% # $
* +
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-
-
*
3
4 * 3(
& )DC
*>&3( !" .
3( *
& & *>
& &
* 3(&& &
3 "
*> & GGGJ
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&!S"" 0T$*
7
3(
& &
+, -/
!S" *> *
; & +!/
+!)/ +"/
GGGC GGGD
& ) DC
GGGH +, -/
&
RGGGC+D/
RGGGH
.I 7
&&
, - , -
&
&
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4
T4
4&
&
&
3( & &
Æ 3( 5
& Æ
3 4
& &
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GGGH
Q!)Q7L &
* 7 &*
!)
y int = 0.003 / y int = 0.004
y int = 0.005 / y int = 0.004
|Cosχ BZ |
Ratio at PL
y int = 0.003 / y int = 0.004
y int = 0.005 / y int = 0.004
|Cosχ BZ |
Ratio at HL
y int = 0.003 / y int = 0.004
y int = 0.005 / y int = 0.004
Cosφ KSW
Ratio at PL
y int = 0.003 / y int = 0.004
y int = 0.005 / y int = 0.004
Cosφ KSW
Ratio at HL
y int = 0.003 / y int = 0.004
y int = 0.005 / y int = 0.004
|Cosθ NR |
Ratio at PL
y int = 0.003 / y int = 0.004
y int = 0.005 / y int = 0.004
|Cosθ NR |
Ratio at HL
y int = 0.003 / y int = 0.004
y int = 0.005 / y int = 0.004
Cosα 34
Ratio at PL
y int = 0.003 / y int = 0.004
y int = 0.005 / y int = 0.004
Cosα 34
Ratio at HL
0.9 0.95 1 1.05 1.1
0 0.2 0.4 0.6 0.8 1 0.9
0.95 1 1.05 1.1
0 0.2 0.4 0.6 0.8 1
0.9 0.95 1 1.05 1.1
-1 -0.5 0 0.5 1 0.9
0.95 1 1.05 1.1
-1 -0.5 0 0.5 1
0.9 0.95 1 1.05 1.1
0 0.2 0.4 0.6 0.8 1 0.9
0.95 1 1.05 1.1
0 0.2 0.4 0.6 0.8 1
0.9 0.95 1 1.05 1.1
-1 -0.5 0 0.5 1 0.9
0.95 1 1.05 1.1
-1 -0.5 0 0.5 1
. I; .
7888= 888:
7888?
.I@ &!S"" 0*
T$ &
& 4 & & &
&+&/ +/ *
& ,- 3 ( "
*> &3(
L & & 3(
&&
& & & *
| 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
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
-1 -0.5 0 0.5 1
. I@; / &
)D*<%*(.E<F
&
4 7 + 4
5 /
3 *
4 ) @D !S" " 0T$ *
&
> Y
)7&7 &*
!S"" 0T$7
. IC & & 3(
|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
-1 -0.5 0 0.5 1
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 0.95 1 1.05 1.1 1.15 1.2
-1 -0.5 0 0.5 1
. IC; / C #
$ # & )D*<%*(.E<F
@*HP &
. G*@GP
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5 Æ
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4 & ; *
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4 && *
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& ; " L L " L
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##
L
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# & LL # L
##
L
#
L # L
#
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& LL # L
##
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# @GP
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
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
.IH; / C$ $JKJK
&!"
T + / &
7 &
&
& &
uu _ uu _ channel bb _ bb _ channel
Cosα 34 N/ ∆ bin N 4 at PL
uu _ uu _ channel bb _ bb _ channel
Cos α 34 N/ ∆ bin N 4 at HL
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
-1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
-1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1
.ID; / C$
$JKJK
&!"
X 4
& & 7 12 "
& & &
)E@C & & 3(
3& , "
3 (
* 4 5*
& L
uu _ gg channel bb _ gg channel
Cosα 34 N/ ∆ bin N 4 at PL
uu _ gg channel bb _ gg channel
Cos α 34 N/ ∆ bin N 4 at HL
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
-1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
-1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1
.IE; / C$
$JKJK
&!" &
& & *>
3 3 ( !((
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UHCV " &
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12
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R@FCGH+ /GDG+ /
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4 '(# &
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*> ( E + 3/
|Cosχ BZ |
NLO/LO prediction
Cosφ KSW
NLO/LO prediction
| Cos θ NR |
NLO/LO prediction
Cos α 34
NLO/LO prediction
0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8
0 0.2 0.4 0.6 0.8 1 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8
-1 -0.5 0 0.5 1
0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8
0 0.2 0.4 0.6 0.8 1 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8
-1 -0.5 0 0.5 1
. ; + #45 5 # &'
2 & &
& 7 4* &
& 3 & 4 0 UDF V Y
&&
. 4 .( +
/& 12&
" & 4*
7 &&
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NLO/LO prediction
0.2 0.3 0.4 0.5 0.6 0.7 0.8
-6.5 -6 -5.5 -5 -4.5 -4
.@; + #45 5 # &'
& 4 ! )
&
& & .
4 7 &&
& )
4 .4 &
3
&&
3
4
&&
4
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# !" ! 2)E*
&& UEG V 0 +
/ +
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&
2)
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4 7 2) +
/# !"*
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4 7
+
3
/ GGGC IG D$B @HG $B
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 ) = 0.1168 ± 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
. C; 3()*<(5
2 &# !" 2) +
/ &
& E &*
& & 2)
lg ( x m )
0 20 40
-3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5
0.11 0.12 0.13 0.14 0.15
1-T
EEC C
JCEF
O
r D
DELPHI
D 2 Geneva
D 2 Jade D 2 Durham
F
F
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2) GI GGGC
+
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U@V " .7 3 $*3 ! bB ( " !
:# : 0& +.& FI@/
UCV $ <" 1!4 +FI/ IC
UHV !T " ! +FEH/ C@W !0 +FEH/ DGJW! 0
# +FEE/ DE
UDV !" (&! 4#% +@GGG/ W
# !" (& ! 4#%% +@GG/ @CW
C (& !40( +@GG/ @@DW
2!(&!4#%% +@GG/ CJ
UEV !(& ! T$ )#"
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UIV :( (# ) 0 1 ! ), +FJI/CJC
UJV 0K T: ) 0 T&& !* ! (&
3 ! ! 1 ! (; J +FFE/ (*
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UGV )>% ( !( (+FFH/ IHW
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UV $ 3 0 T&& $ && $ K 3" )
)( !(",+FF@/ HED
U@V # 3 ( $ 3 $ B7 1!
4, +FJG/ H@F
UCV $ $ )%& M ! 0 +FJC/ CIW
1!4"# +FJE/ @F
UHV # $B7 ! 4(+FIF/ @GIW
3 ( $ 3 ! 4(+FJD/ CW
$ 3 $B7 1!4( +FJG/ CCD
UDV 0K # 0 1!4,( +FJ/ H@
UEV )( 3" ) 1!4#( +FFI/ @F
UIV 0 K . K $ ) ( ! ( # +@GG/
@@C
UJV !" 1!0 0 +FJH/ W
""& $ K!0 +FJD/ ID
UFV $ . ! 0 +FFD/ CFGH
U@GV (!T( 0 )7! +FFI/ H@EJ
U@V !" (&M!," +FFI/
U@@V . ( M. !0 ,(+FFI/ HCCD
U@CV )( !4"% +FF/ IF
1:)M! +FF@/ E@F
U@HV M1M66 ! 0% +FFF/ HG@GW
1!!) ,# +FFF/HH
U@DV :K ! 4 +FJ@/EEW
(" # T: ) 0 T&& 1 ! 4" +FJD/ HCW
)( < !4 +FJJ/ CCD
U@EV $ # 3 )!4" +FFD/ EI
U@IV !" (&!4, +FF/ HIFW %+FFC/ @
U@FV 3 !3M !40( +FJJ/ CGEW
3 M!# +FJF/ ID
UCGV :$ K%$ )7 :T1!4(CED +FJ/
UCV 2 1 0 M! "+FJ@/ HD
UC@V )0 !3 M M!#%+FF/ DF
UCCV ) 3 !
( ! +FFG/ CJI
UCHV # 0 ( 01* !XJC*@F +FJC/W
# 0 @ ( 01* !XJH*G +FJH/
UCDV !" (&1 3 &%# +FFG/ @
UCEV !" (&1 3&"0 +FFD/ HJ
UCIV !" (&!0 %#+FFJ/
UCJV S#7 T : !" 0 FFG
UCFV ( ! !0 , +FJC/ GD
UHGV 0 ( 01 ##X XJH* +FJI/
UHV M66 FFF
UH@V !" (&M !, +FFI/ HGF
UHCV * XGGGE@DF +@GGG/
UHHV $ # !" " ))FI*GGF +FFI/
UHDV ) ( $ 0 T&& ! 4" +FF/ HEW
1!4#0, +FFC/ C
)(!4,+FJF/ DCFW1!4, +FJF/
C@CW 1!4 +FF/ JCW
)( 0T&& $ 31!4#% +FF/ ECDW
) ($ 0T&&! 4, +FF/ CEJW !
4% +FF@/ @EF
UHEV ) #4!0 ,( +FFI/J
UHJV ) * XFIGD@J +FFI/
UHFV ) * XFIGE@JD +FFI/
UDGV M1M66 ! 0 ,%+FFI/ CEGH
UDV T1$ * XFJGDHJ +FFJ/
UD@V M1M66 1!+! ) /"# +FFJ/ EC
UDCV M1M66 ! 0, +FFJ/ DIFC
UDHV !"(& !" @GGG*GHH(21.@GGG*G@I
UDDV 2! (& !:0 +@GG/ EG
UDEV ?. # !" @GG*GEG (&! !) " ! @GG +*
/ !G +0/
UDIV $ #1!+!) /" +FFJ/ HC
UDJV
UDFV :( 6 K *4XFDG@CJC +FFD/
UEGV # !" (& !:# +@GGG/ DDI
UEV :# 2!(& !:, +@GGG/ F
UE@V !1 !4( +FFE/ DI