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Recent Hadronic Cross Section Measurements from B A B A R Konrad - - PowerPoint PPT Presentation

Recent Hadronic Cross Section Measurements from B A B A R Konrad Griessinger on behalf of the B A B A R Collaboration Institute for Nuclear Physics Mainz University International Workshop on e + e Collisions from Phi to Psi, June 2017 +


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SLIDE 1

Recent Hadronic Cross Section Measurements from BABA

R

Konrad Griessinger

  • n behalf of the BABA

R Collaboration

Institute for Nuclear Physics Mainz University

International Workshop on e+e− Collisions from Phi to Psi, June 2017

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 1 / 20

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SLIDE 2

Outline

1

Introduction

2

Cross section e+e− → π+π−π0π0

3

Cross section e+e− → π+π−η

4

Cross sections e+e− → KSKLπ0, KSKLπ0π0, KSKLη

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 2 / 20

slide-3
SLIDE 3

Introduction

The contributions to aµ and its uncertainty

  • µ

= g e 2m s (gµ − 2)/2 =: aSM

µ

= aQED

µ

+ aweak

µ

+ ahadronic

µ

Interaction Contribution [·10−11] Uncertainty [·10−11] QED [1] 116 584 718.951 0.080 EW [9] 153.6 1 hadronic VP [6, 12] 6837 43 hadronic LbL [11, 2] 119 41 total theory 116 591 828 60 E821 experiment [15] 116 592 089 63 deviation exp-theo 261 87

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 3 / 20

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SLIDE 4

Introduction

Discrepancy between SM prediction and direct measurement from Eur.Phys.J., C71:1515, 2011 [6].

  • 700
  • 600
  • 500
  • 400
  • 300
  • 200
  • 100

aµ – aµ

exp

× 10–11

BNL-E821 2004

HMNT 07 (e+e–-based) JN 09 (e+e–) Davier et al. 09/1 (τ-based) Davier et al. 09/1 (e+e–) Davier et al. 09/2 (e+e– w/ BABAR) HLMNT 10 (e+e– w/ BABAR) DHMZ 10 (τ newest) DHMZ 10 (e+e– newest) BNL-E821 (world average)

–285 ± 51 –299 ± 65 –157 ± 52 –312 ± 51 –255 ± 49 –259 ± 48 –195 ± 54 –287 ± 49 0 ± 63

Just a fluctuation? 3σ effect, thus reduction of uncertainties necessary!

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 4 / 20

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SLIDE 5

Introduction

Connection between aµ and σhad

ahad

µ

≈ 1 4π3 ∞

m2

π

Kµ(s) · σe+e−→had(s)ds Kernel function cross section

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 5 / 20

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SLIDE 6

Introduction

Connection between aµ and σhad

ahad

µ

≈ 1 4π3 ∞

m2

π

Kµ(s) · σe+e−→had(s)ds

2E, GeV 0.5 1 1.5 2 2.5 3 3.5 4 4.5 cross sections, nb

2 −

10

1 −

10 1 10

2

10

3

10

γ
  • π
+ π π
  • π
+ π π π
  • π
+ π
  • π
+ π
  • π
+ π π
  • π
+ π
  • π
+ π π 2
  • π
2 + π 2
  • π
3 + π 3 γ
  • K
+ K
  • K
+ K
  • K
+ K π
  • K
+ K π π
  • K
+ K
  • π
+ π
  • K
+ K π
  • π
+ π
  • K
+ K
  • π
+ π
  • π
+ π
  • K
+ K L K S K
  • π
+ π L K S K
  • +
π +- K S K η ± π ± K S K π ± π ± K S K
  • K
+ K S K S K
  • π
+ π S K S K ) φ (not
  • K
+ K η
  • π
+ π
  • K
+ K η
  • π
+ π η
  • π
+ π
  • π
+ π η ppbar

preliminary

Courtesy of F. Ignatov

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 5 / 20

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SLIDE 7

Introduction

The BABA

R Experiment

Experimental specifications Energy: √s ≈ 10.58 GeV (Ee− ≈ 9.0 GeV, Ee+ ≈ 3.1 GeV), Luminosity: L ≈ 500 fb−1 (Υ(4S))

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 6 / 20

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SLIDE 8

Introduction

The BABA

R Experiment

Experimental specifications Energy: √s ≈ 10.58 GeV (Ee− ≈ 9.0 GeV, Ee+ ≈ 3.1 GeV), Luminosity: L ≈ 500 fb−1 (Υ(4S))

