Download - STATUS & PROGRESS - NNPDF
PDF ISSUES
FOR HIGGS PHYSICS
STEFANO FORTE
UNIVERSITA DI MILANO & INFN
HIGGS WORKING GROUP BNL, MAY 5, 2011
SUMMARY
� PROGRESS
{ NLO STATUS
{ NLO PROGRESS
{ NNLO
� ISSUES
{ PDF UNCERTAINTIES
{ DATA CONSISTENCY
{ FIXEDTARGET DATA
{ �s
� OUTLOOK
{ PRACTICAL PRESCRIPTIONS
{ TOWARDS COLLIDERONLY FITS
STATUS & PROGRESS
CURRENT PDF SETS
�X(s;M
2X) =
Pa;b
R1
xmin
dx1 dx2 fa=h1(x1)fb=h2(x2)^�qaqb!X
�x1x2s;M
2X
�
data in global �ts
x-510 -410 -310 -210 -110 1
]2 [
GeV
2 T /
p2
/ M
2Q
1
10
210
310
410
510
610 NMC-pdNMCSLACBCDMSHERAI-AVCHORUSFLH108NTVDMNZEUS-H2ZEUSF2CH1F2CDYE605DYE886CDFWASYCDFZRAPD0ZRAPCDFR2KTD0R2CON
NNPDF2.1 dataset
LHC kinemati s
10-7
10-6
10-5
10-4
10-3
10-2
10-1
100
100
101
102
103
104
105
106
107
108
109
fixedtarget
HERA
x1,2
= (M/14 TeV) exp(±y)Q = M
LHC parton kinematics
M = 10 GeV
M = 100 GeV
M = 1 TeV
M = 10 TeV
66y = 40 224
Q2
(GeV
2 )
x
� CT10: GLOBAL, NLO, SEVERAL �s VALUES, VFN
� MSTW08: GLOBAL, NLO & NNLO, SEVERAL �s VALUES, VFN
� NNPDF2.1: GLOBAL, NLO, SEVERAL �s VALUES, VFN
� ALEKHIN ABKM: DIS+SOME DY, NLO & NNLO, SINGLE �s VALUE, FFN
� HERAPDF1.0: HERA DIS, NLO, SEVERAL �s VALS, VFN
� SETS BASED ON MODEL ASSUMPTIONS (GRV/GJR, STATISTICAL PDFS,...)
FEATURES, TRADEOFFS AND CHOICES
� DATASET: CTEQ, MSTW, NNPDF FIXED TARGET AND COLLIDER, eP AND �PP
DATA; ABKM, GJR GLOBAL DIS+ FIXETTARGET DY; HERAPDF: HERA DISONLY
� STATISTICAL TREATMENT: CTEQ, MSTW HESSIAN WITH DYNAMICAL
TOLERANCE; HERAPDF, STANDARD HESSIAN+PARM. ERROR ANALYSIS; GJR,HESSIAN WITH FIXED TOLERANCE; ABKM STANDARD HESSIAN; NNPDF MONTE
CARLO (ALSO STUDIED BY HERAPDF)
� PARTON PARAMETRIZATION: CTEQ, MSTW, HERAPDF x�(1� x)��
POLYNOMIALS; GJR: DITTO + VALENCELIKE ASSUMPTION; NNPDF NEURAL NETS;CHEBYSHEV POLYNOMIALS STUDIED BY HERAPDF;
� �s VALUE: CTEQ, NNPDF: EXTERNAL PARAMETER, SEVERAL VALUES AVAILABLE;MSTW: FITTED, BUT ALSO VARIABLE AS EXT.PARAMETER; ABKM, GJR: FITTED,NOT VARIABLE AS EXT. PARAMETER
� PERTURBATIVE ORDER: CTEQ: NLO, BUT DY LO WITH KFACTORS; MSTW:NNLO, BUT DY LO WITH KFACTORS; NNPDF FULL NLO, NNLO DIS; ABKM,HERAPDF, GJR: NNLO
