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Regge Inspired QCD Based Investigation on the Q 2 Dependence of Gross-Llewellyn Smith Sum Rule Up to NNLO QCD Corrections

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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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Keywords: GLS SUM RULE; QUANTUM CHROMODYNAMICS; REGGE THEORY; XF3 STRUCTURE FUNCTION

Document Type: Research Article

Publication date: June 1, 2015

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  • Journal of Advanced Physics is an interdisciplinary peer-reviewed journal consolidating research activities in all experimental and theoretical aspects of advanced physics. The journal aims in publishing articles of novel and frontier physics that merit the attention and interest of the whole physics community. JAP publishes review articles, full research articles, short communications of important new scientific and technological findings in all latest research aspects of physics.
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