Update on heavy-meson spectrum tests of the oktay-kronfeld action

Jon A. Bailey, Yong Chull Jang, Weonjong Lee, Carleton Detar, Andreas S. Kronfeld, Mehmet B. Oktay

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We present updated results of a numerical improvement test with heavy-meson spectrum for the Oktay-Kronfeld (OK) action. The OK action is an extension of the Fermilab improvement program for massiveWilson fermions including all dimension-six and some dimension-seven bilinear terms. Improvement terms are truncated by HQET power counting at O(Λ3 =m3Q) for heavy-light systems, and by NRQCD power counting at O(v6 ) for quarkonium. They suffice for tree-level matching to QCD to the given order in the power-counting schemes. To assess the improvement, we generate new data with the OK and Fermilab action that covers both charm and bottom quark mass regions on a MILC coarse (a ≈ 0:12 fm) 2+1 flavor, asqtad-staggered ensemble. We update the analyses of the inconsistency quantity and the hyperfine splittings for the rest and kinetic masses. With one exception, the results clearly show that the OK action significantly reduces heavy-quark discretization effects in the meson spectrum. The exception is the hyperfine splitting of the heavy-light system near the Bs meson mass, where statistics are too low to draw a firm conclusion, despite promising results.

Original languageEnglish
Article number099
JournalProceedings of Science
Publication statusPublished - 2015
Event33rd International Symposium on Lattice Field Theory, LATTICE 2015 - Kobe, Japan
Duration: 2015 Jul 142015 Jul 18

Bibliographical note

Funding Information:
J.A.B. is supported by the Basic Science Research Program of the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2015024974). C.D. is supported in part by the U.S. Department of Energy under grant No. DE-FC02-12ER-41879 and the U.S. National Science Foundation under grant PHY10-034278. A.S.K. is supported in part by the German Excellence Initiative and the European Union Seventh Framework Programme under grant agreement No. 291763 as well as the European Union’s Marie Curie COFUND program. Fermilab is operated by Fermi Research Alliance, LLC, under Contract No. DE-AC02-07CH11359 with the U.S. Department of Energy. The research of W.L. is supported by the Creative Research Initiatives Program (No. 2015001776) of the NRF grant funded by the Korean government (MEST). W. L. would like to acknowledge the support from KISTI supercomputing center through the strategic support program for the supercomputing application research [No. KSC-2014-G3-002]. The computations were carried out in part on the DAVID GPU clusters at Seoul National University.

All Science Journal Classification (ASJC) codes

  • General


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