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Q 0 2 =4 GeV 2. Q 0 2 =4 GeV 2. ZEUS parametrization. H1 parametrization Nature of the parametrization forces the errors on the low-x valence distributions to be very small- better to compare U,D. Central values of the fits are very close- good news I - PowerPoint PPT Presentation
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Q02=4 GeV2 Q0
2=4 GeV2
ZEUS parametrization H1 parametrization
Nature of the parametrization forces the errors on the low-x valence distributions to be very small- better to compare U,D
Central values of the fits are very close- good news I
haven’t added the charm into the sea for H1, so it’s a bit low
Very similar χ2 ~ 500 for 584 points
ZEUS parametrisation
xf(x) = A xa (1-x)b (1+ c x)
For u,d valence, sea and glue
Au,Ad,Ag from sum rules, ad=au, cs=0
au=0.72 ± 0.04
bu=3.99 ± 0.13
cu=1.5 ±0.71
bd=5.18 ± 0.72
cd=2.54 ± 2.02
As=0.63 ± 0.02
as=-0.197 ± 0.004
bs=6.85 ± 0.71
ag= -0.128 ± 0.02
bg=11 ± 1
cg=-16 ± 5
H1 parametrisation
xf(x) = A xa (1-x)b (1+ c x) (no x3 term)
For U=u+c, D=d+s, Ubar, Dbar and glue AU,AD,Ag from sum-rules,
aU=aD=aUbar=aDbar,cUbar=cDbar=0
aU=-0.195±0.004
bU=3.5± 0.5
cU=31 ± 2
bD=4.5 ±
cD=34 ± 8
AUbar=AU,ADbar=AD
bUbar = 10.8 ± 0.5
bDbar = 2.7 ± 0.9
ag= -0.115 ± 0.03
bg= 11 ± 5
cg=12 ± 5
Gluon similar
Low-x
sea
simila
r
Max’s suggestion to free αS(MZ)
Back to ZEUS parametrisation
αS(MZ) =0.121 ± 0.003 χ2=500
Investigate scale dependence, renormalisation scale usually the biggest so start with that
Scale= 2 Q2 αS(MZ) =0.123 χ2=502
Scale= 4Q2 αS(MZ) =0.124 χ2=507
Scale= Q2/2 αS(MZ) =0.118 χ2=526
Scale= Q2/4 job blows up!
Scale dependence 0.002-0.003?
Not as bad as I thought!