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Coulomb artifacts and bottomonium hyperfine splitting in lattice NRQCD

Liu, T.; Penin, A. A.; Rayyan, A.

We study the role of the lattice artifacts associated with the Coulomb binding effects in the analysis of the heavy quarkonium within lattice NRQCD. We find that a “na¨ıve” perturbative matching generates spurious linear Coulomb artifacts, which result in a large systematic error in the lattice predictions for the heavy quarkonium spectrum. This effect is responsible, in particular, for the discrepancy between the recent determinations of the bottomonium hyperfine splitting in the radiatively improved lattice NRQCD [1, 2]. We show that the correct matching procedure which provides full control over discretization errors is based on the asymptotic expansion of the lattice theory about the continuum limit, which gives MY(1S) − Mηb(1S) = 52.9 ± 5.5 MeV [1].

Zugehörige Institution(en) am KIT Institut für Theoretische Teilchenphysik (TTP)
Publikationstyp Zeitschriftenaufsatz
Jahr 2017
Sprache Englisch
Identifikator DOI: 10.1007/JHEP02(2017)084
ISSN: 1029-8479, 1126-6708
URN: urn:nbn:de:swb:90-672991
KITopen ID: 1000067299
Erschienen in Journal of high energy physics
Band 2017
Heft 2
Seiten 84
Lizenz CC BY 4.0: Creative Commons Namensnennung 4.0 International
Bemerkung zur Veröffentlichung Gefördert durch SCOAP3
Schlagworte QCD Phenomenology
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