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 6 / 20

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SLIDE 9

Introduction

Initial State Radiation (ISR) events at BABA

R

ISR selection Detected high energy photon: Eγ > 3GeV → defines ECM & provides strong background rejection Event topology: γISR back-to-back to hadrons → high acceptance Kinematic fit including γISR → very good energy resolution (4 – 15MeV) Continuous measurement from threshold to ∼5GeV → provides common, consistent systematic uncertainties

hadrons γISR e−(9GeV) e+(3GeV) √ s′ = ECM γ

hadrons

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 7 / 20

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SLIDE 10

Cross section e+e− → π+π−π0π0

e+e− → π+π−π0π0

PRELIMINARY

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 8 / 20

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SLIDE 11

Cross section e+e− → π+π−π0π0

Resulting cross section

e+e− → π+π−π0π0

M4π(GeV/c2) σ(nb)

5 10 15 20 25 30 35 0.5 1 1.5 2 2.5 3 3.5 4 4.5

P R E L I M I N A R Y

ECM(GeV)

  • Syst. unc.

1.2 – 2.7 3.1% 2.7 – 3.2 6.7% > 3.2 7.1%

dominant ISR-bkg π+π−3π0 removed using data most precise measurement to date widest energy range 0.85 < ECM < 4.5 GeV

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 9 / 20

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SLIDE 12

Cross section e+e− → π+π−π0π0

Resulting cross section

e+e− → π+π−π0π0

M4π(GeV/c2) σ(nb)

5 10 15 20 25 30 35 0.5 1 1.5 2 2.5 3 3.5 4 4.5

P R E L I M I N A R Y

ECM(GeV)

  • Syst. unc.

1.2 – 2.7 3.1% 2.7 – 3.2 6.7% > 3.2 7.1%

1 2 3 4 5 6 7 8 0.84 0.86 0.88 0.9 0.92 0.94 0.96 0.98 1 1.02 1.04

M4π(GeV/c2) σ(0)(nb) M4π(GeV/c2) σ(0)(nb)

P R E L I M I N A R Y Comparison to Chiral Pert. Theo.

(Eur.Phys.J., C24:535–545, 2002 [8])

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 9 / 20

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SLIDE 13

Cross section e+e− → π+π−π0π0

Contribution of π+π−2π0 to gµ − 2

5 10 15 20 25 30 35 40 45 50 1 1.5 2 2.5 3 3.5 4 4.5 SND ADONE γγ2 ACO DCI-M3N ND ADONE MEA OLYA

ECM (GeV) σ(e+e- → π+π-2π0) (nb)

ahad

µ

= 1 4π3 ∞

m2

π0

  • 1 − 4m2

e

s

1 + 2m2

e

s

Kµ(s)σ(s)ds

Before BABA

R (Eur.Phys.J.,C31:503,2003) [5]

aµ(1.02 < √s < 1.8 GeV) = (16.76 ± 1.31 ± 0.20rad) × 10−10

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 10 / 20

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SLIDE 14

Cross section e+e− → π+π−π0π0

Contribution of π+π−2π0 to gµ − 2

5 10 15 20 25 30 35 40 45 50 1 1.5 2 2.5 3 3.5 4 4.5 SND ADONE γγ2 ACO DCI-M3N ND ADONE MEA OLYA BaBar

ECM (GeV) σ(e+e- → π+π-2π0) (nb)

PRELIMINARY

ahad

µ

= 1 4π3 ∞

m2

π0

  • 1 − 4m2

e

s

1 + 2m2

e

s

Kµ(s)σ(s)ds

Before BABA

R (Eur.Phys.J.,C31:503,2003) [5]

aµ(1.02 < √s < 1.8 GeV) = (16.76 ± 1.31 ± 0.20rad) × 10−10 New result in the same energy range aµ(1.02 < √s < 1.8 GeV) = (17.4 ± 0.1stat ± 0.6syst) × 10−10

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 10 / 20

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SLIDE 15

Cross section e+e− → π+π−π0π0

Contribution of π+π−2π0 to gµ − 2

5 10 15 20 25 30 35 40 45 50 1 1.5 2 2.5 3 3.5 4 4.5 SND ADONE γγ2 ACO DCI-M3N ND ADONE MEA OLYA BaBar

ECM (GeV) σ(e+e- → π+π-2π0) (nb)