� HEAVY QUARKS: CTEQ: GMVFN (SACOT� SCHEME); MSTW: GMVFN(ACOT+TR’ SCHEME); NNPDF: GMVFN (FONLL SCHEME); ABKM: FFN(Nf = 3; 4 MATCHED WITH BMSN SCHEME); GJR: FFN (Nf = 3)
STATUSLHC STANDARD CANDLES
W
+ W
�
TOP
Z
(G. Watt, 2011)
� FITS WITH WIDEST DATASET IN GOOD MUTUAL AGREEMENT
� CHOICE OF �s VALUE IMPORTANT
STATUSPARTON LUMINOSITIES
GLUONGLUON QUARKQUARK
(G. Watt, 2011)
QUARKGLUON
1/2 / S )S( -310 -210 -110
Q-Q
bar
Lum
i
0.8
0.85
0.9
0.95
1
1.05
1.1
1.15
1.2
LHC 7 TeV
NNPDF2.1NNPDF2.0
=0.119sαCT10 -
=0.119sαMSTW08 -
LHC 7 TeV
CHARMCHARM
1/2 / S )S( -310 -210 -110
C-C
bar
Lum
i
0.8
0.85
0.9
0.95
1
1.05
1.1
1.15
1.2
LHC 7 TeV
NNPDF2.1NNPDF2.0
=0.119sαCT10 -
=0.119sαMSTW08 -
LHC 7 TeV
(NNPDF, 2011)
PROGRESSSSINCE LAST WG MEETING
� NNPDF2.0 ! NNPDF2.1
{ INCLUSION OF HQ MASSES (FONLLA)
{ F
2
DATA INCLUDED
� CTEQ6.6 ! CT10
{ IMPROVED STATISTICS (SIMILAR TO DYNAMICAL TOLERANCE)
{ MORE FLEXIBLE dv, GLUON, STRANGENESS (BUT STILL s = �s)
{ COMBINED HERA DATA, RUN II JETS, W ASYM, Z RAPIDITY DISTN.
ANNOUNCED AND/OR PRESENTED IN PRELIMINARY FORM(BUT NOT YET ON LHAPDF)
� CTEQ: NNLO
� NNPDF: NNLO (& LO) (2.1); INCLUSION OF LHC W ASYM DATA (2.2)
� HERAPDF: NNLO (1.0); INCLUSION OF HERAII AND HERA JET DATA
(1.5)
� ABKM: INCLUSION OF JET DATA
PROGRESSPARTON LUMINOSITIES
GLUONGLUON
2010 2011
QUARKQUARK2010 2011
(G. Watt, 2011)
CONSIDERABLY IMPROVED AGREEMENT!
PROGRESSTHE HIGGS CROSS SECTION
mH = 120 GEV: 2010 mH = 120 GEV: 2011
(G. Watt)
[GeV]HM
100 150 200 250 300 350 400 450 500
R
0.85
0.9
0.95
1
1.05
1.1
1.15
LH
C H
IGG
S X
S W
G 2
010
LHC 7 TeV 68% C.L.sαPDF+
normalized to MSTW2008nlo
)Z
(msαdifferent values of uncertaintiessαexact PDF+
PDF4LHC recipe
NNPDF2.0
CTEQ6.6
MSTW08nlo
(Higgs WG)
(G. Watt)
� (SMALL) IMPROVEMENT, MOSTLY CTEQ AND @ LARGE MH
NNLO STATUSGLUONGLUON PARTON LUMINOSITY
MSTW NNLO/NLO
best �t �s
(G. Watt, 2011)
MSTW NNLO/NLO
�xed �s
(GeV) H M100 150 200 250 300 350 400 450 5000.9
0.95
1
1.05
1.1
1.15
1.2
PDF Uncertainty in Gluon-Gluon lumi - LHC 7 TeV - Ratio to MSTW08 NLO
=0.119S
αMSTW08 NNLO
=0.119S
αMSTW08 NLO
PDF Uncertainty in Gluon-Gluon lumi - LHC 7 TeV - Ratio to MSTW08 NLO
(J. Rojo, 2011)
LESS GLOBAL VS MSTW.
