publication . Master thesis . 2006

QCD Analysis of Parton Helicity Distributions with HERMES SIDIS Data

Imazu, Y.;
Open Access English
  • Published: 01 Jan 2006
  • Country: Germany
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free text keywords: Unveröffentlichte Hochschulschrift
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2 QCD and hard processes 9 2.1 Deep Inelastic Scattering . . . . . . . . . . . . . . . . . . . . . 10 2.2 Operator product expansion (OPE) . . . . . . . . . . . . . . . 16 2.3 Renormalization group equation . . . . . . . . . . . . . . . . . 19 2.3.1 General framework and asymptotic freedom . . . . . . 19 2.3.2 Application to OPE . . . . . . . . . . . . . . . . . . . 25 2.4 Mass factorization method and parton distribution function (PDF) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 2.5 Theoretical consequences . . . . . . . . . . . . . . . . . . . . . 37 2.5.1 Deep inelastic scattering (DIS) . . . . . . . . . . . . . 37 2.5.2 Single-inclusive hadron detection of e+ e annihilation (SIA) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 2.5.3 Polarized DIS . . . . . . . . . . . . . . . . . . . . . . . 40 2.5.4 Semi-inclusive deep inelastic scattering (SIDIS) . . . . 41

3 Polarized DIS and polarized PDF analysis 43 3.1 Polarized DIS . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 3.1.1 Polarized DIS and polarized PDFs . . . . . . . . . . . 44 3.1.2 Polarized SIDIS . . . . . . . . . . . . . . . . . . . . . . 48 3.2 Analysis of polarized PDFs . . . . . . . . . . . . . . . . . . . . 49 3.2.1 Parameterization . . . . . . . . . . . . . . . . . . . . . 50 3.2.2 2 tting process and experimental data . . . . . . . . 54 3.2.3 Equipment for tting . . . . . . . . . . . . . . . . . . . 57 3.2.4 Con rmation of numerical calculation with my programs 58

4 Results and discussion 65 4.1 Fitting results with polarized DIS data and discussion . . . . . 65 4.1.1 Table of the parameters obtained by tting . . . . . . . 70 4.1.2 Table of rst moments of polarized PDFs . . . . . . . . 71

[1] J. D. Bjorken. Asymptotic sum rules at in nite momentum. Phys. Rev., 179:1547{1553, 1969.

[2] Kenneth G. Wilson. Nonlagrangian models of current algebra. Phys. Rev., 179:1499{1512, 1969.

[12] G. Curci, W. Furmanski, and R. Petronzio. Evolution of parton densities beyond leading order: The nonsinglet case. Nucl. Phys., B175:27, 1980. [OpenAIRE]

[13] R. Keith Ellis, Howard Georgi, Marie Machacek, H. David Politzer, and Graham G. Ross. Perturbation theory and the parton model in qcd. Nucl. Phys., B152:285, 1979.

[14] Guido Altarelli and G. Parisi. Asymptotic freedom in parton language. Nucl. Phys., B126:298, 1977. [OpenAIRE]

[23] M. Hirai, S. Kumano, and M. Miyama. Numerical solution of q**2 evolution equations for polarized structure functions. Comput. Phys. Commun., 108:38, 1998. [OpenAIRE]

[47] Jechiel Lichtenstadt and Harry J. Lipkin. Spin contents of nucleons with su(3) breaking. Phys. Lett., B353:119{122, 1995. [OpenAIRE]

[58] M. Derrick et al. Measurement of the proton structure function F2 at low x and low Q 2 at hera. Z. Phys., C69:607{620, 1996. [OpenAIRE]

[60] B. Adeva et al. Measurement of the inclusive production of neutral pions and charged particles on the z0 resonance. Phys. Lett., B259:199{208, 1991. [OpenAIRE]

Subjects
free text keywords: Unveröffentlichte Hochschulschrift
Related Organizations
Download from

2 QCD and hard processes 9 2.1 Deep Inelastic Scattering . . . . . . . . . . . . . . . . . . . . . 10 2.2 Operator product expansion (OPE) . . . . . . . . . . . . . . . 16 2.3 Renormalization group equation . . . . . . . . . . . . . . . . . 19 2.3.1 General framework and asymptotic freedom . . . . . . 19 2.3.2 Application to OPE . . . . . . . . . . . . . . . . . . . 25 2.4 Mass factorization method and parton distribution function (PDF) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 2.5 Theoretical consequences . . . . . . . . . . . . . . . . . . . . . 37 2.5.1 Deep inelastic scattering (DIS) . . . . . . . . . . . . . 37 2.5.2 Single-inclusive hadron detection of e+ e annihilation (SIA) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 2.5.3 Polarized DIS . . . . . . . . . . . . . . . . . . . . . . . 40 2.5.4 Semi-inclusive deep inelastic scattering (SIDIS) . . . . 41

3 Polarized DIS and polarized PDF analysis 43 3.1 Polarized DIS . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 3.1.1 Polarized DIS and polarized PDFs . . . . . . . . . . . 44 3.1.2 Polarized SIDIS . . . . . . . . . . . . . . . . . . . . . . 48 3.2 Analysis of polarized PDFs . . . . . . . . . . . . . . . . . . . . 49 3.2.1 Parameterization . . . . . . . . . . . . . . . . . . . . . 50 3.2.2 2 tting process and experimental data . . . . . . . . 54 3.2.3 Equipment for tting . . . . . . . . . . . . . . . . . . . 57 3.2.4 Con rmation of numerical calculation with my programs 58

4 Results and discussion 65 4.1 Fitting results with polarized DIS data and discussion . . . . . 65 4.1.1 Table of the parameters obtained by tting . . . . . . . 70 4.1.2 Table of rst moments of polarized PDFs . . . . . . . . 71

[1] J. D. Bjorken. Asymptotic sum rules at in nite momentum. Phys. Rev., 179:1547{1553, 1969.

[2] Kenneth G. Wilson. Nonlagrangian models of current algebra. Phys. Rev., 179:1499{1512, 1969.

[12] G. Curci, W. Furmanski, and R. Petronzio. Evolution of parton densities beyond leading order: The nonsinglet case. Nucl. Phys., B175:27, 1980. [OpenAIRE]

[13] R. Keith Ellis, Howard Georgi, Marie Machacek, H. David Politzer, and Graham G. Ross. Perturbation theory and the parton model in qcd. Nucl. Phys., B152:285, 1979.

[14] Guido Altarelli and G. Parisi. Asymptotic freedom in parton language. Nucl. Phys., B126:298, 1977. [OpenAIRE]

[23] M. Hirai, S. Kumano, and M. Miyama. Numerical solution of q**2 evolution equations for polarized structure functions. Comput. Phys. Commun., 108:38, 1998. [OpenAIRE]

[47] Jechiel Lichtenstadt and Harry J. Lipkin. Spin contents of nucleons with su(3) breaking. Phys. Lett., B353:119{122, 1995. [OpenAIRE]

[58] M. Derrick et al. Measurement of the proton structure function F2 at low x and low Q 2 at hera. Z. Phys., C69:607{620, 1996. [OpenAIRE]

[60] B. Adeva et al. Measurement of the inclusive production of neutral pions and charged particles on the z0 resonance. Phys. Lett., B259:199{208, 1991. [OpenAIRE]

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