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The study of πœ“β€² β†’ 𝑒+π‘’βˆ’πœ’π‘0,1,2

Zhang Jielei Zhang Jingzhi

Outline

1、Motivation

2、Data sets

3、The study of πœ“β€² β†’ 𝑒+π‘’βˆ’πœ’π‘0,1,2

Event selection

Data and Background study

Data and MC distributions

4、Summary

2

3

Motivation

In theory, the transition process πœ“β€²(β€²) β†’ π›Ύπœ’π‘π½ is not consistent with experiment measurement very well.

Q. Zhao et al consider open charm effects, many channels can consistent with experiment measurement very well except for πœ“β€² β†’ π›Ύπœ’π‘2.

In the process πœ“β€² β†’ 𝑒+π‘’βˆ’πœ’π‘π½, 𝑒+π‘’βˆ’ from a virtual photon. To study the process can

provide more information for theory. Furthermore, we can get the distribution of form factor, from the distribution we can extract parameters as theoretical input.

Data sets

Boss Version : 6.6.4-p03

Data sets :

Signal MC :

πœ“β€² β†’ 𝑒+π‘’βˆ’πœ’π‘0,1,2(DIY), πœ’π‘0,1,2 β†’ 𝛾𝐽/πœ“, 𝐽/πœ“ β†’ 𝑒+π‘’βˆ’/πœ‡+πœ‡βˆ’

Inclusive MC (2009 and 2012 πœ“β€² MC)

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106 M πœ“β€² of year 2009341.5 M πœ“β€² of year 2012continuum background study : ~44pbβˆ’1 data @ 3650

Background MC :

1.πœ“β€² β†’ π›Ύπœ’π‘0,1,2, πœ’π‘0,1,2 β†’ 𝛾𝐽/πœ“, 𝐽/πœ“ β†’ 𝑒+π‘’βˆ’/πœ‡+πœ‡βˆ’

2.πœ“β€² β†’ πœ‚π½/πœ“, πœ‚ β†’ 𝛾𝛾, 𝐽/πœ“ β†’ 𝑒+π‘’βˆ’/πœ‡+πœ‡βˆ’

3.πœ“β€² β†’ πœ‚/πœ‹0𝐽/πœ“, πœ‚/πœ‹0 β†’ 𝛾𝑒+π‘’βˆ’, 𝐽/πœ“ β†’ 𝑒+π‘’βˆ’/πœ‡+πœ‡βˆ’

Event selections

Charged tracks- 𝑅π‘₯𝑦 < 1π‘π‘š, 𝑅𝑧 < 10π‘π‘š

- π‘π‘œπ‘ πœƒ < 0.93- 𝑁 = 4, 𝑄 = 0

Good photon- 0 ≀ 𝑇𝐷𝐢 ≀ 14- Barrel :𝐸 > 0.025 GeV, π‘π‘œπ‘ πœƒ < 0.8

- Endcap :𝐸 > 0.050 GeV, 0.86 < π‘π‘œπ‘ πœƒ < 0.92

- βˆ†πœƒ > 200

- 𝑁𝛾 β‰₯ 1

Particle separation- 𝑒 from πœ“β€² ∢ π‘ƒπ‘šπ‘‘π‘ < 1 GeV- 𝑒 from 𝐽/πœ“ ∢ π‘ƒπ‘šπ‘‘π‘ > 1 GeV&&πΈπ‘’π‘šπ‘ >1 GeV- πœ‡ from 𝐽/πœ“ ∢ π‘ƒπ‘šπ‘‘π‘ > 1 GeV&&πΈπ‘’π‘šπ‘ <0.4 GeV

4C kinematic fit- Choose the photon with least πœ’2

- πœ’4𝐢2 < 40

Other selections- 𝐽/πœ“ mass window : (3.08, 3.12) GeV- 0.16 < 𝑀 𝛾𝑒+π‘’βˆ’ < 0.50 GeV- 𝑅π‘₯𝑦 < 1.5||𝑅π‘₯𝑦 > 7.0 cm

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πœ’4𝐢2 of kinematic fit

πœ’2 distribution from 4C : πœ’4𝐢2 < 40

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𝐽/πœ“ invariant mass distributions7

𝐽/πœ“ mass window : 3.08 < 𝑀 𝑙+π‘™βˆ’ < 3.12 GeV

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Background study

The main background :

1.πœ“β€² β†’ π›Ύπœ’π‘0,1,2, πœ’π‘0,1,2 β†’ 𝛾𝐽/πœ“, 𝐽/πœ“ β†’ 𝑒+π‘’βˆ’/πœ‡+πœ‡βˆ’

2.πœ“β€² β†’ πœ‚π½/πœ“, πœ‚ β†’ 𝛾𝛾, 𝐽/πœ“ β†’ 𝑒+π‘’βˆ’/πœ‡+πœ‡βˆ’

3.πœ“β€² β†’ πœ‚/πœ‹0𝐽/πœ“, πœ‚/πœ‹0 β†’ 𝛾𝑒+π‘’βˆ’, 𝐽/πœ“ β†’ 𝑒+π‘’βˆ’/πœ‡+πœ‡βˆ’

𝛾 conversion

Same final state

𝑅π‘₯ VS 𝑅𝑦 distributions9

Background(π›Ύπœ’1)

Background(π›Ύπœ’2)

DATA(πœ’1)

DATA(πœ’2)

Some variables from GammaConv package.

MC(πœ’1)

MC(πœ’2)

𝛾 conversion MC

in πœ’π‘1 region

in πœ’π‘2 region

𝑅π‘₯𝑦 distributions10 Remove 𝛾 conversion background

𝑅π‘₯𝑦 < 1.5||𝑅π‘₯𝑦 > 7.0 cm

From 𝛾 conversion MC, there are no events in the region. These events have large angle between 𝑒+ and π‘’βˆ’. For signal MC, if the 𝑒+

and π‘’βˆ’ have large angle, the event will be reconstructed in the region.

