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NuTeV Anomaly v ersus Strange Antistrange Asymmetry. Bo-Qiang Ma Department of Physics, Peking University June 17, 200 5 at Internal Conference on QCD and Hadronic Physics. ?.

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Nutev anomaly v ersus strange antistrange asymmetry

NuTeV Anomaly

versus

Strange Antistrange Asymmetry

Bo-Qiang Ma

Department of Physics, Peking University

June 17, 2005

at Internal Conference on QCD and Hadronic Physics

?

In collaboration with S.J. Brodsky, X.-Q. Li, X.-B. Zhang,

and Yong Ding, PLB590(2004)216

Yong Ding, Rong-Guang Xu, PLB607(2005)101

Yong Ding, Rong-Guang Xu, PRD71(2005) 094014


Outline
Outline

  • The NuTeV anamoly and Paschos-Wolfenstein relation

  • A brief review on strange-antistrange asymmetry of the nucleon sea

  • The strange-antistrange asymmetry in the light-cone baryon-meson fluctuation mdel

  • The strange-antistrange asymmetry in the chiral quark model

  • Summary


Weinberg or weak mixing angle from nuetrino dis nutev anamoly
Weinberg (or weak mixing) Angle from Nuetrino DIS: NuTeV Anamoly

  • NuTeV Collaboration reported result, PRL88(02)091802

  • Other electroweak processes

  • The three standard deviations could be an indication of

    new physics beyond standard model

    if it cannot be explained within conventional physics


Nutev anomaly v ersus strange antistrange asymmetry

  • The Paschos-Wolfenstein relation

  • The assumptions for the P-W relationship

    a isoscalar target

    b charge symmetry or isospin symmetry between p and n

    c symmetric strange and antistrange distributions


Nutev anomaly v ersus strange antistrange asymmetry

  • Non-isoscalar target correction

    a neutron excess correction(p<n)

    S. Kumano(PRD66:111301,2002), the correction issmall;

    S. A. Kulagin(PRD67:091301,2003), gave the correction is-0.004.

    b nuclear shadowing and anti-shadowing effect & EMC effect

    S. Kuvalenko, I. Schmit and J.J,Yang (杨建军)(PLB546:68,2002),

    correction varies from-0.00098to 0.00178;

    Brodsky-Schmidt-Yang (PRD70:116003,2004),

    talk by I.Schmidt at this conference

    J.W. QiuandI. Vitev(PLB587:52,2004), provideda modificationto the

    discrepancy;


Nutev anomaly v ersus strange antistrange asymmetry

  • Charge symmetry violation

    a quark model

    E. Sather, (PLB274:433,1992) obtained the correction as of

    -0.002, which could reduce the discrepancy by 40%

    b twist two valence parton distributions

    J. T. Londergan and A.W. Thomas, (PLB558:132,2003; PRD

    67:111901, 2003)) obtained the result which could remove roughly

    one-third of the discrepancy or with more large uncertainties


Nutev anomaly v ersus strange antistrange asymmetry

other calculations about CSV

B.-Q. Ma (PLB274:111,1992);

C.J. BeneshandT. Goldman (PRC55:441,1997)

R.M. DavidsonandM. Burkardt (PLB403:134,1997);

C.J. BeneshandJ.T. Londergan (PRC58:1218,1998)

C. Boros,et. al (PLB468:161,1999)


Nutev anomaly v ersus strange antistrange asymmetry

non-perturbative method

meson cloud model

F. G. Cao (曹福广)and A. I. Signal (PRC62:015203,2000),

found the CSV in both the valence quark distribution

and the nucleon sea are smaller (below 1%) than

most quark model predictions (2%-10%) and did not

give the correction to the discrepancy


Nutev anomaly v ersus strange antistrange asymmetry


The strange antistrange asymmetry
The Strange-Antistrange Asymmetry

The strange quark and antiquark distributions are symmetric at leading-orders of perturbative QCD

However, it has been argued that there is strange-antistrange distribution asymmetry in pQCD evolution at three-loops from non-vanishing up and down quark valence densities.

S.Catani et al. PRL93(2004)152003


Nutev anomaly v ersus strange antistrange asymmetry

Strange-Antistrange Asymmetryfrom Non-Perturbative Sources

  • Meson Cloud Model

    A.I. Signal and A.W. Thomas, PLB191(87)205

  • Chiral Field

    M. Burkardt and J. Warr, PRD45(92)958

  • Baryon-Meson Fluctuation

    S.J. Brodsky and B.-Q. Ma, PLB381(96)317


The strange antistrange asymmetry in a microscopic model
The strange-antistrange asymmetry in a microscopic model

X.Q.Li, X.B.Zhang, B.Q.Ma (PRD65 (01) 014003)

there exists an obvious mass difference due to medium effect between strange and anti-strange quarks, as large as 10-100 MeV, which can produce more sbar at small x and more s at large x.



