Heavy-quark meson spectrum tests of the Oktay–Kronfeld action
[2];
[4];
[1];
- Seoul National Univ., Seoul (South Korea)
- Univ. of Utah, Salt Lake City, UT (United States)
- Seoul National Univ., Seoul (South Korea); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Technische Univ. Munchen, Garching (Germany)
- Univ. of Utah, Salt Lake City, UT (United States); Univ. of Iowa, Iowa City, IA (United States)
The Oktay-Kronfeld (OK) action extends the Fermilab improvement program for massive Wilson fermions to higher order in suitable power-counting schemes. It includes dimension-six and -seven operators necessary for matching to QCD through order $${\mathrm{O}}(\Lambda^3/m_Q^3)$$ in HQET power counting, for applications to heavy-light systems, and $${\mathrm{O}}(v^6)$$ in NRQCD power counting, for applications to quarkonia. In the Symanzik power counting of lattice gauge theory near the continuum limit, the OK action includes all $${\mathrm{O}}(a^2)$$ and some $${\mathrm{O}}(a^3)$$ terms. To assess whether the theoretical improvement is realized in practice, we study combinations of heavy-strange and quarkonia masses and mass splittings, designed to isolate heavy-quark discretization effects. We find that, with one exception, the results obtained with the tree-level-matched OK action are significantly closer to the continuum limit than the results obtained with the Fermilab action. The exception is the hyperfine splitting of the bottom-strange system, for which our statistical errors are too large to draw a firm conclusion. Lastly, these studies are carried out with data generated with the tadpole-improved Fermilab and OK actions on 500 gauge configurations from one of MILC's $$a\approx0.12$$~fm, $$N_f=2+1$$-flavor, asqtad-staggered ensembles.
- Research Organization:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- Grant/Contract Number:
- AC02-07CH11359
- OSTI ID:
- 1345610
- Report Number(s):
- FERMILAB-PUB-17-001-T; arXiv:1701.00345; 1507471
- Journal Information:
- European Physical Journal. C, Particles and Fields, Vol. 77, Issue 11; ISSN 1434-6044
- Publisher:
- SpringerCopyright Statement
- Country of Publication:
- United States
- Language:
- English
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