Heavy-Meson Spectrum Tests of the Oktay--Kronfeld Action

We present heavy-meson spectrum results obtained using the Oktay--Kronfeld (OK) action on MILC asqtad lattices. The OK action was designed to improve the heavy-quark action of the Fermilab formulation, such that heavy-quark discretization errors are reduced. The OK action includes dimension-6 and -7...

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Bibliographic Details
Published in:arXiv.org 2014-11
Main Authors: Bailey, Jon A, Yong-Chull Jang, Lee, Weonjong, DeTar, Carleton, Kronfeld, Andreas S, Oktay, Mehmet B, Lattice, Fermilab, MILC, Collaborations, SWME
Format: Article
Language:English
Subjects:
Lattices (mathematics)
Mesons
Quarks
Online Access:Get full text
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Summary:We present heavy-meson spectrum results obtained using the Oktay--Kronfeld (OK) action on MILC asqtad lattices. The OK action was designed to improve the heavy-quark action of the Fermilab formulation, such that heavy-quark discretization errors are reduced. The OK action includes dimension-6 and -7 operators necessary for tree-level matching to QCD through order \(\mathrm{O}(\Lambda^3/m_Q^3)\) for heavy-light mesons and \(\mathrm{O}(v^6)\) for quarkonium, or, equivalently, through \(\mathrm{O}(a^2)\) with some \(\mathrm{O}(a^3)\) terms with Symanzik power counting. To assess the improvement, we extend previous numerical tests with heavy-meson masses by analyzing data generated on a finer (\(a \approx 0.12\;\)fm) lattice with the correct tadpole factors for the \(c_5\) term in the action. We update the analyses of the inconsistency parameter and the hyperfine splittings for the rest and kinetic masses.
ISSN:2331-8422