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≤8. Comparing to the current literature, our results for NRQED agree for d≤8, but there are some discrepancies in NRQCD/HQET at d=7 and 8.
@article{arxiv.1704.00008,
title = {Hilbert Series and Operator Basis for NRQED and NRQCD/HQET},
author = {Andrew Kobach and Sridip Pal},
journal= {arXiv preprint arXiv:1704.00008},
year = {2017}
}
Comments
13 pages, 1 figure, 3 tables. Minor typographical errors corrected