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Constraint equations for heavy-to-light currents in SCET

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arxiv hep-ph/0508214 v1 pith:VJSSVYHX submitted 2005-08-22 hep-ph

Constraint equations for heavy-to-light currents in SCET

classification hep-ph
keywords constraintcurrentsequationsheavy-to-lightinvariancereparameterizationwilsonallowed
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A complete basis for the next-to-next-to leading order heavy-to-light currents in the soft-collinear effective theory is constructed. Reparameterization invariance is imposed by deriving constraint equations. Their solutions give the set of allowed Dirac structures as well as relations between the Wilson coefficients of operators that appear at different orders in the power expansion. The completeness of reparameterization invariance constraints derived on a projected surface is investigated. We also discuss the universality of the ultrasoft Wilson line with boundary conditions.

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