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

Abstract

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:

Bailey, Jon A. ^[1]; DeTar, Carleton  ^[2];

• Search DOE PAGES for author "DeTar, Carleton"
• Search DOE PAGES for ORCID "0000-0002-0216-6771"

Jang, Yong -Chull ^[3]; Kronfeld, Andreas S.  ^[4];

• Search DOE PAGES for author "Kronfeld, Andreas S."
• Search DOE PAGES for ORCID "0000-0003-2716-1149"

Lee, Weonjong  ^[1];

• Search DOE PAGES for author "Lee, Weonjong"
• Search DOE PAGES for ORCID "0000-0002-9040-4134"

Oktay, Mehmet B. ^[5]

---

+ Show Author Affiliations

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:

Wed Nov 15 00:00:00 EST 2017

Research Org.:

Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

Sponsoring Org.:

USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:

1345610

Report Number(s):

FERMILAB-PUB-17-001-T; arXiv:1701.00345
Journal ID: ISSN 1434-6044; 1507471

Grant/Contract Number:  

AC02-07CH11359

Resource 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

Country of Publication:

United States

Language:

English

Subject:

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS