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The N\\(^3\\)LO Scheme-invariant QCD Evolution of the Non-singlet Structure Functions \\boldmath \\(F^{\\rm NS}_2(x,Q^2)\\) and \\(g_1^{\\rm NS}(x,Q^2)\\)
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The N\\(^3\\)LO Scheme-invariant QCD Evolution of the Non-singlet Structure Functions \\boldmath \\(F^{\\rm NS}_2(x,Q^2)\\) and \\(g_1^{\\rm NS}(x,Q^2)\\)
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The N\\(^3\\)LO Scheme-invariant QCD Evolution of the Non-singlet Structure Functions \\boldmath \\(F^{\\rm NS}_2(x,Q^2)\\) and \\(g_1^{\\rm NS}(x,Q^2)\\)
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Paper
The N\\(^3\\)LO Scheme-invariant QCD Evolution of the Non-singlet Structure Functions \\boldmath \\(F^{\\rm NS}_2(x,Q^2)\\) and \\(g_1^{\\rm NS}(x,Q^2)\\)
2021
Overview
We present the scheme-invariant unpolarized and polarized flavor non-singlet evolution equation to N\\(^3\\)LO for the structure functions \\(F_2(x,Q^2)\\) and \\(g_1(x,Q^2)\\) including the charm- and bottom quark effects in the asymptotic representation. The corresponding evolution is based on the experimental measurement of the non-singlet structure functions at a starting scale \\(Q_0^2\\). In this way the evolution does only depend on the strong coupling constant \\(\\alpha_s(M_Z)\\) or the QCD scale \\(\\Lambda_{\\rm QCD}\\) and the charm and bottom quark masses \\(m_c\\) and \\(m_b\\) and provides one of the cleanest ways to measure the strong coupling constant in future high luminosity deep-inelastic scattering experiments. The yet unknown parts of the 4-loop anomalous dimensions introduce only a marginal error in this analysis.
Publisher
Cornell University Library, arXiv.org