Strange antistrange asymmetry in phenomenological analyses
Strange-Antistrange Asymmetry in phenomenological analyses

  • V. Barone et al. Global Analysis, EPJC12(00)243

  • NuTeV dimuon analysis, hep-ex/0405037

  • CTEQ Global Analysis, F. Olnesset. al (hep-ph/0312323),

With large uncertainties


A brief comment
A brief comment

More precision determinations of strange-antistrange asymmetry should be performed or some sensitive quantities should be used to measure the strangeness asymmetry


Modified p w relationship
Modified P-W relationship

  • The cross section for neutrino-nucleon DIS

    a for neutral current interaction


Nutev anomaly v ersus strange antistrange asymmetry

b for charged current interaction

  • The structure functions of neutral current



Nutev anomaly v ersus strange antistrange asymmetry

-

  • The modified P-W relation


Strange antistrange asymmetry
strange-antistrange asymmetry

  • In light-cone baryon-meson fluctuation model

  • The dominant baryon-meson configuration for s-sbar






The probabilities for meson baryon fluctuation
The probabilities for meson-baryon fluctuation

  • General case

  • Our case

Brodsky & Ma, PLB381(96)317

Ma, Schmidt, Yang, EPJA12(01)353



The results for
The results for

  • For Gaussian wave function

  • For power law wave function

However, we have also very large Qv (around a factor of 3 larger) in our model calculation, so the ratio of S‾/Qv is reasonable


The results
The results

B.-Q.Ma, Y. Ding, PLB590(2004)216

  • For Gaussian wave function

    the discrepancy from 0.005 to 0.0033(0.0009)

  • For power law wave function

    the discrepancy from 0.005 to 0.0036(0.0016)

    Remove the discrepancy 30%-80%

    between NuTev and other values of Weinberg angle


S x sbar x asymmetry
s(x)/sbar(x) asymmetry

s(x)/sbar(x) could be compatible with data by by including some intrinsic strange sea contributions

CCFR and NuTeV experimental analyses break net zero strangeness


A further chiral quark model study
A Further Chiral Quark Model Study

  • A further study by using chiral quark model also shows that this strange-antistrange asymmetry has a significant contribution to the Paschos-Wolfenstein relation and can explain the anomaly without sensitivity to input parameters.

R.Ding, R.-G.Xu, B.-Q.Ma, PLB607 (2005) 101


The effective chiral quark model
The Effective Chiral Quark Model

  • Established by Weinberg, and developed by Manohar and Georgi, has been widely accepted by the hadron physics society as an effective theory of QCD at low energy scale.

  • Applied to explain the Gottfried sum rule violation by Eichten, Hinchliffe and Quigg, PRD 45 (92) 2269.

  • Applied to explain the proton spin puzzle by Cheng and Li, PRL 74 (95) 2872.


Chiral quark model
Chiral Quark Model

  • The Lagrangian

  • Effective Lagrangian between

    GS bosons and quarks



Two different inputs of valence quark distributions
Two different inputs of valence quark distributions

1、Constituent Quark Model:

2、CTEQ6parametrization


The distributions of within the chiral quark model
The distributions of within the chiral quark model


The distributions for
The distributions for within the chiral quark model


The results for different inputs within the effective chiral quark model

R.Ding, R.-G.Xu, B.-Q.Ma, PLB607(2005)101 within the chiral quark model

The results for different inputs within the effective chiral quark model

  • The results can remove the deviation at least 60%


The strange and antiatrange distributions within effective chiral quark model

R.Ding, R.-G.Xu, B.-Q.Ma, PRD71(2005) 094014 within the chiral quark model

The strange and antiatrange distributions within effective chiral quark model


The comparison for between the model calculation and experiment data

R.Ding, R.-G.Xu, B.-Q.Ma, PRD71(2005) 094014 within the chiral quark model

The comparison for between the model calculation and experiment data

The shadowing area is the range of NuTeV Collaboration, the left side is

the result of the chiral quark model only, and the right side is with an

additional symmetric strange sea contribution.


Several works with similar conclusion
Several works with similar conclusion within the chiral quark model

  • Ding-Ma, 30-80% correction

    PLB590 (2004) 216

  • Alwall-Ingelman, 30% correction

    PRD70 (2004) 111505(R)

  • Ding-Xu-Ma, 60-100% correction

    PLB607 (2005) 101, PRD71 (2005) 094014

  • Wakamatsu, 70-110% correction

    PRD71 (2005) 057504


Summary
Summary within the chiral quark model

  • The effect due to strange-antistrange asymmetry might be important to explain the NuTeV anamoly or the NuTeV anomaly could be served as an evidence for the s-sbar asymmetry.

  • The calculated s-sbar asymmetry are compatiable with the data by including some additional symmetric strange quark contribution.

  • Reliable precision measurements are needed to make a crucial test of s-sbar asymmetry.