(G. Watt, 2011)
� NLO VS NNLO MSTW LUMINOSITIES QUITE CLOSE
. . . BUT PARTLY DUE TO LOWER NNLO �s (0.117 VS 0.120)
� DIFFERENCES AS DATASED VARIED MUCH LARGER
. . . BUT IN SOME CASE ALSO �s QUITE DIFFERENT (ABKM: 0.113)
NNLO PROGRESS
� CTEQ NNLO IN PREPARATION
� NNPDF NNLO PRESENTED IN PRELIM. FORM (DIS ONLY AT NNLO, FULL NNLOIN PREPARATION)
{ GLUON SIMILAR TO MSTW, BUT NO SMALL x INSTABILITY
{
GLUON PDF: NLO VS NNLONNPDF MSTW
NNLO PROGRESS
� CTEQ NNLO IN PREPARATION
� NNPDF NNLO PRESENTED IN PRELIM. FORM (DIS ONLY AT NNLO, FULL NNLOIN PREPARATION)
{ GLUON SIMILAR TO MSTW, BUT NO SMALL x INSTABILITY
{ LUMINOSITY & HIGGS XSECT QUITE CLOSE TO MSTW. . . PROVIDED SAME �s USED
GLUON LUMI & HIGGS XSECT: NNPDF VS MSTWGLUON LUMI
(GeV) H M100 150 200 250 300 350 400 450 5000.9
0.95
1
1.05
1.1
1.15
1.2
PDF Uncertainty in Gluon-Gluon lumi - LHC 7 TeV - Ratio to NNPDF2.1 NNLO
NNPDF2.1 NNLO (TMP)
=0.119sαMSTW08 NNLO-
PDF Uncertainty in Gluon-Gluon lumi - LHC 7 TeV - Ratio to NNPDF2.1 NNLO
HIGGS XSECT.
ISSUES
PDF UNCERTAINTIES:DO THEY HAVE A STATISTICAL MEANING?
SOMETIMES STATED THAT “PDF UNCERTAINTIES ARE THEORETICALUNCERTAINTIES” (THUS DEVOID OF STATISTICAL MEANING) IS IT TRUE?
)
hOinew
=
RO[f ℄Pnew(f)Df;= N�
RO[f ℄P(�2jf)Pold(f)Df;
hOinew
=
1
Nrep
PNrep
k=1
N�P(�2jfk)O[fk℄ =
1
Nrep
PNrep
k=1
wk O[fk℄ wk = N (�2k)
n=2�1e� 12�2k
)
(de Lorenzi, M Nulty, 2010-2011))
��
� )
PDF UNCERTAINTIES:DO THEY HAVE A STATISTICAL MEANING?
SOMETIMES STATED THAT “PDF UNCERTAINTIES ARE THEORETICALUNCERTAINTIES” (THUS DEVOID OF STATISTICAL MEANING) IS IT TRUE?
A WAY OF TESTING:NEW DATA ) BAYES’ THEOREM
hOinew
=
RO[f ℄Pnew(f)Df;= N�
RO[f ℄P(�2jf)Pold(f)Df;
IN A MONTE CARLO APPROACH...
hOinew
=
1
Nrep
PNrep
k=1
N�P(�2jfk)O[fk℄ =
1
Nrep
PNrep
k=1
wk O[fk℄, wk = N (�2k)
n=2�1e� 12�2k
) EFFECT OF NEW DATA IS ACCOUNTED FOR BYREWEIGHTING MONTE CARLO AVERAGES
(CAN ALSO BE IMPLEMENTED IN HESSIAN FRAMEWORK (de Lorenzi, M Nulty, 2010-2011))
� DETERMINE PDFS INCLUDING SOME DATA BY BAYES’ THEOREM(REWEIGHTING)
� DETERMINE PDFS BY ENLARGING THE DATASET TO THE NEW DATA(REFITTING)
� COMPARE RESULTS ) IF THEY AGREE, PDFS DO HAVE A STATISTICALINTERPRETATIONS ALRIGHT!
