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Reparameterization Invariance for Collinear Operators

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arxiv hep-ph/0204229 v1 pith:LXOMH2UC submitted 2002-04-19 hep-ph

classification hep-ph
keywords collinearoperatorseffectiveinvarianceorderrestrictionsscettheory
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We discuss restrictions on operators in the soft-collinear effective theory (SCET) which follow from the ambiguity in the decomposition of collinear momenta and the freedom in the choice of light-like basis vectors $n$ and $\bar n$. Invariance of SCET under small changes in $n$ and/or $\bar n$ implies a symmetry of the effective theory that constrains the form of allowed operators with collinear fields. The restrictions occur at a given order in the power counting as well as between different orders. As an example, we present the complete set of higher order operators that are related to the collinear quark kinetic term.

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Cited by 9 Pith papers

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