IPM Calendar 
Saturday 20 July 2024   Today  
Events for day: Wednesday 24 July 2024    
           11:00 - 12:00     Wednesday Weekly Seminar - Hybrid Format
QCD analysis of xF3 structure functions in deep-inelastic scattering: Mellin transform with Gegenbauer polynomials up to $N^3LO$ approximation

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Abstract:

We examine the xF3 structure functions in deep-inelastic scattering through a comprehensive QCD analysis. Our approach harnesses sophisticated mathematical techniques, namely, the Mellin transform combined with Gegenbauer polynomials. We have employed the Jacobi polynomials approach for analysis, conducting investigations at three levels of precision: next-to-leading order ($NLO$), next-to-next-to-leading order ($N^2LO$), and next-next-next-to-leading order ($N^3LO$). We have performed a comparison of our sets of valence-quark parton distribution functions with those of recent research groups, specifically CT18 and MS ...