PRELIMINARY

ahad

µ

= 1 4π3 ∞

m2

π0

  • 1 − 4m2

e

s

1 + 2m2

e

s

Kµ(s)σ(s)ds

New result starting at lower limit aµ(0.85 < √s < 1.8 GeV) = (17.9 ± 0.1stat ± 0.6syst) × 10−10 New result in a wider energy range aµ(0.85 < √s < 3.0 GeV) = (21.8 ± 0.1stat ± 0.7syst) × 10−10

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 11 / 20

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SLIDE 16

Cross section e+e− → π+π−η

e+e− → π+π−η

PRELIMINARY

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 12 / 20

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SLIDE 17

Cross section e+e− → π+π−η

Cross section e+e− → π+π−η

P R E L I M I N A R Y PRELIMINARY Most accurate σ(e+e− → π+π−η) measurement to date First measurement up to 3.5 GeV Especially above 1.6 GeV more precise than previous data

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 13 / 20

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SLIDE 18

Cross section e+e− → π+π−η

Fits to the cross section e+e− → π+π−η

P R E L I M I N A R Y P R E L I M I N A R Y Model 1: ρ(770) − ρ(1450), fit: ECM < 1.7 GeV Model 2: ρ(770) − ρ(1450) − ρ(1700), fit: ECM < 1.9 GeV Model 3: ρ(770) − ρ(1450) + ρ(1700), fit: ECM < 1.9 GeV Model 4: ρ(770) − ρ(1450) + ρ(1700) + ρ(2150), fit: ECM < 2.2 GeV “+”: relative phase 0◦, “-”: relative phase 180◦

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 14 / 20

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SLIDE 19

Cross section e+e− → π+π−η

Contribution of π+π−η to gµ − 2

ahad

µ

= 1 4π3 ∞

m2

π0

  • 1 − 4m2

e

s

1 + 2m2

e

s

Kµ(s)σ(s)ds

P R E L I M I N A R Y HLMNT 2011 [10] aµ(√s < 1.8 GeV) = (0.88 ± 0.10) × 10−10 DHMZ 2011 [6] aµ(√s < 1.8 GeV) = (1.15 ± 0.06stat ± 0.08syst) × 10−10

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 15 / 20

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SLIDE 20

Cross section e+e− → π+π−η

Contribution of π+π−η to gµ − 2

ahad

µ

= 1 4π3 ∞

m2

π0

  • 1 − 4m2

e

s

1 + 2m2

e

s

Kµ(s)σ(s)ds

P R E L I M I N A R Y HLMNT 2011 [10] aµ(√s < 1.8 GeV) = (0.88 ± 0.10) × 10−10 DHMZ 2011 [6] aµ(√s < 1.8 GeV) = (1.15 ± 0.06stat ± 0.08syst) × 10−10 New result aµ(√s < 1.8 GeV) = (1.19 ± 0.02stat ± 0.06syst) × 10−10

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 15 / 20

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SLIDE 21

Cross sections e+e− → KSKLπ0, KSKLπ0π0, KSKLη

e+e− → KSKLπ0, KSKLπ0π0, KSKLη e+e− → KSK ±π∓π0, KSK ±π∓η

PRD 95 (2017), 052001 PRD 95 (2017), 092005

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 16 / 20

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SLIDE 22

Cross sections e+e− → KSKLπ0, KSKLπ0π0, KSKLη

e+e− → KSKLπ0, KSKLπ0π0, KSKLη

1 2 3 1 2 3 4

Ec.m. (GeV) σ(KSKLπ0) (nb)

KSKLπ0 syst.: 10–30 %

0.1 0.2 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8

Ec.m., GeV σ(φπ0), nb

φπ0

0.2 0.4 0.6 1 2 3 4

Ec.m. (GeV) σ(KSKLπ0π0) (nb)

KSKLπ0π0 syst.: 25–60 %

0.5 1 1 2 3 4

Ec.m. (GeV) σ(KSKLη) (nb)

KSKLη syst.: 15–30 %

1 2 3 1.5 1.75 2 2.25 2.5

Ec.m. (GeV) σ(φη) (nb)