𝛾 conversion events

𝑀(𝛾𝑒+π‘’βˆ’) distributions11

0.16 < 𝑀 𝛾𝑒+π‘’βˆ’ < 0.50 GeV

Remove πœ“β€² β†’ πœ‚/πœ‹0𝐽/πœ“, πœ‚/πœ‹0 β†’ 𝛾𝑒+π‘’βˆ’, 𝐽/πœ“ β†’ 𝑒+π‘’βˆ’/πœ‡+πœ‡βˆ’ process

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Background study

From inclusive MC, we find only one events survived.

From 44 pbβˆ’1 3650 data sample, only one event survived the event selections.

𝑀(𝛾𝐽/πœ“) distributions13

Clear πœ’π‘1 and πœ’π‘2 signal, and some πœ’π‘0 signal

πœ“β€² β†’ π›Ύπœ’π‘π½ , πœ’π‘π½ β†’ 𝑒+π‘’βˆ’π½/πœ“ process

𝑅𝑀(𝑒+π‘’βˆ’) distributions14

𝑒+π‘’βˆ’ recoiling invariant mass distribution 𝑅𝑀(𝑒+π‘’βˆ’)

(before 4C kinematic fit)

Clear πœ’π‘1 and πœ’π‘2 signal, and some πœ’π‘0 signal

πœƒπ‘’+π‘’βˆ’distributions15

The angular distribution between 𝑒+ and π‘’βˆ’ in πœ’π‘1

and πœ’π‘2 signal region

Momentum distributions16

𝑒+ and π‘’βˆ’ momentum distribution in πœ’π‘1 and πœ’π‘2

signal region

π‘π‘œπ‘ πœƒ distributions17

𝑒+ and π‘’βˆ’ π‘π‘œπ‘ πœƒ angular distribution in πœ’π‘1 and πœ’π‘2

signal region

Invariant mass distributions18

𝑀(𝑒+π‘’βˆ’), 𝑀(𝑒+πœ’π‘1,2) and 𝑀(π‘’βˆ’πœ’π‘1,2) distribution in πœ’π‘1

and πœ’π‘2 signal region

Helicity π‘π‘œπ‘ πœƒ distributions19

𝑒+ and π‘’βˆ’ helicity angular distribution in πœ’π‘1 and πœ’π‘2

signal region

Scatter plots20

πœƒπ‘’+π‘’βˆ’ VS 𝑅π‘₯𝑦, 𝑀(𝑒+π‘’βˆ’) VS 𝑅π‘₯𝑦 and πœƒπ‘’+π‘’βˆ’ VS 𝑀(𝑒+π‘’βˆ’)

distributions for data.

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Signal extraction from data

Signal : MC-determined shape to describe signal πœ’π‘0,1,2, the π‘πœ’π‘0,1,2 is float

Background : 1、1-st order polynomial, the π‘π‘π‘˜π‘”1 are float2γ€πœ“β€² β†’ π›Ύπœ’π‘0, πœ’π‘0 β†’ 𝑒+π‘’βˆ’π½/πœ“ process MC-determined shape, the π‘π‘π‘˜π‘”2 are float

π‘πœ’π‘0 = 62 Β± 10 π‘πœ’π‘1 = 884 Β± 30 π‘πœ’π‘2 = 229 Β± 16

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Summary

1、The process πœ“β€² β†’ 𝑒+π‘’βˆ’πœ’π‘0,1,2 is studied, there are clear πœ’π‘1 and πœ’π‘2signal and some πœ’π‘0 signal.

2、The most of events focus on the small angle between 𝑒+ and π‘’βˆ’, and there are some events focus on the large angle between 𝑒+ and π‘’βˆ’, these events can’t be understood.

3、The process πœ’π‘π½ β†’ 𝑒+π‘’βˆ’π½/πœ“ also be observed.

Next to do1、Further analysis of the background

2、Study generator to get more accurate efficiency for data and give branching fraction

3、Study the process πœ’π‘π½ β†’ 𝑒+π‘’βˆ’π½/πœ“ in detail

Thanks for your attention!

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BACK UP

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Some distributions for large angle between 𝑒+ and π‘’βˆ’

𝑀(𝛾𝐽/πœ“) πœ’2

𝑒+ track πœ’2 π‘’βˆ’ track πœ’2

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Efficiency curve

26 Some events for large angle between 𝑒+ and π‘’βˆ’

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Branching fraction

ℬ πœ“β€² β†’ 𝑒+π‘’βˆ’πœ’π‘0,1,2 =π‘πœ’π‘0,1,2

π‘π‘‘π‘œπ‘‘ βˆ™ ℬ(πœ’π‘0,1,2 β†’ 𝛾𝐽/πœ“) βˆ™ ℬ(𝐽/πœ“ β†’ 𝑙+π‘™βˆ’) βˆ™ πœ€0,1,2

ℬ πœ“β€² β†’ 𝑒+π‘’βˆ’πœ’π‘1 = (5.9 Β± 0.2) Γ— 10βˆ’4

ℬ πœ“β€² β†’ 𝑒+π‘’βˆ’πœ’π‘2 = (6.2 Β± 0.5) Γ— 10βˆ’4

1. πœ€0 = 11.7%

2. πœ€1 = 8.1%

3. πœ€2 = 3.5%

ℬ πœ“β€² β†’ 𝑒+π‘’βˆ’πœ’π‘0 = (6.7 Β± 1.3) Γ— 10βˆ’4

Need further studyPHSP MC

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