Nonperturbative estimate of the heavy quark momentum diffusion coefficient

Francis, Anthony; Kaczmarek, Olaf; Laine, M.; Neuhaus, T.; Ohno, Hiroshi

doi:10.1103/physrevd.92.116003

Cited by 155 publications

(228 citation statements)

References 58 publications

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“…With the above functions, we can write the evolution equations (38) and (39) in the Lindblad form (46). In addition to the Hermitian Lindblad operator H,…”

Section: A Resultsmentioning

confidence: 99%

“…3. The interpretation of the functions appearing in (38) and (39) is clear. The self energies Σ s and Σ o provide the in-medium induced mass shifts, δm s,o , and widths, Γ s,o , for the color-singlet and color-octet heavy quark-antiquark systems, respectively:…”

Section: B Evolution Equationsmentioning

confidence: 99%

“…An additional motivation for this redefinition is to obtain a system that can be solved using a Lindblad equation. We show in Appendix D that, in general, (38) and (39) are not positive, and hence cannot be written in the Lindblad form. However, if we consider a medium that changes from thermal equilibrium in a quasistatic way, and an evolution time large enough so that Σ s only depends on the medium through the temperature (see the discussion at the end of Sec.…”

Section: Quarkonium In a Weakly-coupled Plasma: 1/a0 ≫ T ≫ E ≫ MDmentioning

confidence: 99%

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Heavy quarkonium suppression in a fireball

Escobedo¹

2016

AIP Conference Proceedings

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We perform a comprehensive study of the time evolution of heavy-quarkonium states in an expanding hot QCD medium by implementing effective field theory techniques in the framework of open quantum systems. The formalism incorporates quarkonium production and its subsequent evolution in the fireball including quarkonium dissociation and recombination. We consider a fireball with a local temperature that is much smaller than the inverse size of the quarkonium and much larger than its binding energy. The calculation is performed at an accuracy that is leading-order in the heavy-quark density expansion and next-to-leading order in the multipole expansion. Within this accuracy, for a smooth variation of the temperature and large times, the evolution equation can be written as a Lindblad equation. We solve the Lindblad equation numerically both for a weaklycoupled quark-gluon plasma and a strongly-coupled medium. As an application, we compute the nuclear modification factor for the Υ(1S) and Υ(2S) states. We also consider the case of static quarks, which can be solved analytically. Our study fulfills three essential conditions: it conserves the total number of heavy quarks, it accounts for the non-Abelian nature of QCD and it avoids classical approximations.

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“…With the above functions, we can write the evolution equations (38) and (39) in the Lindblad form (46). In addition to the Hermitian Lindblad operator H,…”

Section: A Resultsmentioning

confidence: 99%

Section: B Evolution Equationsmentioning

confidence: 99%

Section: Quarkonium In a Weakly-coupled Plasma: 1/a0 ≫ T ≫ E ≫ MDmentioning

confidence: 99%

See 1 more Smart Citation

Heavy quarkonium suppression in a fireball

Escobedo¹

2016

AIP Conference Proceedings

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“…For charm quarks this reasoning e.g. underlies the successful statistical model of hadronization [96], as well as estimates for the kinetic equilibration of heavy quarks [97] and is supported by the measurement of a finite elliptic flow for J/ψ mesons [98]. In the heavier bottomonium sector it is less clear how well a kinetic equilibration picture is applicable, in particular, since up to now observables that could indicate collective behavior have not been measured in detail.…”

Section: Implications For Heavy-ion Collisionsmentioning

confidence: 98%

In-medium P-wave quarkonium from the complex lattice QCD potential

Burnier¹,

Kaczmarek²,

Rothkopf³

2016

J. High Energ. Phys.

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We extend our lattice QCD potential based study [1] of the in-medium properties of heavy quark bound states to P-wave bottomonium and charmonium. Similar to the behavior found in the S-wave channel their spectra show a characteristic broadening, as well as mass shifts to lower energy with increasing temperature. In contrast to the S-wave states, finite angular momentum leads to the survival of spectral peaks even at temperatures, where the continuum threshold reaches below the bound state remnant mass. We elaborate on the ensuing challenges in defining quarkonium dissolution and present estimates of melting temperatures for the spin averaged χ b and χ c states. As an application to heavy-ion collisions we further estimate the contribution of feed down to S-wave quarkonium through the P-wave states after freezeout.

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“…In fact κ(t) is a quantity that is also important for heavy quark diffusion [33] and has recently be computed on the lattice [34]. In order to make some predictions we also need to give some initial conditions and some information about the thermal evolution of the medium.…”

Section: Towards a Computation Of Quarkonium Nuclear Modification Facmentioning

confidence: 99%

Effective Field Theories for heavy probes in a hot QCD plasma and in the early universe

Escobedo

2017

EPJ Web Conf.

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Abstract. There are many interesting problems in heavy-ion collisions and in cosmology that involve the interaction of a heavy particle with a medium. An example is the dissociation of heavy quarkonium seen in heavy-ion collisions. This was believed to be due to the screening of chromoelectric fields that prevents the heavy quarks from binding, however in the last years several perturbative and lattice computations have pointed out to the possibility that dissociation is due to the finite lifetime of a quarkonium state inside the medium. Regarding cosmology, the study of the behavior of heavy Majorana neutrinos in a hot medium is important to understand if this model can explain the origin of dark matter and the baryon asymmetry. A very convenient way of studying these problems is with the use of non-relativistic effective field theories (EFTs), this allows to make the computations in a more systematic way by defining a more suitable power counting and making it more difficult to miss necessary resummations. In this proceedings I will review the most important results obtained by applying the EFT formalism to the study of quarkonium suppression and Majorana neutrinos, I will also discuss how combining an EFT called potential non-relativistic QCD (pNRQCD) with concepts coming from the field of open quantum systems it is possible to understand how the population of the different quarkonium states evolve with time inside a thermal medium.

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Nonperturbative estimate of the heavy quark momentum diffusion coefficient

Cited by 155 publications

References 58 publications

Heavy quarkonium suppression in a fireball

Heavy quarkonium suppression in a fireball

In-medium P-wave quarkonium from the complex lattice QCD potential

Effective Field Theories for heavy probes in a hot QCD plasma and in the early universe

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