External operators and anomalous dimensions in soft collinear effective theory

Sep, 2003
15 pages
Published in:
  • Phys.Rev.D 69 (2004) 034013
e-Print:
Report number:
  • SLAC-PUB-10166,
  • CLNS-03-1843

Citations per year

200320082013201820230246810
Abstract:
It has recently been argued that soft-collinear effective theory for processes involving both soft and collinear partons contains a new soft-collinear mode, which can communicate between the soft and collinear sectors of the theory. The formalism incorporating the corresponding fields into the effective Lagrangian is extended to include external current and four-quark operators relevant to weak interactions. An explicit calculation of the anomalous dimensions of these operators reveals that soft-collinear modes are needed for correctly describing the ultraviolet behavior of the effective theory.
  • 12.39.St
  • 13.25.Hw
  • 12.39.Hg
  • B: hadronic decay
  • decay: exclusive reaction
  • effective Lagrangian
  • operator: external
  • dimension: anomaly
  • operator: (4quark)
  • current: external