φη

Published in PRD 95 (2017), 052001

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 17 / 20

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SLIDE 23

Cross sections e+e− → KSKLπ0, KSKLπ0π0, KSKLη

e+e− → KSK ±π∓π0, KSK ±π∓η

1 2 3 1 1.5 2 2.5 3 3.5 4

Ec.m. (GeV) σ (nb)

KSK ±π∓π0 total unc.: 6–12 %

0.2 0.4 0.6 0.8 1.75 2 2.25 2.5 2.75 3 3.25 3.5 3.75 4

Ec.m. (GeV) σ (nb)

KSK ±π∓η total unc.: 13–19 %

Published in PRD 95 (2017), 092005

X

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 18 / 20

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SLIDE 24

Cross sections e+e− → KSKLπ0, KSKLπ0π0, KSKLη

Total e+e− → KKπ(π) cross sections

Courtesy of

  • V. Druzhinin [7]

X all KKπ(π) channels now measured by BABA

R

⇒ isospin relations not necessary any more new contributions to gµ − 2:

⋆ aµ(KKπ) = (2.45 ± 0.15) × 10−10 [4] ⋆ aµ(KKππ) = (0.85 ± 0.05) × 10−10

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 19 / 20

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SLIDE 25

Summary

Summary

ISR physics has proven to be a very productive field even years after the end of data taking at the B-factories Precision measurements of hadronic cross sections have greatly improved aSM

µ

& more hadronic final states in preparation New results from BABA

R:

⋆ e+e− → π+π−π0π0 ⋆ e+e− → π+π−η ⋆ first measurement of e+e− → KSKLπ0, KSKLπ0π0, KSKLη, KSK ±π∓π0, KSK ±π∓η

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 20 / 20

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SLIDE 26

Summary

Thank you! Any questions?

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 21 / 20

slide-27
SLIDE 27

Backup

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 22 / 20

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SLIDE 28

π+π−2π0γ Event Selection

Full Υ(4S) on peak data set of 454.4 fb−1

e+e− → π+π−π0π0γISR

χ2

Events

1000 2000 3000 4000 5000 10 20 30 40 50 60 70 80 90 100

+ data × signal simulation P R E L I M I N A R Y Main Selection Requirements exactly 2 charged tracks ≥ 5 photons E lab

γ

> 0.05 GeV |Mreco

π0

− MPDG

π0

| < 0.03 GeV EγISR > 3 GeV 6C kinematic fit: χ2

2π2π0γ < 30

reject other hypotheses Muon and Kaon PID

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 23 / 20

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SLIDE 29

Background subtraction

e+e− → π+π−π0π0γISR Simulated background channels:

1 10 10 2 10 3 0.5 1 1.5 2 2.5 3 3.5 4 4.5

M4π(GeV/c2) Events / 20 MeV/c2 M4π(GeV/c2) Events / 20 MeV/c2 M4π(GeV/c2) Events / 20 MeV/c2 M4π(GeV/c2) Events / 20 MeV/c2 M4π(GeV/c2) Events / 20 MeV/c2 M4π(GeV/c2) Events / 20 MeV/c2 M4π(GeV/c2) Events / 20 MeV/c2 M4π(GeV/c2) Events / 20 MeV/c2

PRELIMINARY

q¯ q, 3π, 4π2π0, KsKπ, K +K −2π0, ττ, π+π−3π0

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 24 / 20

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SLIDE 30

Background subtraction

e+e− → π+π−π0π0γISR Simulated background channels:

1 10 10 2 10 3 0.5 1 1.5 2 2.5 3 3.5 4 4.5

M4π(GeV/c2) Events / 20 MeV/c2 M4π(GeV/c2) Events / 20 MeV/c2 M4π(GeV/c2) Events / 20 MeV/c2 M4π(GeV/c2) Events / 20 MeV/c2 M4π(GeV/c2) Events / 20 MeV/c2 M4π(GeV/c2) Events / 20 MeV/c2 M4π(GeV/c2) Events / 20 MeV/c2 M4π(GeV/c2) Events / 20 MeV/c2

PRELIMINARY

q¯ q, 3π, 4π2π0, KsKπ, K +K −2π0, ττ, π+π−3π0

Main issue: background from e+e− → π+π−3π0 Only little data [3] and no full simulation available

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 24 / 20

slide-31
SLIDE 31

Background subtraction

e+e− → π+π−π0π0γISR Simulated background channels:

