Thermal quarkonium physics in the pseudoscalar channel

Abstract

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.

arXiv comment28 pages. v2: published version

References in corpus (64)

• A New Way to Set the Energy Scale in Lattice Gauge Theories and its Application to the Static Force and ${\alpha }_s$ in SU(2) Yang--Mills Theory
• Chiral symmetry and O(a) improvement in lattice QCD
• Five-Loop Running of the QCD coupling constant
• Non-perturbative O(a) improvement of lattice QCD
• The renormalization of the axial anomaly in dimensional regularization
• Real-time static potential in hot QCD
• The three loop relation between the \bar {MS} and the pole quark masses
• Static quark-antiquark pairs at finite temperature
• The Nf=0 heavy quark potential from short to intermediate distances
• The static potential in QCD to two loops
• The five-loop beta function of Yang-Mills theory with fermions
• Non-perturbative quark mass renormalization in quenched lattice QCD
• Critical slowing down and error analysis in lattice QCD simulations
• Precision computation of a low-energy reference scale in quenched lattice QCD
• Real and imaginary-time $Q\bar{Q}$ correlators in a thermal medium
• Two-loop two-point functions with masses: asymptotic expansions and Taylor series, in any dimension
• Heavy Quark Momentum Diffusion Coefficient from Lattice QCD
• Further results on O(a) improved lattice QCD to one-loop order of perturbation theory
• Charmonium properties in hot quenched lattice QCD
• Two-loop QCD gauge coupling at high temperatures
• Quark Mass and Field Anomalous Dimensions to $\mathcal{O}({\alpha }_s^5)$
• A non-perturbative estimate of the heavy quark momentum diffusion coefficient
• Static quark-antiquark potential in the quark-gluon plasma from lattice QCD
• Heavy Quark Current Correlators to O(α_s^2)
• Renormalized Polyakov loops in many representations
• Quarkonia in the Quark Gluon Plasma
• Heavy Quark Diffusion from the Lattice
• Continuum and lattice meson spectral functions at nonzero momentum and high temperature
• $\overline{\mathrm{MS}}$-on-shell quark mass relation up to four loops in QCD and a general SU$(N)$ gauge group
• Heavy quarkonium in any channel in resummed hot QCD
• Reconstruction of heavy quark current correlators at O(α_s^3)
• Five-loop quark mass and field anomalous dimensions for a general gauge group
• Asymptotics of thermal spectral functions
• Non-relativistic bound states at finite temperature (I): the hydrogen atom
• Constant contribution in meson correlators at finite temperature
• The bottomonium spectrum at finite temperature from $N_f=2+1$ lattice QCD
• Renormalisation and off-shell improvement in lattice perturbation theory
• Infinite temperature limit of meson spectral functions calculated on the lattice
• Quarkonium at finite temperature: Towards realistic phenomenology from first principles
• Critical point and scale setting in SU(3) plasma: An update
• Perturbative and Nonperturbative Renormalization in Lattice QCD
• Heavy Quark Vacuum Polarization Function at O(alpha_s^2) and O(alpha_s^3)
• The bottom-quark mass from non-relativistic sum rules at NNNLO
• Lattice NRQCD study of S- and P-wave bottomonium states in a thermal medium with $N_f=2+1$ light flavors
• Analytic three-loop static potential
• Charmonium spectral functions from 2+1 flavour lattice QCD
• Stochastic locality and master-field simulations of very large lattices
• Heavy quarkonium correlators at finite temperature: QCD sum rule approach
• Higgs Decay to Top Quarks at O(α_s^2)
• Two-Loop Matching Coefficients for Heavy Quark Currents
• Heavy quark medium polarization at next-to-leading order
• Non-perturbative determination of improvement coefficients using coordinate space correlators in $N_f=2+1$ lattice QCD
• Non-perturbative determination of improvement coefficients using coordinate space correlators in $N_f=2+1$ lattice QCD
• Two-loop renormalization of scalar and pseudoscalar fermion bilinears on the lattice
• Massive vector current correlator in thermal QCD
• Debye screening mass of hot Yang-Mills theory to three-loop order
• In-medium dispersion relations of charmonia studied by maximum entropy method
• In-medium P-wave quarkonium from the complex lattice QCD potential
• Analytic Calculation of Two Loop Corrections to Heavy Quark Pair Production Vertices Induced by Light Quarks
• On dissociation of heavy mesons in a hot quark-gluon plasma
• Low- and High-Energy Expansion of Heavy-Quark Correlators at Next-To-Next-To-Leading Order
• Charm mass effects in bulk channel correlations
• Temporal mesonic correlators at NLO for any quark mass
• Quarkonium spectral function in medium at next-to-leading order for any quark mass

Cited by in corpus (29)

• Heavy Quarkonium in Extreme Conditions
• Heavy quark momentum diffusion from the lattice using gradient flow
• Quarkonium in-medium properties from realistic lattice NRQCD
• New developments in lattice QCD on equilibrium physics and phase diagram
• The sphaleron rate from Euclidean lattice correlators: an exploration
• Lattice study of a magnetic contribution to heavy quark momentum diffusion
• Stochastic reconstructions of spectral functions: Application to lattice QCD
• Viscosity of pure-glue QCD from the lattice
• Inverse problems, real-time dynamics and lattice simulations
• Bayesian inference of real-time dynamics from lattice QCD
• The Sphaleron Rate from 4D Euclidean Lattices
• Spectral and transport properties from lattice QCD
• Studies of a thermally averaged p-wave Sommerfeld factor
• Proper static potential in classical lattice gauge theory at finite T
• Charm and beauty in the deconfined plasma from quenched lattice QCD
• Localised Dirac eigenmodes, chiral symmetry breaking, and Goldstone's theorem at finite temperature
• Black hole solutions in modified gravity induced by quantum metric fluctuations
• Localisation of Dirac modes in gauge theories and Goldstone's theorem at finite temperature
• Lattice $B$-field correlators for heavy quarks
• Open-charm Euclidean correlators within heavy-meson EFT interactions
• Insight into thermal modifications of quarkonia from a comparison of continuum-extrapolated lattice results to perturbative QCD${}^{†}$
• Static quark anti-quark interactions at non-zero temperature from lattice QCD
• Study of quarkonium in QGP from unquenched lattice QCD
• Multicanonical reweighting for the QCD topological susceptibility
• Finite Temperature Quarkonia Spectral Functions in the Pseudoscalar Channel
• Thermal modifications of quarkonia and heavy quark diffusion from a comparison of continuum-extrapolated lattice results to perturbative QCD
• Color-electric correlation functions under gradient flow
• Shear and bulk viscosities of the gluon plasma across the transition temperature from lattice QCD
• Euclidean correlation functions of the topological charge density