SCET factorization and one-loop matching for polarized DIS g1(x), g2(x) as x approaches 1, including anomalous dimensions and twist-three operator relations.
Spin Structure Function $g_2$ and Twist-3 Operators in QCD
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abstract
We investigate the spin structure function $g_2 (x, Q^2 )$ in the framework of the operator product expansion and the renormalization group. The twist-3 operators appearing in QCD are examined and their relations are studied. It is noted that operators proportional to equation of motion appear in the operator mixing through renormalization, which can be studied from the relevant Green's functions. We also note that the coefficient functions can be properly fixed after the choice of independent operators.
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Polarized Deep Inelastic Scattering as $x \to 1$ using Soft Collinear Effective Theory
SCET factorization and one-loop matching for polarized DIS g1(x), g2(x) as x approaches 1, including anomalous dimensions and twist-three operator relations.