RUNNING THE TESTINCLUSION OF JET DATA: REWEIGHTING VS. REFITTING
NNPDF2.0DIS+DY VS. NNPDF2.0FULL
GLUON
x0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
) 02xg
(x, Q
-0.1
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7NNPDF2.0 (DIS+DYP)
NNPDF2.0 (DIS+DYP) + rw JET
NNPDF2.0
GLUON UNCERTAINTY
x0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
) 02A
bs.e
r.(x
g) (
x, Q
0
0.05
0.1
0.15
0.2
0.25NNPDF2.0 (DIS+DYP)
NNPDF2.0 (DIS+DYP) + rw JET
NNPDF2.0
DISTANCES
0
1
2
3
4
5
6
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
d[ q
(x,Q
02 ) ]
x
Distance between central values
NNPDF2.0 vs. NNPDF2.0 DIS+DYP + Jets(RW) (100)Σg
T3V
∆Ss+s-
0
1
2
3
4
5
6
1e-05 0.0001 0.001 0.01 0.1 1
d[ q
(x,Q
02 ) ]
x
Distance between central values
NNPDF2.0 vs. NNPDF2.0 DIS+DYP + Jets(RW) (100)Σg
T3V
∆Ss+s-
0
1
2
3
4
5
6
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
d[ σ
q(x,
Q02 )
]
x
Distance between PDF uncertainties
NNPDF2.0 vs. NNPDF2.0 DIS+DYP + Jets(RW) (100)Σg
T3V
∆Ss+s-
0
1
2
3
4
5
6
1e-05 0.0001 0.001 0.01 0.1 1
d[ σ
q(x,
Q02 )
]
x
Distance between PDF uncertainties
NNPDF2.0 vs. NNPDF2.0 DIS+DYP + Jets(RW) (100)Σg
T3V
∆Ss+s-
d � 1 ) STATISTICAL EQUIVALENCE
STATISTICAL INTERPRETATION VALIDATED
DATA CONSISTENCY: WHY WE NEED IT
� DIS ONLY FIT )
SIGNIFICANT LOSS IN
ACCURACY
FOR GLUON (& OTHER
PDFS)
� HERA ONLY
EVEN WORSE
� BUT COLLIDER ONLY
(HERA+TEVATRON)CLOSE TO GLOBAL FIT
(FOR GLUON,THOUGH NOT FOR VALENCE)
THE GLUON: GLOBAL VS DIS VS HERA
THE GLUON: GLOBAL VS COLLIDER ONLY
DATA CONSISTENCY: HOW TO TEST FOR IT
� INCONSISTENT DATA , UNDERESTIMATED UNCERTAINTIES
� RESCALE ALL UNCERTAINTIES IN A GIVEN EXPERIMENT BY SOME FACTOR �:
�
2� = �
2=� (TOLERANCE)
� DETERMINE PROBABILITY DISTRIBUTION OF � VALUES BY BAYES’ THEOREM
) REWEIGHTING: P(�) = N�
PNk=1
wkwk(�):
JETS
α0 1 2 3 4 5
)α
P(
0
0.01
0.02
0.03
0.04
0.05
0.06
)α|2χP(
)αP(
)α|2χP(D0 e INCLUSIVE
α0 1 2 3 4 5
)α
P(
0
0.002
0.004
0.006
0.008
0.01
0.012
0.014
0.016
0.018
)α|2χP(
)αP(
)α|2χP(
D0 e HIGH ET
α0 1 2 3 4 5
)α
P(
0
0.002
0.004
0.006
0.008
0.01
0.012
0.014
0.016
0.018
0.02
0.022
)α|2χP(
)αP(
)α|2χP(
� JETS: ) CONSISTENT DATA
� W
� CHARGE ASYMMETRIES, D0 INCLUSIVE e DATA )
UNCERTAINTIES UNDERESTIMATED BY � 30% (PROB. PEAKS AT � � 1:7)
� W
� CHARGE ASYMMETRIES, D0 e DATA WITH ET > 35 GEV ) INCONSISTENT DATA
NMC DATA: A PROBLEM?
� NMC PROTON AND DEUTERON DATA FOR DIS F2 STRUCTURE FUNCTION
� F2STRUCTURE FUNCTION DATA USED IN MSTW, CTEQ, NNPDF FITS,WOULD THE USE OF CROSS SECTION DATA MAKE A DIFFERENCE?
(Alekhin, Bl�umlein, Mo h, 2011)e�(x; y;Q2) = F2(x;Q
2)
�2� 2y + y2=[1 +R(x;Q
2)℄
�
(NLO: arXiv:1102.3182; NNLO: preliminary)
NMC DATA: A PROBLEM?
� NMC PROTON AND DEUTERON DATA FOR DIS F2 STRUCTURE FUNCTION
� F2STRUCTURE FUNCTION DATA USED IN MSTW, CTEQ, NNPDF FITS,WOULD THE USE OF CROSS SECTION DATA MAKE A DIFFERENCE?
