External Operators and Anomalous Dimensions in Soft-Collinear Effective Theory

Bjoern O. Lange (Cornell U.); Matthias Neubert (Cornell U.); Richard J. Hill (SLAC); Thomas Becher (SLAC)

External Operators and Anomalous Dimensions in Soft-Collinear Effective Theory

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arxiv hep-ph/0309227 v1 pith:EBDYYEUT submitted 2003-09-19 hep-ph

Thomas Becher (SLAC) , Richard J. Hill (SLAC) , Bjoern O. Lange (Cornell U.) , Matthias Neubert (Cornell U.) This is my paper · ORCID

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keywords effectivesoft-collineartheoryoperatorsanomalouscollineardimensionsexternal

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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.

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Infrared Singularities of Scattering Amplitudes and N$^3$LL Resummation for $n$-Jet Processes
hep-ph 2019-08 accept novelty 7.0 of 10

At four-loop order, the soft anomalous dimension for massless n-particle amplitudes contains d_R^{abcd} color structures multiplied by cusp logarithms, which breaks naive Casimir scaling but preserves a generalized scaling.

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