Our Understanding of Sea Quarks in the Nucleon

Wen-Chen Chang 章文箴Institute of Physics, Academia Sinica

Weekly Journal Club for Medium Energy Physics at IPAS 2011/1/10

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Q2 :Four-momentum transferx : Bjorken variable (=Q2/2M) : Energy transferM : Nucleon massW : Final state hadronic mass

Inelastic Electron Scattering

Structure Function F2(Q2,x)

3

J. G. Contreras CTEQ School 2005

4

Describing F2 behavior with partons

Lots of partons at small x!

5

Unpolarized Parton Distributions (CTEQ6)

u valence

sea (x 0.05)

gluon (x 0.05)

d

What is Origin of Sea Quarks?

• Extrinsic: the sea quarks solely originate from the splitting of gluons, emitted by valence quarks.

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7

Is in the proton?

Gottfried Sum Rule Gottfried Sum Rule 1

2 20

1

0

[( ( ) ( )) / ]

1 2( ( ) ( ))

3 3

( )1

3 p p

p nG

p p

S F x F x x dx

u x d

i

x dx

f u d

=

du

8

Experimental Measurement of Gottfried Sum

New Muon Collaboration (NMC), Phys. Rev. D50 (1994) R1

SG = 0.235 ± 0.026

( Significantly lower than 1/3 ! )

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Explanations for the NMC result

• Uncertain extrapolation for 0.0 < x < 0.004

• Charge symmetry violation

• in the proton

• Uncertain extrapolation for 0.0 < x < 0.004

• Charge symmetry violation

• in the proton

,( )n p n pu d d u ( ) ( )u x d x

1

0( ( ) ( )) 0.148 0.04d x u x dx

Need independent methods to check the

asymmetry, and to measure its x-dependence !

Need independent methods to check the

asymmetry, and to measure its x-dependence !

d u

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xtarget xbeam

Detector acceptance chooses xtarget and xbeam.

Fixed target high xF = xbeam – xtarget

Beam nucleon: valence quarks at high-x. Target nucleon: sea quarks at low/intermediate-x. Measure ratio of DY process from hydrogen and deuterium:

Drell-Yan process: A laboratory for sea quarks

)2(

)2(1

2

1

)2(

)2(1

)2(

)2()1(4)1(

1

)1(4)1(

1

2

1|

221

xu

xd

xu

xd

xu

xdxuxd

xuxd

xxpp

pd

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Light Antiquark Flavor Asymmetry: Brief History Naïve Assumption:

NA51 (Drell-Yan, 1994)

NMC (Gottfried Sum Rule)

NA 51 Drell-Yan confirms

d(x) > u(x)

NA 51 Drell-Yan confirms

d(x) > u(x)

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Light Antiquark Flavor Asymmetry: Brief History Naïve Assumption:

NA51 (Drell-Yan, 1994)

E866/NuSea (Drell-Yan, 1998)

NMC (Gottfried Sum Rule)

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Advantages of 120 GeV Main InjectorThe (very successful) past:

Fermilab E866/NuSeaFermilab E866/NuSea Data in 1996-1997 1H, 2H, and nuclear targets 800 GeV proton beam

The future:

Fermilab E906Fermilab E906 Data taking planned in 2010 1H, 2H, and nuclear targets 120 GeV proton Beam

Cross section scales as 1/s – 7x that of 800 GeV beam

Backgrounds, primarily from J/ decays scale as s– 7x Luminosity for same detector

rate as 800 GeV beam

50x statistics!!50x statistics!!

Fixed Target

Beam lines

Tevatron 800 GeV

Main Injector

120 GeV

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Extracting d-bar/-ubar From Drell-Yan ScatteringRatio of Drell-Yan cross sections

(in leading order—E866 data analysis confirmed in NLO)

Global NLO PDF fits which include E866 cross section ratios agree with E866 results

Fermilab E906/Drell-Yan will extend these measurements and reduce statistical uncertainty.

E906 expects systematic uncertainty to remain at approx. 1% in cross section ratio.

Deep-Inelastic Neutrino Scattering

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)]()()()([2)(2 xcxsxuxdxxF p

)]()()()([2)(2 xcxsxdxuxxF n

Adler Sum Rule

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2)]()([2)],(),([1

0

1

0

22

22 dxxdxu

x

dxQxFQxF VV

pn

Strange Quark and Anti-quark in the Nucleon

17CCFR, Z. Phys. C 65, 189 (1995)CCFR, Z. Phys. C 65, 189 (1995)

scXcN ;

)(*5.0)( duss

)()( xsxs

Strange Quark and Antiquark in the Nucleon

18NuTeV, PRL 99, 192001 (2007)NuTeV, PRL 99, 192001 (2007)

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Semi-inclusive DIS

Strange Quarks from Charged-Kaon DIS Production

20HERMES, Phys. Lett. B 666, 446 (2008)HERMES, Phys. Lett. B 666, 446 (2008)

Asymmetry of W Production and Flavor Asymmetry of Nucleon Sea

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Yang, Peng, and Groe-Perdekam,Phys. Lett. B 680, 231 (2009)Yang, Peng, and Groe-Perdekam,Phys. Lett. B 680, 231 (2009)

p+p at sqrt(s)=14 TeVp+p at sqrt(s)=14 TeV

CMS Measurement of W Asymmetry at sqrt(s)=7 TeV

22CMS, arXiv:1012.2466 CMS, arXiv:1012.2466

Measured W-asymmetry is consistent with the prediction from the PDF with a flavor asymmetry of sea quarks.Measured W-asymmetry is consistent with the prediction from the PDF with a flavor asymmetry of sea quarks.

Origin of u(x)d(x): Valence quark effect?

