Poincare' invariance constraints on NRQCD and potential NRQCD

Abstract

We discuss the constraints induced by the algebra of the Poincare' generators on non-relativistic effective field theories. In the first part we derive some relations among the matching coefficients of the HQET (and NRQCD), which have been formerly obtained by use of reparametrization invariance. In the second part we obtain new constraints on the matching coefficients of pNRQCD.

17 pages, typo in Eq. (97) corrected

References in corpus (4)

• Soft-collinear effective theory and heavy-to-light currents beyond leading power
• Reparameterization Invariance for Collinear Operators
• Inclusive Decays of Heavy Quarkonium to Light Particles
• Poincare' invariance and the heavy-quark potential

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