Analytic derivation of the longitudinal proton structure function \(F_L(x, Q^2)\) and the reduced cross Section \(\sigma_r(x, Q^2)\) at the leading order and the next-to-leading order approximations

DOI10.1007/S10773-021-04947-1zbMath1483.81069OpenAlexW3200660790WikidataQ114226198 ScholiaQ114226198MaRDI QIDQ2063118

Yanyan Li

Publication date: 10 January 2022

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-021-04947-1

zbMATH Keywords

longitudinalprotonstructure functionparton distribution functions

Mathematics Subject Classification ID

Nuclear physics (81V35) Strong interaction, including quantum chromodynamics (81V05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Laplace transform (44A10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Higher logarithm functions (33B30) Inelastic and multichannel quantum scattering (81U35)

Cites Work

• Evolutions of longitudinal structure function \(F_L\) upto next-to-next-to-leading orders at small-\(x\)
• The third-order QCD corrections to deep-inelastic scattering by photon exchange
• Parton distributions for the LHC
• Solution of \(\mathrm{QCD}\otimes\mathrm{QED}\) coupled DGLAP equations at NLO

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