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

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arxiv 1808.04742 v1 pith:C3H65P5H submitted 2018-08-14 hep-ph hep-th

classification hep-phhep-th
keywords anomalouscollineardimensionoperatorscurrentsfermionnumberpower-suppressed
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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. The Feynman rules for the power-suppressed SCET interactions in the position-space formalism are collected in an appendix.

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Cited by 10 Pith papers

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