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y int = 0.003 / y int = 0.004

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(1)

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y int = 0.003 / y int = 0.004

y int = 0.005 / y int = 0.004

|Cosχ BZ |

Ratio at PL

y int = 0.003 / y int = 0.004

y int = 0.005 / y int = 0.004

|Cosχ BZ |

Ratio at HL

y int = 0.003 / y int = 0.004

y int = 0.005 / y int = 0.004

Cosφ KSW

Ratio at PL

y int = 0.003 / y int = 0.004

y int = 0.005 / y int = 0.004

Cosφ KSW

Ratio at HL

y int = 0.003 / y int = 0.004

y int = 0.005 / y int = 0.004

|Cosθ NR |

Ratio at PL

y int = 0.003 / y int = 0.004

y int = 0.005 / y int = 0.004

|Cosθ NR |

Ratio at HL

y int = 0.003 / y int = 0.004

y int = 0.005 / y int = 0.004

Cosα 34

Ratio at PL

y int = 0.003 / y int = 0.004

y int = 0.005 / y int = 0.004

Cosα 34

Ratio at HL

0.9 0.95 1 1.05 1.1

0 0.2 0.4 0.6 0.8 1 0.9

0.95 1 1.05 1.1

0 0.2 0.4 0.6 0.8 1

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| Cos χ BZ |

N/bin N 4 after PS PYTHIA prediction

HERWIG prediction

Cos φ KSW N/bin N 4 after PS

| Cos θ NR |

N/bin N 4 after PS

Cos α 34 N/bin N 4 after PS

0 0.5 1 1.5 2 2.5 3

0 0.2 0.4 0.6 0.8 1 0

0.2 0.4 0.6 0.8 1 1.2 1.4

-1 -0.5 0 0.5 1

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8

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|Cosχ BZ |

Hadronization correction

PYTHIA prediction HERWIG prediction

Cosφ KSW

Hadronization correction

|Cosθ NR |

Hadronization correction

Cosα 34

Hadronization correction

0.9 0.925 0.95 0.975 1 1.025 1.05 1.075 1.1

0 0.2 0.4 0.6 0.8 1 0.9 0.925 0.95 0.975 1 1.025 1.05 1.075 1.1

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uu _ uu _ channel bb _ bb _ channel

|Cosχ BZ |

N/bin N 4 at PL

uu _ uu _ channel bb _ bb _ channel

|Cosχ BZ |

N/bin N 4 at HL 0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5

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uu _ uu _ channel bb _ bb _ channel

Cosα 34 N/bin N 4 at PL

uu _ uu _ channel bb _ bb _ channel

Cos α 34 N/bin N 4 at HL

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9

-1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9

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uu _ gg channel bb _ gg channel

Cosα 34 N/bin N 4 at PL

uu _ gg channel bb _ gg channel

Cos α 34 N/bin N 4 at HL

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9

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|Cosχ BZ |

NLO/LO prediction

Cosφ KSW

NLO/LO prediction

| Cos θ NR |

NLO/LO prediction

Cos α 34

NLO/LO prediction

0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8

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AEEC JCEF 1-Thr O C B Max B Sum ρ H ρ S ρ D D 2 E0 D 2 P0 D 2 P D 2 Jade D 2 Durham D 2 Geneva D 2 Cambridge

w. average : α S (M Z 2 ) = 0.1168 ± 0.0026 χ 2 /n df = 6.2 / 17 ρ eff = 0.635

DELPHI

x µ exp. opt.

0.06 0.08 0.1 0.12 0.14 0.16 0.18 α S (M Z 2 ) EEC

AEEC JCEF 1-Thr O C B Max B Sum ρ H ρ S ρ D D 2 E0 D 2 P0 D 2 P D 2 Jade D 2 Durham

D 2 Geneva D 2 Cambridge

w. average : α S (M Z 2 ) = 0.1232 ± 0.0116 χ 2 /n df = 71 / 17 ρ eff = 0.635 f err = 3.38

DELPHI

x µ = 1

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(17)

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