Extraction of Structure Function and Gluon Distribution Function at Low-x from Cross Section Derivat

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An approximation method based on Regge behavior is presented. This new method relates the reduced cross section derivative and the structure function Regge behavior at Iow x. With the use of this approximation method,the C and λ parameters are calculated from the HERA reduced cross section data taken at low-x. Also, we calculate the structure functions F2(x, Q2) even for low-x values, which have not been investigated. To test the validity of calculated structure functions, we find the gluon distribution function in the Leading order approximation based on Regge behaviour of structure function and compare to the NLO QCD fit to H1 data and NLO parton distribution function.
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