Direct determination of the structure functions F_L, F_S and G from F₂ and dF₂/dQ² to O(α_s²)

2026/05/09 by G. R. Boroun, Loyal Durand, Phuoc Ha
#hep-ph

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Abstract

We extend the results of Lappi \em et al., Eur.~Phys.~J.~C \bf 84, 84 (2024), to show that it is possible to obtain expressions for the longitudinal, singlet and gluon structure functions F_L, F_S and G in deep inelastic scattering directly in terms of the measured functions F₂ and dF₂/ln(Q²) \em modulo non-singlet corrections expected to be small at very small x. The latter can be treated at low x using existing quark distributions. Our results are presented consistently to O(α_s²), correcting and extending the mixed-order results of Lappi \em et al..

Related

• QCD relations between structure functions at small x
• Longitudinal Structure Function at the Limit x=Q²/s
• Introduction to Structure Functions
• The Longitudinal Structure Function F_L at small x
• α_s from DIS data with large x resummations