Anomalous dimension of subleading-power ${N}$-jet operators II

Understand

We continue the investigation of the anomalous dimension of subleading-power $N$-jet operators.

• In this paper, we focus on the operators with fermion number one in each collinear direction, corresponding to quark (antiquark) initiated jets in QCD.
• We investigate the renormalization effects induced by the soft loop and compute the one-loop mixing of time-ordered products involving power-suppressed SCET Lagrangian insertions into $N$-jet currents through soft loops.
• We discuss fermion number conservation in collinear directions and provide explicit results for the collinear anomalous dimension matrix of the currents.