Thermal quarkonium mass shift from Euclidean correlators

Eller, Alexander M.; Ghiglieri, Jacopo

doi:10.1103/physrevd.99.094042

Cited by 23 publications

(15 citation statements)

References 51 publications

(66 reference statements)

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“…At this stage, we would like to emphasize that the correlator in eq. (1.1) for bound state formation and dissociation is different from the well-studied electric field correlator for the heavy quark diffusion coefficient [74][75][76][77],…”

Section: Introductionmentioning

confidence: 58%

“…The non-Abelian electric field correlator studied here is for bound state formation and dissociation and different from the one for the heavy quark diffusion coefficient [74][75][76][77], though coincidentally the finite temperature parts agree at NLO (the vacuum parts differ). Our NLO perturbative calculation is the first systematic and rigorous study of this non-Abelian electric field correlator at finite frequency.…”

Section: Jhep01(2022)137mentioning

confidence: 77%

See 1 more Smart Citation

Non-Abelian electric field correlator at NLO for dark matter relic abundance and quarkonium transport

Binder

Mukaida

Scheihing-Hitschfeld

et al. 2022

J. High Energ. Phys.

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We perform a complete next-to-leading order calculation of the non-Abelian electric field correlator in a SU(Nc) plasma, which encodes properties of the plasma relevant for heavy particle bound state formation and dissociation, and is different from the correlator for the heavy quark diffusion coefficient. The calculation is carried out in the real-time formalism of thermal field theory and includes both vacuum and finite temperature contributions. By working in the Rξ gauge, we explicitly show the results are gauge independent, infrared and collinear safe. The renormalization group equation of this electric field correlator is determined by that of the strong coupling constant. Our next-to-leading order calculation can be directly applied to any dipole singlet-adjoint transition of heavy particle pairs. For example, it can be used to describe dissociation and (re)generation of heavy quarkonia inside the quark-gluon plasma well below the melting temperature, as well as heavy dark matter pairs (or charged co-annihilating partners) in the early universe.

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Section: Introductionmentioning

confidence: 58%

Section: Jhep01(2022)137mentioning

confidence: 77%

Non-Abelian electric field correlator at NLO for dark matter relic abundance and quarkonium transport

Binder

Mukaida

Scheihing-Hitschfeld

et al. 2022

J. High Energ. Phys.

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show abstract

“…Note added: While finishing this paper, we became aware of the preprint of A. M. Eller, J. Ghiglieri and G. D. Moore "Thermal quarkonium mass shift from Euclidean correlators" [44] that proposes a way to determine γ directly from a proper Euclidean correlator. We thank the authors for sharing with us their results prior of publication.…”

Section: Discussionmentioning

confidence: 99%

Transport coefficients from in-medium quarkonium dynamics

et al. 2019

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The in medium dynamics of heavy particles are governed by transport coefficients. The heavy quark momentum diffusion coefficient, κ, is an object of special interest in the literature, but one which has proven notoriously difficult to estimate, despite the fact that it has been computed by weak-coupling methods at next-to-leading order accuracy, and by lattice simulations of the pure SU(3) gauge theory. Another coefficient, γ, has been recently identified. It can be understood as the dispersive counterpart of κ. Little is known about γ. Both κ and γ are, however, of foremost importance in heavy quarkonium physics as they entirely determine the in and out of equilibrium dynamics of quarkonium in a medium, if the evolution of the density matrix is Markovian, and the motion, quantum Brownian; the medium could be a strongly or weakly coupled plasma. In this paper, using the relation between κ, γ and the quarkonium in medium width and mass shift respectively, we evaluate the two coefficients from existing 2+1 flavor lattice QCD data. The resulting range for κ is consistent with earlier determinations, the one for γ is the first non-perturbative determination of this quantity.

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“…[28], and physical insight could be obtained from classical lattice gauge theory simulations [29,30]. Finally, it might be worth considering whether the colour-magnetic correlator captures some dispersive effects as well, in analogy with the colour-electric one [31].…”

Section: Jhep12(2020)150 5 Conclusion and Outlookmentioning

confidence: 99%

Mass-suppressed effects in heavy quark diffusion

Bouttefeux

Laine

2020

J. High Energ. Phys.

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Many lattice studies of heavy quark diffusion originate from a colour-electric correlator, obtained as a leading term after an expansion in the inverse of the heavy-quark mass. In view of the fact that the charm quark is not particularly heavy, we consider subleading terms in the expansion. Working out correlators up to $$ \mathcal{O} $$ O (1/M2), we argue that the leading corrections are suppressed by $$ \mathcal{O} $$ O (T/M), and one of them can be extracted from a colour-magnetic correlator. The corresponding transport coefficient is non-perturbative already at leading order in the weak-coupling expansion, and therefore requires a nonperturbative determination.

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Thermal quarkonium mass shift from Euclidean correlators

Cited by 23 publications

References 51 publications

Non-Abelian electric field correlator at NLO for dark matter relic abundance and quarkonium transport

Non-Abelian electric field correlator at NLO for dark matter relic abundance and quarkonium transport

Transport coefficients from in-medium quarkonium dynamics

Mass-suppressed effects in heavy quark diffusion

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