• Pauli blocking

– guu is more suppressed than gdd in the proton since p=uud (Field and Feynman 1977)

– pQCD calculation (Ross Sachrajda)

– Bag model calculation (Signal, Thomas, Schreiber)

• Chiral quark-soliton model (Diakonov, Pobylitsa, Polyakov)

• Instanton model (Dorokhov, Kochelev)

• Statistical model (Bourrely, Buccella, Soffer; Bhalerao)

• Balance model (Zhang, Ma)

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The valence quarks affect the Dirac vacuum and the quark-antiquark sea.The valence quarks affect the Dirac vacuum and the quark-antiquark sea.

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Balance Model

A physical hadron state is expanded by a complete set of quark-gluon Fock states

The parton numbers of quarks and gluons in the proton are

•Splitting and recombination

qqg gqqbar

Balance Model (Phys. Lett. B 523 (2001) 260-264)

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More u valence quark in the proton leads to more recombination and thus less ubar.Inclusion of gqqbar does not affect the result of flavor asymmetry.

More u valence quark in the proton leads to more recombination and thus less ubar.Inclusion of gqqbar does not affect the result of flavor asymmetry.

Origin of u(x)d(x): Non-perturbative effect?

• Meson cloud in the nucleons (Thomas, Kumano): Sullivan process in DIS.

• Chiral quark model (Eichten, Hinchliffe, Quigg; Wakamatsu): Goldstone bosons couple to valence quarks.

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The pion cloud is a source of antiquarks in the protons and it lead to d>u.The pion cloud is a source of antiquarks in the protons and it lead to d>u.

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Meson Cloud Model

Virtual is emitted by the proton and the intermediate state is + baryons.

0:1:2:: , 0 Np

0

00

0000

00 |6

1|

3

1|

2

1|

3

2|

3

1|1| bnpapbap

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Chiral Quark Model

Virtual is emitted by the constituent quark.

2:3:4:: , 0 qq

dua y probabilit splitting the:

24 February 2010

Paul E. Reimer, Physics Division, Argonne National Laboratory

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Proton Structure: Remove perturbative sea There is a gluon splitting component

which is symmetric

– Symmetric sea via pair production from

gluons subtracts off– No Gluon contribution at 1st order in s

– Nonperturbative models are motivated by the observed difference

A proton with 3 valence quarks plus glue cannot be right at any scale!!

Greater deviation at large-x

Intrinsic Sea Quark?

• Brodsky et al. (1980) proposed an “intrinsic” (long time-scale) charm component in the proton (PLB 93,451; PRD 23, 2745).

• A decomposition of |uudccbar> Fock state for proton. The intrinsic charm component is distributed at relatively large x region and could explain the large cross-section for charm production at large xf in hadron collisions.

• Jen-Chieh and I are considering to extend this 5q model to describe the non-singlet distributions of (dbar-ubar) and (ubar+dbar-s-sbar), which are independent of the contributions from “extrinsic” sea quarks.

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Sea quarks in

31

cuudc|

5

1

22

2

5

151

)(

)1(),...,(

i i

ip

ii

xm

m

xNxxP

GeV 3/938.0

GeV 5.1

,

du

c

m

m

Sea quarks in

32

suuds|

GeV 3/938.0

GeV 5.0

,

du

s

m

m

Sea quarks in

33

uuudu|

GeV 3/938.0, dum

Sea quarks in

34

uuudu|

The light quark distribution in 5q configuration, which is assumed to be intrinsic,is consistent with the non-singlet distribution of (dbar-ubar). The light quark distribution in 5q configuration, which is assumed to be intrinsic,is consistent with the non-singlet distribution of (dbar-ubar).

GeV 3/938.0, dum

Sea quarks in

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uuudu|

GeV 3/938.0, dum

W production at the LHC is sensitive to the gluon distribution function.

Tevatron: W production is dominated by a LO process with two valence quarks.

LHC: The LO contribution must involve a sea quark; and the NLO contribution from a gluon is significant.

?

Interesting Topics Missing in This Talk

• Transverse spin structure of sea quarks.

• Transverse momentum distribution of sea quarks.

• The correlation of these two properties.

• Flavor asymmetry of these two properties.

• Interpretations from the Lattice QCD.

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Conclusion• From DIS, DY and SIDIS processes, the structure of sea

quarks in the nucleon are explored.• A large asymmetry between dbar and ubar was found at

intermediate-x regions. The origin can be interpreted under the meson cloud model, chiral soliton model, intrinsic 5q model and etc. The intrinsic non-perturbative effect rather than extrinsic perturbative gluon-splitting seems more likely to be the cause.

• No large asymmetry was observed for s and sbar. • The E906/FNAL and LHC experiments are expected to extend

the measurement of sea quarks to the high-x regions where the existing uncertainties are large.

• Precise understanding of sea quark distribution is important for the search of BSM in LHC.

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References

• C. Grosso-Pilcher and M. J. Shochet, Annu. Rev. Nucl. Part. Sci. 36 (1986) 1.

• S. Kumano, Physics Reports 303 (1998) 183.• J.M. Conrad and M.H. Shaevitz, Rev. Mod. Phys. 70

(1998) 1341.• P.L. McGaughey, J.M. Moss and J.C. Peng, Annu. Rev.

Nucl. Part. Sci. 49 (1999) 217.• G.T. Garvey and J.C. Peng, Prog. in Part. And Nucl. Phys.

47 (2001) 203.• J.C. Peng, Eur. Phys. J. A 18 (2003) 395.• J.T. Londergan, J.C. Peng, and A.W. Thomas, Rev. Mod.

Phys. 82 (2010) 2009.

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