Nucleon spin structure functions, considering target mass correction, and higher twist effects at the NNLO accuracy and their transverse momentum dependence

The effect of light sea quark symmetry breaking on polarized nucleus and sum rules

“…Considering the symmetry of light sea quarks, ELT sum rule can be written as polarized structure functions in NLO and NNLO approximation from Refs. [1,5] and [2] compared with E142 [8] and JLAB [9] experimental data (left), 3 1 polarized structure functions in NLO and NNLO approximation from Refs. [1,5] and [2] (right).…”

“…There is no experimental data for 3 1 to compare with curves but the difference between the curves is noticeable. Figure 2 shows the comparison of 2 3 1 polarized structure function with E142 [8], JLAB04 [9], JLAB03 [10] and JLAB16 [11] polarized structure functions in NLO and NNLO approximation from Refs. [1,5] and [2] compared with E142 [8], JLAB04 [9], JLAB03 [10] and JLAB16 [11] experimental data.…”

“…where M [ 1 , + 2] is the moment of polarized structure function, ( ) is expansion coefficient, = 9 , and = 3, = 0.5. The nuclei of Helium-3 3 and Tritium 3 are trivalent light nuclei that consist of two protons plus one neutron and two neutrons plus one proton respectively. The higher states ′ and of their wave function can be found in a more realistic definition than the ground state level.…”

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The polarized structure functions of 3 and 3 nuclei are calculated in NLO approximation, considering and disregarding the light sea quark symmetry breaking. We employ the polarized structure function of the nucleons within the nucleus extracted from our two recent analysis on polarized DIS data and on polarized DIS+SIDIS data.

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The effect of light sea quark symmetry breaking on polarized nucleus and sum rules

“…For instance it provides precise information about the distribution of the total spin of nucleons and nuclei on their content partons. In theoretical framework the next to leading order approximation of polarized structure function 𝑥𝑔 1 (𝑥, 𝑄 2 ) in Bjorken 𝑥 space can be constructed based on the method of Jacobi polynomial Θ 𝛼,𝛽 𝑛 (𝑥) expansion [1][2][3]…”