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.
Renormalization of Subleading Dijet Operators in Soft-Collinear Effective Theory
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abstract
We calculate the anomalous dimensions of the next-to-leading order dijet operators in soft-collinear effective theory (SCET). We use a formulation of SCET where the Lagrangian is multiple copies of QCD and the interactions between sectors occur through light-like Wilson lines in external currents. We introduce a small gluon mass to regulate the infrared divergences of the individual loop diagrams in order to properly extract the ultraviolet divergences. We discuss this choice of infrared regulator and contrast it with the $\delta$-regulator. Our results can be used to increase the theoretical precision of the thrust distribution.
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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.