Regge Inspired QCD Based Investigation on the Q 2 Dependence of Gross-Llewellyn Smith Sum Rule Up to NNLO QCD Corrections
The Q 2 dependence of Gross-Llewellyn Smith (GLS) sum rule is investigated up to next-next-to-leading order (NNLO) Quantum Chromodynamics (QCD) corrections. This investigation is based on the solution of Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equation up to NNLO for xF 3(x, Q 2) structure function using a Q 2 dependent Regge ansatz as initial input. We have utilised the solutions of the DGLAP equations in calculating the GLS integral and performed a phenomenological analysis of our results with that of theoretical QCD predictions and in comparison with the Chicago Columbia Fermilab Rochester (CCFR) experimental data. We have achieved at a very good phenomenological success, which in turn reflects how the available data and the theoretical framework of perturbative QCD allow a test of QCD corrections for GLS sum rule and simultaneously the usefulness of the Regge ansatz as the initial input to solve DGLAP equation is also reflected.
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Document Type: Research Article
Publication date: June 1, 2015
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