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A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x...

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A New Generation of Parton Distributions with Uncertainties from Global QCD Analysis What’s new in this Global QCD Analysis of PDF’s? New Data, New methods and techniques of analysis unable quantitative error treatments and reliable uncertainty studies: (J. Pumplin, D. Stump) New Results and physical applications New generation of CTEQ PDF’s: eigenvector sets which characterize the behavior of overall χ 2 in the neighborhood of the global minimum; Precision W/Z physics at the Tevatron/LHC Parton Luminosities at the Tevatron, LHC, RHIC, VLHC Þ predictions on X-sections and their uncertainties for Higgs-, top-productions, high p T jets, ... etc. Outlook J. Pumplin, D.R. Stump, J. Huston, H.L. Lai, P. Nadolsky, and W.K. Tung Michigan State Univ. hep-ph/0201195 + all available correlated systematic errors (old & new)
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Page 1: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

A New Generation of Parton Distributions with Uncertainties from Global QCD Analysis

What’s new in this Global QCD Analysis of PDF’s? • New Data,

• New methods and techniques of analysis unable quantitative error treatments and reliable uncertainty studies: (J. Pumplin, D. Stump)

New Results and physical applications • New generation of CTEQ PDF’s: eigenvector sets

which characterize the behavior of overall χ2 in the neighborhood of the global minimum;

• Precision W/Z physics at the Tevatron/LHC • Parton Luminosities at

the Tevatron, LHC, RHIC, VLHC � predictions on X-sections and their uncertainties for Higgs-, top-productions, high pT jets, ... etc.

Outlook

J. Pumplin, D.R. Stump, J. Huston, H.L. Lai, P. Nadolsky, and W.K. Tung

Michigan State Univ. hep-ph/0201195

+ all available correlated systematic errors (old & new)

Page 2: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

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Page 3: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

Global QCD Analysis in a Nutshell

Master Equation for QCD Parton Model

{ the Factorization Theorem

F�A(x;m

Q;M

Q) =X

a

faA(x;m

�) F̂�a (x;

Q

�;M

Q)+O((

Q)2)

FA

A

a

fAa

A

Fa^

H H

Sources of Uncertainties and Challenges:

� Experimental errors;

� Parametrization dependence;

� Higher-order corrections; Large Logarithms;

� Power-law (higher twist) corrections.

ExperimentalInput

Parton Dist. Fn.Non-Perturbative Parametrization at Q0

GLAP Evolution to Q

Hard Cross-sectionperturbative calculable

(may contain snLogn(M/Q))

(and uncertainties on errors!)

Page 4: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

*, W, Z

q

g q

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(dir)

DIS

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e N N

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k Np N

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CDHS, CHARMCCFR

CHORUS

E605, E772NA51E866

CDF, D0

WA70, UA6E706

CDF, D0

CDF, D0

Experimental Input: Phyical Processes & Experiments

Wu-Ki Tung
Wu-Ki Tung
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Wu-Ki Tung
Wu-Ki Tung
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Page 5: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

100

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Page 6: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

Whats new/old since CTEQ5?

New Data

◆ new DIS data fromH1/ZEUS

◆ jet cross sections fromD0 as a function of η

◆ updated E866 Drell-Yan deuteron/protonratio

◆ re-analyzed CCFR F2

Old data

◆ BCDMS DIS

◆ NMC DIS

◆ CCFR F3

◆ E665 DIS

◆ E605 DY

◆ CDF W asym

◆ CDF inclusive jets

now use measure-ments at separate energies with fullcorrelation info

Wu-Ki Tung
Wu-Ki Tung
Wu-Ki Tung
Wu-Ki Tung
Page 7: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

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Page 8: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

#�7G0�M � &b) 5�017 M'u'uO78a/5�0 0*$�&%(1Q�(10V&W+ZM�06) u%&�P\Pc7NPc('d g &-2/&O4�5�&9�� : BDv ��� f ~ H < => ? @�A

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Page 9: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

CTEQ6 pdfs

low Q high Q

Page 10: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

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Page 11: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

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Page 12: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

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Page 13: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

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Page 14: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

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Page 15: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

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Page 16: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

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16

Page 17: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

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Page 18: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

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Page 19: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

PDF Uncertainties

Use Hessian technique (T=10)

Page 20: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

Gluon Uncertainty

Gluon is fairly well-constrained up to an x-value of 0.3

New gluon is stiffer thanCTEQ5M; not quite asstiff as CTEQ5HJ

Page 21: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

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Page 22: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

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Page 23: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

Outlook This is only the very beginning of studying uncertainties

in global QCD analysis in a quantitative manner This work demonstrates that the new techniques for

global analysis developed recently are viable and practical.

The new results are very useful for the physics programs of the Tevatron, Hera, and LHC,

There is a lot of room for collaboration among theorists and experimentalists

Many other sources of uncertainties in the overall global analysis have not yet been incorporated: Theoretical uncertainties due to higher-order PQCD

corrections and resummation; Uncertainties introduced by the choice of

parametrization have been explored extensively, but not yet quantitatively formulated.

Heavy quark effects and charm production data in NC and CC experiments will be systematically analyzed � More quantitative information on strange, charm, bottom distributions.

Continued progress in this venture is of vital importance for our understanding of the parton structure of hadrons (fundamental physics of its own right), for precision SM physics studies at future colliders, and for New Physics searches.

Page 24: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

���������:�����'��� � ����� ����� �p� � i����� ��k������ ��NO_ \P7�^.7= � jda j�� M >�^+jda C�A.\H`de@A G 2�� jE>tJa ^@C�a z�a C _ 7=$A:9�c�A.\�a o5�A.^0`kj 70jJ7�^ � z7@\]a 7�q�= A he.7^@[�A0jpt \S>�5 a `kjgz.7�= _ Ai7:`P`de@A[�= >�q.7='5�a ^a 5 _ 5O;

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Page 25: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

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{ G 2��� %' ����� G 2G 2 }#"!

Page 26: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

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Page 27: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

J. Huston

Compare CTEQ6 to MRST

Main difference is thegluon at high x

Page 28: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

J. Huston

Compare CTEQ6 to MRST

Solid: CTEQ6M

Long-dashed: MRST2001

Short-dashed: MRST2001J

Dotted: MRST-like fit

Page 29: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

J. Huston

Uncertainty in gluon at small Q

Note gluon can be negative at small xand large x

Evolves to positive by ~1.3 GeV

Dashed: CTEQ5MDotted: MRST2001Solid: CTEQ6M

Page 30: A New Generation of Parton Distributions with Uncertainties from … · 0.0013 x 0.00161 x 0.0021 x 0.00253 x 0.0032 x 0.005 x 0.008 ZEUS data low x values 10 100 1000 10000 Q 2 sepa

J. Huston

Gluon evolution

CTEQ6M-like gluon atQ=1,2,5,100 GeV

MRST-like gluon at Q=1,2,5,100 GeV


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