Power Counting in the Soft-Collinear Effective Theory

Authors:
  • CBChristian W. Bauer
    Christian W. Bauer
  • DPDan Pirjol
    Dan Pirjol
  • ISIain W. Stewart
    Iain W. Stewart
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Abstract
We describe in some detail the derivation of a power counting formula for the soft-collinear effective theory (SCET). This formula constrains which operators are required to correctly describe the infrared at any order in the Lambda_QCD/Q expansion (lambda expansion). The result assigns a unique lambda-dimension to graphs in SCET solely from vertices, and can be applied independent of the process. For processes with an OPE the lambda-dimension has a correspondence with dynamical twist.