Thermal quarkonium physics in the pseudoscalar channel

Y. Burnier , H.-T. Ding , O. Kaczmarek , A.-L. Kruse , M. Laine , H. Ohno , H. Sandmeyer

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classification ✦ hep-lat hep-ph

keywords latticedatathermalabovefunctionpeakpseudoscalarquarkonium

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The pseudoscalar correlator is an ideal lattice probe for thermal modifications to quarkonium spectra, given that it is not compromised by a contribution from a large transport peak. We construct a perturbative spectral function incorporating resummed thermal effects around the threshold and vacuum asymptotics above the threshold, and compare the corresponding imaginary-time correlators with continuum-extrapolated lattice data for quenched SU(3) at several temperatures. Modest differences are observed, which may originate from non-perturbative mass shifts or renormalization factors, however no resonance peaks are needed for describing the quenched lattice data for charmonium at and above T ~ 1.1Tc ~ 350 MeV. For comparison, in the bottomonium case a good description of the lattice data is obtained with a spectral function containing a single thermally broadened resonance peak.

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