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arxiv 1702.08904 v3 pith:RMXEVMLN submitted 2017-02-28 hep-ph

On HQET and NRQCD Operators of Dimension 8 and Above

classification hep-ph
keywords nrqcdhqetoperatorseffectivefieldheavymethodnrqed
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Effective field theories such as Heavy Quark Effective Theory (HQET) and Non Relativistic Quantum Chromo-(Electro-) dynamics NRQCD (NRQED) are indispensable tools in controlling the effects of the strong interaction. The increasing experimental precision requires the knowledge of higher dimensional operators. We present a general method that allows for an easy construction of HQET or NRQCD (NRQED) operators that contain two heavy quark or non-relativistic fields and any number of covariant derivatives. As an application of our method, we list these terms in the $1/M^4$ NRQCD Lagrangian, where $M$ is the mass of of the spin-half field.

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Cited by 2 Pith papers

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  1. Predictions for $b$-baryon lifetimes at NNLO-QCD

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    NNLO-QCD corrections to the free b-quark decay and NLO corrections to dimension-five operators reduce uncertainties in HQE predictions for b-baryon lifetimes, yielding excellent agreement with experiment.

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    hep-ph 2025-12 unverdicted novelty 4.0

    Updated leading-order calculation of the complete non-local O1-O7 contribution to inclusive B-bar to Xs gamma decay, incorporating correlations with the local Voloshin term and revising its range.