<p>The photon structure function has been a solid platform for testing the strong interaction along with the nucleon structure function. The strong interaction has the property that it is perturbatively calculable at high energy, but becomes non-perturbative at low energy. This nature makes QCD difficult to handle theoretically regarding the factorization of these two regions. The fundamental dimensional parameter, also called the QCD scale parameter <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\( \Lambda _{ \overline{\textrm{MS}}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="normal">Λ</mi> <mover> <mtext>MS</mtext> <mo>¯</mo> </mover> </msub> </math></EquationSource> </InlineEquation>, is a key player in factorizing these two energy regions. In this work, we extract the QCD scale parameter from the photon structure function by separating the perturbative and non-perturbative QCD contributions. To achieve this, we use the vector meson dominance model for the non-perturbative energy region of the photon structure function.</p>

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The QCD scale parameter from the photon structure function

  • Hun Jang,
  • Eun Bok,
  • Hyeunwoo Kim,
  • Byeongjun Yoon,
  • Sun Myong Kim

摘要

The photon structure function has been a solid platform for testing the strong interaction along with the nucleon structure function. The strong interaction has the property that it is perturbatively calculable at high energy, but becomes non-perturbative at low energy. This nature makes QCD difficult to handle theoretically regarding the factorization of these two regions. The fundamental dimensional parameter, also called the QCD scale parameter \( \Lambda _{ \overline{\textrm{MS}}}\) Λ MS ¯ , is a key player in factorizing these two energy regions. In this work, we extract the QCD scale parameter from the photon structure function by separating the perturbative and non-perturbative QCD contributions. To achieve this, we use the vector meson dominance model for the non-perturbative energy region of the photon structure function.