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Title: Heavy-quark meson spectrum tests of the Oktay–Kronfeld action

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.
Authors:
 [1] ; ORCiD logo [2] ;  [3] ; ORCiD logo [4] ; ORCiD logo [1] ;  [5]
  1. Seoul National Univ., Seoul (South Korea)
  2. Univ. of Utah, Salt Lake City, UT (United States)
  3. Seoul National Univ., Seoul (South Korea); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  4. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Technische Univ. Munchen, Garching (Germany)
  5. Univ. of Utah, Salt Lake City, UT (United States); Univ. of Iowa, Iowa City, IA (United States)
Publication Date:
Report Number(s):
FERMILAB-PUB-17-001-T; arXiv:1701.00345
Journal ID: ISSN 1434-6044; 1507471
Grant/Contract Number:
AC02-07CH11359
Type:
Accepted Manuscript
Journal Name:
European Physical Journal. C, Particles and Fields
Additional Journal Information:
Journal Volume: 77; Journal Issue: 11; Journal ID: ISSN 1434-6044
Publisher:
Springer
Research Org:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1345610