(Alekhin, Bl�umlein, Mo h, 2011)e�(x; y;Q2) = F2(x;Q
2)
�2� 2y + y2=[1 +R(x;Q
2)℄
�NNPDF FIT REPEATED WITH NMC XSECT OR NO NMC
(NLO: arXiv:1102.3182; NNLO: preliminary)
EFFECT ON GLUON
x-410 -310 -210 -110
)]2R
[g (
x, Q
0.85
0.9
0.95
1
1.05
1.1
1.15
1.2
1.25
2 GeV4 = 102Ratio to NNPDF2.1, Q
NNPDF2.1
NNPDF2.1-NMCxsec
NNPDF2.1-noNMC
2 GeV4 = 102Ratio to NNPDF2.1, QEFFECT ON HIGGS XSECT
[ GeV ]HM100 120 140 160 180 200 220 240 260 280 300 320
( H
->
gg )
)σ
R (
0.9
0.95
1
1.05
1.1
1.15
NNLO gg->H production, Ratio to NNPDF2.5 (TMP)
NNPDF2.5 NNLO(TMP) NMC-XSEC
NNPDF2.5 NNLO(TMP) NMC SF
NNLO gg->H production, Ratio to NNPDF2.5 (TMP)
NO SIGNIFICANT CHANGE OBSERVED
NMC DATA: A PROBLEM?A CLOSER LOOK
� ALEKHIN ET AL. SEE LARGE SHIFT IN BESTFIT �s: FROM 0.1170 (NMC F2) TO0.1135 (NMC �s)
� HOW MUCH OF THEIR CHANGE IN HIGGS XSECT (� 8%) DUE TO CHANGE IN �s?
� BASED ON POWER COUNTING, EXPECT 2:8��s = 8% (!)
� EITHER REMOVE NMC DATA, OR CHANGE VALUE OF �s IN MSTW FIT
(Thorne, presented by Watt at PDF4LHC 2011):
{{ �s
{
�s = 0:113
NMC DATA: A PROBLEM?A CLOSER LOOK
� ALEKHIN ET AL. SEE LARGE SHIFT IN BESTFIT �s: FROM 0.1170 (NMC F2) TO0.1135 (NMC �s)
� HOW MUCH OF THEIR CHANGE IN HIGGS XSECT (� 8%) DUE TO CHANGE IN �s?
� BASED ON POWER COUNTING, EXPECT 2:8��s = 8% (!)
� EITHER REMOVE NMC DATA, OR CHANGE VALUE OF �s IN MSTW FIT
(Thorne, presented by Watt at PDF4LHC 2011):
{ IMPACT OF NMC DATA NEGLIGIBLE
{ IMPACT OF �s VALUE COMPARABLE (SOMEWHAT SMALLER) TO WHOLE ABKMEFFECT
{ MSTW AND ABKM RESULTS STILL QUITE DIFFERENT EVEN FOR SAME
�s = 0:113
THE VALUE OF �s
� DEDICATED MUNICH MEETING (FEB 2011):S. BETHKE PROPOSES TWO UPDATED VALUES:
{ (1) �s = 0:1174� 0:0011
{ (2) �s = 0:1187� 0:0006
{ BOTH INCLUDE NEW VALUE FROM � DECAYS �s = 0:1213� 0:0014
(WAS �s = 0:1197� 0:0016)
{ VALUE (1) ALSO INCLUDES NEW SCET VALUE FROM e+
e�
THRUST
(Abbate et al., 2010)
�s = 0:1135� 0:0010, BUT ALL UNCERTAINTIES RESCALED BY FACTOR 2
{ VALUE (2) EXCLUDES IT
� AVERAGING THE TWO MOST RELIABLE VALUES (GLOBAL EW FIT & � , BOTH
