Two-loop thermal spectral functions with general kinematics

Jackson, G.

doi:10.1103/physrevd.100.116019

Cited by 26 publications

(26 citation statements)

References 35 publications

(88 reference statements)

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“…Thus it is clear that the structure functions of free quarks in the DIS regime are unstable against 'turning on' their interactions. Clearly, this issue deserves further investigation, which could be carried out with the help of the next-to-leading results [25,26] for the vector spectral functions. We also conclude from these remarks that the content of the moment sum rules is far from trivial, and could be used to test future weak-coupling calculations of the thermal JHEP03(2021)035 spectral functions, including the sophisticated resummations performed in this context; see references [27][28][29] for the case of vanishing virtuality.…”

Section: Jhep03(2021)035 6 Conclusion and Outlookmentioning

confidence: 99%

Deep inelastic scattering on the quark-gluon plasma

Cè

Harris

Meyer

et al. 2021

J. High Energ. Phys.

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We provide an interpretation of the structure functions of a thermal medium such as the quark-gluon plasma in terms of the scattering of an incoming electron on the medium via the exchange of a spacelike photon. We then focus on the deep-inelastic scattering (DIS) regime, and formulate the corresponding moment sum rules obeyed by the structure functions. Accordingly, these moments are given by the thermal expectation value of twist-two operators, which is computable from first principles in lattice QCD for the first few moments. We also show how lattice QCD calculations can be used to probe how large the photon virtuality needs to be in order for the Bjorken scaling of structure functions to set in. Finally, we provide the parton-model interpretation of the structure functions in the Bjorken limit and test its consistency. As in DIS on the proton, the kinematic variable x is proportional to the longitudinal momentum carried by the partons, however x ranges from zero to infinity. Choosing the parton momentum parametrization to be xT u where u is the fluid four-velocity and T its temperature in the rest frame, the parton distribution function for a plasma of non-interacting quarks is proportional to x log(1 + e−x/2).

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Section: Jhep03(2021)035 6 Conclusion and Outlookmentioning

confidence: 99%

Deep inelastic scattering on the quark-gluon plasma

Cè

Harris

Meyer

et al. 2021

J. High Energ. Phys.

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“…These efforts ultimately culminated in the results found in Refs. [11,12] where using the NLO pQCD EM spectral function was devised combining results both above and below the light cone, as well as employing longitudinal and transverse channels with respect to spatial momentum. Using these new developments, Ref.…”

Section: In-equilibrium Electromagnetic Ratesmentioning

confidence: 99%

Learning about the QCD medium using electromagnetic and weak probes

Vujanovic¹

2021

Proceedings of 10th International Conference on Hard and Electromagnetic Probes of High-Energy Nuclear Collisions — PoS(HardPro

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Recent theoretical developments concerning radiation of electromagnetic and weak probes in ultra-relativistic heavy-ion collisions are reviewed. These proceedings focus on electromagnetic probes and briefly cover weak probes. An outlook regarding the future use of electromagnetic probes is formulated whereby a quantitative Bayesian comparison, simultaneously employing electromagnetic and hadronic calculations of experimental observables against data, is highlighted as a path towards a better understanding of the properties of the QCD medium.

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“…1 There should be no technical obstacle to fully including the 2 ↔ 2 scatterings. In fact, if all plasma particles can be treated as massless whereas the particle of interest is relativistic, with a mass M ∼ πT , then 2 ↔ 2, 1 ↔ 3, as well as the corresponding virtual corrections to 1 ↔ 2 interaction rates, can be reduced to a convergent two-dimensional integral representation [17][18][19]. However, this has not been worked out for a massive and/or charge-asymmetric plasma; furthermore, the handling of any new functional form of a matrix element squared requires substantial hand work.…”

Section: Introductionmentioning

confidence: 99%

Efficient numerical integration of thermal interaction rates

Jackson

Laine

2021

J. High Energ. Phys.

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In many problems in particle cosmology, interaction rates are dominated by 2 ↔ 2 scatterings, or get a substantial contribution from them, given that 1 ↔ 2 and 1 ↔ 3 reactions are phase-space suppressed. We describe an algorithm to represent, regularize, and evaluate a class of thermal 2 ↔ 2 and 1 ↔ 3 interaction rates for general momenta, masses, chemical potentials, and helicity projections. A key ingredient is an automated inclusion of virtual corrections to 1 ↔ 2 scatterings, which eliminate logarithmic and double-logarithmic IR divergences from the real 2 ↔ 2 and 1 ↔ 3 processes. We also review thermal and chemical potential induced contributions that require resummation if plasma particles are ultrarelativistic.

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Two-loop thermal spectral functions with general kinematics

Cited by 26 publications

References 35 publications

Deep inelastic scattering on the quark-gluon plasma

Deep inelastic scattering on the quark-gluon plasma

Learning about the QCD medium using electromagnetic and weak probes

Efficient numerical integration of thermal interaction rates

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