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A next-to-leading order QCD calculation of nonsinglet spin structure function g1NS(x,t) at small x is presented using the analytical methods: Lagrange’s method and method of characteristics. The compatibility of these analytical approaches is tested by comparing the analytical solutions with the available polarized global fits

advances in high energy physics

An Analytical Study of the Nonsinglet Spin Structure Function<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:msubsup><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mtext>N</mml:mtext><mml:mtext>S</mml:mtext></mml:mrow></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>Up to NLO in the DGLAP Approach at Small<mml:math xmlns:mml="…

An Analytical Study of the Nonsinglet Spin Structure Functiong1NS(x,t)Up to NLO in the DGLAP Approach at Small