N3LO, NO DEP. ON HADRON STRUCTURE) GIVES
�s = 0:1209� 0:0013
� 0:002
THE VALUE OF �s
� DEDICATED MUNICH MEETING (FEB 2011):S. BETHKE PROPOSES TWO UPDATED VALUES:
{ (1) �s = 0:1174� 0:0011
{ (2) �s = 0:1187� 0:0006
{ BOTH INCLUDE NEW VALUE FROM � DECAYS �s = 0:1213� 0:0014
(WAS �s = 0:1197� 0:0016)
{ VALUE (1) ALSO INCLUDES NEW SCET VALUE FROM e+
e�
THRUST
(Abbate et al., 2010)
�s = 0:1135� 0:0010, BUT ALL UNCERTAINTIES RESCALED BY FACTOR 2
{ VALUE (2) EXCLUDES IT
� AVERAGING THE TWO MOST RELIABLE VALUES (GLOBAL EW FIT & � , BOTH
N3LO, NO DEP. ON HADRON STRUCTURE) GIVES
�s = 0:1209� 0:0013
� UNCERTAINTY LARGER THAN 0:002 QUITE UNLIKELY
OUTLOOK
PRACTICAL PRESCRIPTIONS
(no new PDF4LHC guidelines: my suggestion, to start dis ussion)
� ISSUES OF �s UNCERTAINTY & PDF UNCERTAINTY SHOULD NOT BE MIXED:AGREE ON REASONABLE CONSERVATIVE RANGE FOR EITHER
� �s UNCERTAINTY LARGER THAN ��s = 0:002 DOES NOT SEEM ADVISABLE;ANY OF ABOVE CENTRAL VALUES ACCEPTABLE WITH THIS UNCERTAINTY,BUT AGREE ON ONE
� EVEN AT FIXED �s, ENVELOPE INCLUDING PDFS W/O HADRONIC DATA NOT
ADVISABLE
� IDEALLY, WAIT FOR CTEQ+NNPDF NNLO AND/OR ABKM WITH
TEVATRON JETS & VARIOUS �s VALUES
� IF NOT, JUST UPDATE PDF4LHC NNLO WITH CT10 & NNPDF2.1
(res ale MSTW08 NNLO un ertainty by NLO MSTW/envelope un ertainty ratio)
MOTIVATION:
{ NNLO VS NLO DIFFERENCES SMALLER THAN DIFFERENCES BETWEEN SETS
{ DIFFERENCES BETWEEN PDFS BASED ON DIFFERENT DATASETS LIKELY TO
REFLECT MISSING INFORMATION
{ DIFFERENCES BETWEEN PDFS BASED ON WIDEST DATASET MAY REFLECT
GENUINE METHODOLOGICAL UNCERTAINTIES
EXTRAS
THE FUTURE: COLLIDERONLY PDFS
� LHC CAN PROVIDE US PRECISION INFORMATION ON PDFS
� TOWARDS A “COLLIDER ONLY” HERA+LHC PDF FIT
(TEVATRON DATA MIGHT BE SUPERFLUOUS)
{ MEDIUM & LARGE x GLUON
� PROMPT PHOTONS AVAILABLE
� (PRECISION) JETS IN PROGRESS
{ LIGHT FLAVORS AT MEDIUM @ SMALL x, FLAVOR SEPARATION @ SMALL x
� LOW–MASS DRELLYAN PRELIM.
� Z RAPIDITY DISTRIBUTIONS PRELIM.
� W ASYMMETRIES AVAILABLE
{ STRANGENES & HEAVY FLAVORS
� STRANGENESS ) W + FUTURE?
� CHARM ) Z + , + FUTURE?