1 10 10 2 10 3 0.5 1 1.5 2 2.5 3 3.5 4 4.5

M4π(GeV/c2) Events / 20 MeV/c2 M4π(GeV/c2) Events / 20 MeV/c2 M4π(GeV/c2) Events / 20 MeV/c2 M4π(GeV/c2) Events / 20 MeV/c2 M4π(GeV/c2) Events / 20 MeV/c2 M4π(GeV/c2) Events / 20 MeV/c2 M4π(GeV/c2) Events / 20 MeV/c2 M4π(GeV/c2) Events / 20 MeV/c2

PRELIMINARY

q¯ q, 3π, 4π2π0, KsKπ, K +K −2π0, ττ, π+π−3π0

Main issue: background from e+e− → π+π−3π0

100 200 300 400 500 600 700 800 0.5 1 1.5 2 2.5 3 3.5 4 4.5

M5π(GeV/c2) Events / 40 MeV/c2

PRELIMINARY ⇒ dedicated BABA

R measurement

⇒ adjust simulation

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 24 / 20

slide-32
SLIDE 32

Background subtraction: cross check

Sideband bkg subtraction

1 10 10 2 10 3 0.5 1 1.5 2 2.5 3 3.5 4 4.5

M4π(GeV/c2) Events / 20 MeV/c2 M4π(GeV/c2) Events / 20 MeV/c2

PRELIMINARY N1s =

β β−α · N1 − 1 β−α · N2

α := N2s

N1s ,

β := N2b

N1b

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 25 / 20

slide-33
SLIDE 33

Background subtraction: cross check

Sideband bkg subtraction

1 10 10 2 10 3 0.5 1 1.5 2 2.5 3 3.5 4 4.5

M4π(GeV/c2) Events / 20 MeV/c2 M4π(GeV/c2) Events / 20 MeV/c2

PRELIMINARY N1s =

β β−α · N1 − 1 β−α · N2

α := N2s

N1s ,

β := N2b

N1b

Comparison of both methods

M4π(GeV/c2)

0.9 0.925 0.95 0.975 1 1.025 1.05 1.075 1.1 0.5 1 1.5 2 2.5 3 3.5 4 4.5

(nb)

PRELIMINARY

N(after sideband subtr.) N(after MCbkg subtr.)

Less than 1 % discrepancy in the peak region around 1.5 GeV/c2

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 25 / 20

slide-34
SLIDE 34

e+e− → KSKLπ0, KSKLη intermediate st.: K ∗(892) and φ

e+e− → KSKLπ0

200 400 600 1 2

m(KSπ0) (GeV/c2) Events/0.03 GeV/c2

200 400 600 1 2

m(KLπ0) (GeV/c2) Events/0.03 GeV/c2

20 40 1 1.025 1.05 1.075 1.1

m(KS KL) (GeV/c2) Events/0.004 GeV/c2

e+e− → KSKLη

50 100 150 1 2

m(KSπ0) (GeV/c2) Ev./0.03 GeV/c2

50 100 150 1 2

m(KLπ0) (GeV/c2) Ev./0.03 GeV/c2

20 40 60 80 1 1.025 1.05 1.075 1.1

m(KSKL), (GeV/c2) Events/0.004 GeV/c2

Published in PRD 95 (2017), 052001

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 26 / 20

slide-35
SLIDE 35

e+e− → KSKLπ0, KSKLη, KSKLπ0π0, int. st.: ψ and K ∗

20 40 60 80 2.5 3 3.5 4

m(KSKLπ0) (GeV/c2) Events/0.02 GeV/c2

10 20 30 2.5 3 3.5 4

m(KSKLη) (GeV/c2) Events/0.02 GeV/c2

10 20 2.5 3 3.5 4

m(KSKLπ0π0) (GeV/c2) Events/0.02 GeV/c2

20 40 2.5 3.1 3.7 m(K*(892)0K0) (GeV/c2) Events/0.02 GeV/c2 10 20 30 2.5 3.1 3.7 m(K2*(1420)0K0) (GeV/c2) Events/0.02 GeV/c2

Published in PRD 95 (2017), 052001

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 27 / 20

slide-36
SLIDE 36

e+e− → KSK ±π∓π0 intermediate states

0.5 1 1.5 2 2.5 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5 1 10 10 2

m(Kπ) (GeV/c2) m(KSπ0) (GeV/c2)

0.5 1 1.5 2 2.5 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5 1 10 10 2

m(KSπ) (GeV/c2) m(Kπ0) (GeV/c2)

