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Hilbert Series and Operator Basis for NRQED and NRQCD/HQET

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arxiv 1704.00008 v2 pith:KBDUPEY3 submitted 2017-03-31 hep-ph

classification hep-ph
keywords hqetnrqcdnrqedbasishilbertoperatorseriesagree
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abstract

We use a Hilbert series to construct an operator basis in the $1/m$ expansion of a theory with a nonrelativistic heavy fermion in an electromagnetic (NRQED) or color gauge field (NRQCD/HQET). We present a list of effective operators with mass dimension $d\leq 8$. Comparing to the current literature, our results for NRQED agree for $d\leq 8$, but there are some discrepancies in NRQCD/HQET at $d=7$ and 8.

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Cited by 1 Pith paper

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  1. Reevaluating Uncertainties in $\bar B\to X_s\gamma$ Decay

    hep-ph 2019-08 conditional novelty 6.0 of 10

    New moment relations for the soft function g17, combined with a 2016 global fit of HQET parameters, tighten the resolved photon contribution to the B -> X_s gamma total rate to about [-0.3,+1.6]% but widen the CP-asym...

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