� BOTTOM Z + b IN PROGRESS
BEYOND DGLAP?DISCOVERING A NEW QCD EFFECT IN HERA DATA
IDEA: (G�elis, 2008, ) Caola, s.f. ,Rojo 2010)
� CUT OUT DATA IN THE “DANGEROUS” (SMALL x)REGION
� DETERMINE PDFS IN THE “SAFE”(LARGE x AND Q
2) REGION
� EVOLVE BACKWARDS AND COMPARE TO DATA
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�� x Q
2
� x Q
2
BEYOND DGLAP?DISCOVERING A NEW QCD EFFECT IN HERA DATA
IDEA: (G�elis, 2008, ) Caola, s.f. ,Rojo 2010)
� CUT OUT DATA IN THE “DANGEROUS” (SMALL x)REGION
� DETERMINE PDFS IN THE “SAFE”(LARGE x AND Q
2) REGION
� EVOLVE BACKWARDS AND COMPARE TO DATA
OLD HERA DATABACKWARD EV. VS DATA
x
-410
-310
-210
)2
=3
.5 G
eV
2(x
,Q2
F
0.2
0.4
0.6
0.8
1
1.2
1.4
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Fit without cutsxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
= 0.5cut
Fit with Axxxxxxxxxxxxxxxxxxxxxxxx
= 1.5cut
Fit with A
Data
DAT/TH DIST: NO CUT DAT/TH DIST: CUT
� BACKWARD EVOLVED FIT LIES SYSTEMATICALLY BELOW DATA
� DATA AT LOW x AND Q2
SHOW LESS EVOLUTION THAN PREDICTED BY NLO DGLAP
� IF LOW x AND Q2
DATA INCLUDED, THE FIT COMPENSATES READJUSTING PDFS
NEW COMBINED HERA DATABACKWARD EV. VS DATA
x
-410
-310
-210
)2
=3
.5 G
eV
2(x
,Q2
F
0.2
0.4
0.6
0.8
1
1.2
1.4
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xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Fit without cutsxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
= 0.5cut
Fit with Axxxxxxxxxxxxxxxxxxxxxxxx
= 1.5cut
Fit with A
Data
DAT/TH DIST: NO CUT DAT/TH DIST: CUT
� DATA AT LOW x AND Q2
SHOW LESS EVOLUTION THAN PREDICTED BY NLO DGLAP
� BACKWARD EVOLVED FIT LIES SYSTEMATICALLY BELOW DATA
� WITH MORE PRECISE DATA, THE FIT NO LONGER MANAGES TO COMPENSATE BY
READJUSTING THE PDFS: EVEN FULL FIT LIES BELOW DATA
DETERIORATION IN FIT QUALITY:
hd2i VS x SLICES
>2<d
0.5
1
1.5
2
2.5
3 = 1.5cutFit with A
Fit without cuts < 1.0 cutA
< 1.5cut1.0 < A
< 3.0cut1.5 < A
< 6.0 cut3.0 < A
> 6.0cutA
� QUALITY OF UNCUT FIT DETERIORATES IN LOW xREGIONS
� QUALITY OF CUT FIT INCREASINGLY POOR AS x
DECREASES
� DISTANCE RISES DESPITE HUGE INCREASE IN UNCERTAINTY
�
)
�2
x
1.0 1.5 3.0 6.0 6.0
fit
GeV
36 18 30 27 468
ranges
0.5
1.0
1.5
2.0
2.5
3.0
DETERIORATION IN FIT QUALITY:
hd2i VS x SLICES
>2<d
0.5
1
1.5
2
2.5
3 = 1.5cutFit with A
Fit without cuts < 1.0 cutA
< 1.5cut1.0 < A
< 3.0cut1.5 < A
< 6.0 cut3.0 < A
> 6.0cutA
� QUALITY OF UNCUT FIT DETERIORATES IN LOW xREGIONS
� QUALITY OF CUT FIT INCREASINGLY POOR AS x
DECREASES
� DISTANCE RISES DESPITE HUGE INCREASE IN UNCERTAINTY
� IN HESSIAN FIT (CTEQ) RESULTS DEPEND ON
PARAMETRIZATION ) EVIDENCE INCONCLUSIVE
�2
VS x SLICES FOR CT10
<1.0 1.0-1.5 1.5-3.0 3.0-6.0 >6.0
ææ
æ
ææ
à
à
à
àà
ì
ì
ì
ìì
CT10 fit
Fit 1 with Acut=1.5Fit 2 with Acut=1.5
Q > 2 GeV
N pts= 36 18 30 27 468Ags
ranges
0.5
1.0
1.5
2.0
2.5
3.0Χdata
2�Npts
NNPDF �s
NLO NNPDF2.1 GLOBAL DETERMINATION (ONLY STAT. ERROR KNOWN)
Nrep = 500 PER VALUE OF �s
�s(Mz) = 0:1191� 0:0006(stat:)� 0:0001(pro :)
3860
3880
3900
3920
3940
3960
3980
0.113 0.115 0.117 0.119 0.121 0.123 0.125
χ2
αs(MZ)
NNPDF2.1 Total Dataset
DataParabolic Fit
�
2=d:o:f: = 1:6 for the paraboli �t
THE RESULT: DIS ONLYDO DIS DATA PREFER A SMALLER VALUE?NLO NNPDF2.1 DEEPINELASTIC DATA
Nrep = 500 PER VALUE OF �s
�s(Mz) = 0:1177� 0:0009(stat:)� 0:0002(pro :)
3170
3180
3190
3200
3210
3220
3230
3240
3250
0.113 0.115 0.117 0.119 0.121 0.123 0.125
χ2
αs(MZ)
NNPDF2.1 - DIS data only
DataParabolic Fit
�
2=d:o:f: = 0:8 for the paraboli �t
� YES
� BUT NOT MUCH SMALLER & WITH LARGER UNCERTAINTY(COMPATIBLE WITHIN UNCERTAINTIES, AS IT OUGHT TO)
INDIVIDUAL EXPERIMENTS: WHAT’S GOING ON?