0.2 0.4 0.6 0.8 1.5 1.75 2 2.25 2.5 2.75 3 3.25 3.5 3.75 4

Ec.m. (GeV) σ (nb)

  • e+e− → K ∗0 ¯

K ∗0 e+e− → K ∗0K ±π∓ △e+e− → K ∗0KSπ0

0.2 0.4 0.6 0.8 1.5 1.75 2 2.25 2.5 2.75 3 3.25 3.5 3.75 4

Ec.m. (GeV) σ (nb)

  • e+e− → K ∗(892)+K ∗(892)−

△e+e− → K ∗(892)±K ∓π0 e+e− → K ∗(892)±K 0

Sπ∓

Published in PRD 95 (2017), 092005

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 28 / 20

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SLIDE 37

e+e− → KSK ±π∓π0 intermediate states

200 400 600 0.5 1 1.5 2 2.5 3

m(KSπ0) (GeV/c2) Events/0.02 GeV/c2

100 200 300 0.5 1 1.5 2 2.5 3

m(K+-π-+) (GeV/c2) Events/0.02 GeV/c2

200 400 600 0.5 1 1.5 2 2.5 3

m(KSπ+-) (GeV/c2) Events/0.02 GeV/c2

200 400 0.5 1 1.5 2 2.5 3

m(K+-π0) (GeV/c2) Events/0.02 GeV/c2

Published in PRD 95 (2017), 092005

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 29 / 20

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SLIDE 38

e+e− → KSK ±π∓π0 intermediate states

50 100 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6

m(KSπ0) (GeV/c2) N(K*0→K+-π-+)/0.05 GeV/c2

100 200 300 0.4 0.6 0.8 1 1.2 1.4

m(π+-π0) (GeV/c2) Events/0.02 GeV/c2

50 100 150 200 0.75 1 1.25 1.5 1.75 2 2.25 2.5 2.75 3

m(K+-π0π-+) (GeV/c2) Events/0.02 GeV/c2

200 400 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6

m(K+-π0) (GeV/c2) N(K*-+→KSπ-+)/0.05 GeV/c2

0.25 0.5 0.75 1 1.75 2 2.25 2.5 2.75 3 3.25 3.5 3.75

Ec.m. (GeV) σ(KSKρ) (nb)

100 200 300 0.75 1 1.25 1.5 1.75 2 2.25 2.5 2.75 3

m(KSπ0π-+) (GeV/c2) Events/0.02 GeV/c2

Published in PRD 95 (2017), 092005

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 30 / 20

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SLIDE 39

e+e− → KSK ±π∓η intermediate states

20 40 60 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5

m(KSπ+-) (GeV/c2) Events/0.02 GeV/c2

10 20 0.6 0.8 1 1.2 1.4 1.6 1.8 2

m(K+π-) (GeV/c2) Events/0.02 GeV/c2

0.05 0.1 0.15 0.2 2 2.25 2.5 2.75 3 3.25 3.5 3.75 4

Ec.m. (GeV) σ(K*(892)+K-η) (nb)

0.02 0.04 0.06 2 2.25 2.5 2.75 3 3.25 3.5 3.75 4

Ec.m. (GeV) σ(K*(892)0K0η) (nb)

