide-29
SLIDE 29

29

Thank you

Michel H. Villanueva

slide-30
SLIDE 30

30

Backup

Michel H. Villanueva

slide-31
SLIDE 31
  • The 𝜐 lepton is the only lepton massive

enough to decay into hadrons.

  • Semileptonic decay channels 


𝜐 → H 𝜉𝜐 allow a clean theoretical analysis of the hadronization, determination of SM parameters and properties of weak currents1: 𝛽s CKM parameters CPV LNV and LFV SM and NP interactions etc.

  • B-factories provide a large dataset of 𝜐

leptons to precision studies.

31 Michel H. Villanueva

Semileptonic decays of 𝜐 lepton

τ ντ

Hadronization

h1 h2 h3 W q q > 200 hadronic channels

1Pich, A. Progress in Particle and Nuclear Physics, 75, 41-85 (2014).

Disadvantage: We cannot detect 𝜉

slide-32
SLIDE 32
  • V-A currents can be classified by their

transformation proprieties under G-parity 1.

  • First-class currents:
  • Second-class currents (SCC):

JP G = 0+−, 0−+, 1++, 1−−, ... JP G = 0++, 0−−, 1−+, 1+−, ...

32

GVµG−1 = +Vµ GA0

µG1 = +A0 µ

GAµG−1 = −Aµ GSG−1 = −S

Hadronic Currents

Michel H. Villanueva

Standard Model New physics

  • 1S. Weinberg. Physical Review, 112(4), 1375 (1958).

G = CeiπI2

slide-33
SLIDE 33
  • SCC are isospin violating processes, suppressed by isospin

symmetry.

  • Unsuccessful searches of SCC in nuclear Physics.

33

/ G ∼ / SU(2) ∼ md − mu Λ

Second-class currents

1Leroy, C., & Pestieau, J. (1978). Physics Letters B, 72(3), 398-399.

  • Another possibility:


Search in tau decays1

G|πi = |πi G|ηi = +|ηi

τ − → ηπ−ντ

Michel H. Villanueva

G| ¯ dγµui = +| ¯ dγµui

slide-34
SLIDE 34
  • G-parity is defined by1
  • Is a good symmetry of the strong interactions

Convenient to analyze process where the initial or final state contains only mesons

  • However, G-Parity is not exact.

G = CeiπI2

34

[Hstr, Ii] = 0; [Htot, Ii] 6= 0;

G-parity

Michel H. Villanueva

[Hstr, C] = 0

  • 1T. D. Lee, and Chen Ning Yang. Il Nuovo Cimento 3.4 (1956): 749-753.
slide-35
SLIDE 35
  • NP contributions (scalar and tensorial currents) can be studied in the

framework of an effective field theory 1

35 Michel H. Villanueva

The 𝜐→𝜃𝜌𝜉 decay

1 E. A. Garcés, MHV, G. López Castro, P. Roig; arXiv:1708.07802

  • New Physics effects can appear in the

distribution of Dalitz plots, with a large enhancement expected towards large values of the hadronic invariant mass1.

Ratio between the squared amplitude of EFT
 with 𝜗T = 0.3 and squared amplitude of SM.

slide-36
SLIDE 36

36

  • .
  • BR ~ 10-5 !


(Not suppressed by G-parity, unlike the 
 channel without photon.)


  • Veto of photons with Eγ > 100 MeV should get rid of this background.

τ − → ηπ−ντγ

  • 1A. Guevara, G. López-Castro, P. Roig (2016). Phys.Rev. D95 no.5, 054015 (2017)

Michel H. Villanueva

A new bkg source1

slide-37
SLIDE 37

Michel H. Villanueva

B-Factories

PEP-II KEKB SuperKEKB Detector BaBar Belle Belle II Año de inicio 1999 1999 2016 Fin de

  • peraciones

2008 2010

  • Energía del haz

(GeV) e-: 9.0 e+: 3.1 e-: 8.0 e+: 3.5 e-: 7.0 e+: 4.0 Luminosidad max 550 fb-1 1 ab-1 50 ab-1

slide-38
SLIDE 38
slide-39
SLIDE 39
  • Hadronic matrix element: 2 form factors
  • Invariant mass distribution

39 Michel H. Villanueva

slide-40
SLIDE 40
  • Form factors
  • MDM: Meson dominance models.
  • Sum of Breit-Wigner formulae
  • Chiral theory, etc.

40 Michel H. Villanueva

slide-41
SLIDE 41
  • For tau physics study, roughly TinyDST (tdst) is designed1.
  • Events having:

Less than 6 charged tracks with |dr|<0.5 cm, |dz|<3.0 cm, 
 pt>0.1 GeV/c and -0.8660<cos 𝜄<0.9535. Less than 10 photons with E𝛿>50 MeV and -0.8660<cos 𝜄<0.9535.

  • Thrust vector information contained.
  • To squeeze the size, one lepton is required.

In SM precise measurement, to avoid qq BG, usually, leptonic decay is required for tag tau (tau with non-signal decay ).

  • 50MBytes for 200k events. (In original mdst, 50MBytes for 20k events.)

Michel H. Villanueva

TinyDST

slide-42
SLIDE 42

42 Michel H. Villanueva

Boosted Decision Trees

  • What is a Decision Tree?

  • Consecutive set of questions 


(nodes).


  • Two possible answers per 


node.


  • Final verdict (leaf) is reached 


after a defined maximum of 
 nodes.

  • Advantages

  • Easy to understand.

  • Fast training.
  • Disadvantages

  • Single tree not strong (that’s 


why we use Random 
 Forests).

slide-43
SLIDE 43

43 Michel H. Villanueva

Boosted Decision Trees

  • Random Forest is an

ensemble method that combines different trees.

  • Final output is determined by

the majority vote of all the trees.

  • Boosting:

  • Misclassified events are

weighted higher so that future learners concentrate

  • n these.

The score of an event is a weighted average

  • f the scores the event receives from each

tree in the forest.

bdt = P

i wiNi

P

i wi

; Ni = -1 or 1

slide-44
SLIDE 44

Michel H. Villanueva

BDT tests

Signal efficiency

0.65 0.7 0.75 0.8 0.85 0.9 0.95 1

Background rejection

0.3 0.4 0.5 0.6 0.7 0.8 0.9

MVA Method: BDT BDTMitFisher BDTG BDTD BDTB

Background rejection versus Signal efficiency