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Hilbert Series and Operator Basis for NRQED and NRQCD/HQET · Around

2017

Hilbert Series and Operator Basis for NRQED and NRQCD/HQET

Kobach, Andrew, Pal, Sridip

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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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