�2 PROFILE FOR INDIVIDUAL EXPERIMENTS IN GLOBAL & DIS FITS
110
115
120
125
130
135
140
0.113 0.115 0.117 0.119 0.121 0.123 0.125
χ2
αs(MZ)
NMCpd
NNPDF2.1NNPDF2.1-DIS
370
375
380
385
390
395
400
405
410
0.113 0.115 0.117 0.119 0.121 0.123 0.125
αs(MZ)
NMC
NNPDF2.1NNPDF2.1-DIS
60
70
80
90
100
110
120
130
140
0.113 0.115 0.117 0.119 0.121 0.123 0.125
αs(MZ)
SLAC
NNPDF2.1NNPDF2.1-DIS
690
700
710
720
730
740
750
760
0.113 0.115 0.117 0.119 0.121 0.123 0.125
αs(MZ)
BCDMS
NNPDF2.1NNPDF2.1-DIS
610
615
620
625
630
635
640
645
650
0.113 0.115 0.117 0.119 0.121 0.123 0.125
χ2
αs(MZ)
HERA-I
NNPDF2.1NNPDF2.1-DIS
900
920
940
960
980
1000
1020
1040
1060
0.113 0.115 0.117 0.119 0.121 0.123 0.125
αs(MZ)
CHORUS
NNPDF2.1NNPDF2.1-DIS
30
35
40
45
50
0.113 0.115 0.117 0.119 0.121 0.123 0.125
αs(MZ)
NuTeV
NNPDF2.1NNPDF2.1-DIS
160
162
164
166
168
170
172
174
0.113 0.115 0.117 0.119 0.121 0.123 0.125
αs(MZ)
ZEUS-H2
NNPDF2.1NNPDF2.1-DIS
98
99
100
101
102
103
104
105
0.113 0.115 0.117 0.119 0.121 0.123 0.125
χ2
αs(MZ)
E605
NNPDF2.1
240
245
250
255
260
265
270
0.113 0.115 0.117 0.119 0.121 0.123 0.125
αs(MZ)
E866
NNPDF2.1
60
65
70
75
80
85
90
95
100
0.113 0.115 0.117 0.119 0.121 0.123 0.125
αs(MZ)
CDF jets
NNPDF2.1
88
90
92
94
96
98
100
102
104
0.113 0.115 0.117 0.119 0.121 0.123 0.125
αs(MZ)
D0 jets
NNPDF2.1
� BCDMS SIMILAR TO HERA, NMC PRETTY FLAT
� DIS EXPERIMENTS (BCDMS+HERA) IN DIS FIT HAVE A “RUNAWAY DIRECTION” AT
SMALL �s,ABSENT IN GLOBAL FIT
� JET EXPERIMENTS EXCLUDE SMALL �s
IS THERE A PROBLEM WITH DIS?
CONJECTURE
� IN DIS, GLUON DETERMINED BY SCALING VIOLATIONS ) CAN COMPENSATE SMALLER �s WITH LARGER GLUON (OR CONVERSELY)
) RUNAWAY DIRECTIONS POSSIBLE IN DIS FIT
� JET DATA ARE AT MUCH LARGER SCALE, IF �s TOO SMALL OR LARGE
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THE EVIDENCE
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0
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� COMPUTE THE CORRELATION BETWEEN �
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� OPPOSITE SIGN CORRELATIONS , DATA PULLING IN OPPOSITE DIRECTIONS
� AT LOW �s = 0:114 DIS FIT HAS A RUNAWAY DIRECTION STABILIZED BY JETS
� AT HIGH �s = 0:122 FIT IS GENERALLY STABLE,THOUGH STILL SOME PULL IN HERA LOW x
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0.4
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NNPDF2.1
CT10
MSTW08
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NNPDF2.1
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NNPDF2.1
CT10
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