Published in PRD 95 (2017), 092005

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 31 / 20

slide-40
SLIDE 40

e+e− → KSK ±π∓π0/η intermediate states: J/ψ

25 50 75 100 2.8 3 3.2 3.4 3.6 3.8

m(KSK+-π-+π0) (GeV/c2) Events/0.005 GeV/c2

5 10 15 20 25 2.8 3 3.2 3.4 3.6 3.8

m(KSK+-π-+η) (GeV/c2) Events/0.010 GeV/c2

20 40 60 80 3 3.025 3.05 3.075 3.1 3.125 3.15 3.175 3.2

m(KSK+-π-+π0) (GeV/c2) N(K+-KSρ-+)/0.01 GeV/c2

Published in PRD 95 (2017), 092005

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 32 / 20

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SLIDE 41

e+e− → KSK ±π∓π0 intermediate states: K ∗

10 20 30 3 3.025 3.05 3.075 3.1 3.125 3.15 3.175 3.2

m(KSK+-π-+π0) (GeV/c2) N(K*0(892)KSπ0)/0.01 GeV/c2

K ∗0KSπ0

20 40 3 3.025 3.05 3.075 3.1 3.125 3.15 3.175 3.2

m(KSK+-π-+π0) (GeV/c2) N(K*0(892)K+π-)/0.01 GeV/c2

K ∗0K ±π∓

20 40 3 3.025 3.05 3.075 3.1 3.125 3.15 3.175 3.2

m(KSK+-π-+π0) (GeV/c2) N(K*(892)-K+π0)/0.01 GeV/c2

K ∗±K ∓π0

20 40 60 3 3.025 3.05 3.075 3.1 3.125 3.15 3.175 3.2

m(KSK+-π-+π0) (GeV/c2) N(K*(892)-KSπ+)/0.01 GeV/c2

K ∗±KSπ∓

Published in PRD 95 (2017), 092005

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 33 / 20

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SLIDE 42

References

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 34 / 20

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SLIDE 43

References I

[1]

  • T. Aoyama, M. Hayakawa, T. Kinoshita, and M. Nio.

Complete tenth-order qed contribution to the muon g − 2.

  • Phys. Rev. Lett., 109:111808, Sep 2012.

[2]

  • G. Colangelo, M. Hoferichter, A. Nyffeler, M. Passera, and P. Stoffer.

Remarks on higher-order hadronic corrections to the muon g − 2. Phys.Lett., B735:90–91, 2014. [3]

  • G. Cosme, B. Dudelzak, B. Grelaud, B. Jean-Marie, S. Jullian, et al.

Hadronic Cross-Sections Study in e+e− Collisions from 1.350GeV to 2.125GeV. Nucl.Phys., B152:215, 1979.

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 35 / 20

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SLIDE 44

References II

[4]

  • M. Davier.

Update of the hadronic vacuum polarization contribution to the muon g − 2. Nuclear and Particle Physics Proceedings, 287-288:70 – 75, 2017. The 14th International Workshop on Tau Lepton Physics. [5]

  • M. Davier, S. Eidelman, A. H¨
  • cker, and Z. Zhang.

Updated estimate of the muon magnetic moment using revised results from e+e− annihilation.

  • Eur. Phys. J., C31:503–510, 2003.

[6]

  • M. Davier, A. Hoecker, B. Malaescu, and Z. Zhang.

Reevaluation of the Hadronic Contributions to the Muon g − 2 and to α(MZ). Eur.Phys.J., C71:1515, 2011.

  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 36 / 20

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SLIDE 45

References III

[7]

  • V. P. Druzhinin.

Study of e+e− annihilation to hadrons at low energies at BaBar. EPJ Web Conf., 142:01013, 2017. [8]

  • G. Ecker and R. Unterdorfer.

Four-Pion Production in e+e− Annihilation.

  • Eur. Phys. J., C24:535–545, 2002.

[9]

  • C. Gnendiger, D. St¨
  • ckinger, and H. St¨
  • ckinger-Kim.

The electroweak contributions to (g − 2)µ after the Higgs boson mass measurement. Phys.Rev., D88(5):053005, 2013. [10] K. Hagiwara, R. Liao, A. D. Martin, D. Nomura, and T. Teubner. (g − 2)µ and α(M2

Z) re-evaluated using new precise data.

  • J. Phys., G38:085003, 2011.
  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 37 / 20

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SLIDE 46

References IV

[11] F. Jegerlehner and A. Nyffeler. The Muon g-2. Phys.Rept., 477:1–110, 2009. [12] A. Kurz, T. Liu, P. Marquard, and M. Steinhauser. Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order. Phys.Lett., B734:144–147, 2014. [13] J. P. Lees et al. Cross sections for the reactions e+e− → K 0

SK 0 Lπ0, K 0 SK 0 Lη, and

K 0

SK 0 Lπ0π0 from events with initial-state radiation.

  • Phys. Rev., D95(5):052001, 2017.
  • K. Griessinger (U Mainz)

π+π−π0π0 and π+π−η at BABA R June 2017 38 / 20

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SLIDE 47

References V

[14] J. P. Lees et al. Measurement of the e+e− → K 0

S K ±π∓π0 and K 0 S K ±π∓η cross

sections using initial-state radiation.

  • Phys. Rev., D95(9):092005, 2017.

[15] K. Olive et al. Review of Particle Physics. Chin.Phys., C38:090001, 2014.

  • K. Griessinger (U Mainz)

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