Lattice study of a magnetic contribution to heavy quark momentum diffusion

Abstract Heavy quarks placed within a hot QCD medium undergo Brownian motion, characterized by specific transport coefficients. Their determination can be simplified by expanding them in T/M, where T is the temperature and M is a heavy quark mass. The leading term in the expansion originates from th...

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Main Authors: D. Banerjee, S. Datta, M. Laine
Format: Article
Language:English
Published: SpringerOpen 2022-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP08(2022)128
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author D. Banerjee
S. Datta
M. Laine
author_facet D. Banerjee
S. Datta
M. Laine
author_sort D. Banerjee
collection DOAJ
description Abstract Heavy quarks placed within a hot QCD medium undergo Brownian motion, characterized by specific transport coefficients. Their determination can be simplified by expanding them in T/M, where T is the temperature and M is a heavy quark mass. The leading term in the expansion originates from the colour-electric part of a Lorentz force, whereas the next-to-leading order involves the colour-magnetic part. We measure a colour-magnetic 2-point correlator in quenched QCD at T ∼ (1.2 − 2.0)T c. Employing multilevel techniques and non-perturbative renormalization, a good signal is obtained, and its continuum extrapolation can be estimated. Modelling the shape of the corresponding spectral function, we subsequently extract the momentum diffusion coefficient, κ. For charm (bottom) quarks, the magnetic contribution adds ∼ 30% (10%) to the electric one. The same increases apply also to the drag coefficient, η. As an aside, the colour-magnetic spectral function is computed at NLO.
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spelling doaj.art-cea15cf3e89044c0903dbb7a4fcda56c2022-12-22T02:45:52ZengSpringerOpenJournal of High Energy Physics1029-84792022-08-012022812310.1007/JHEP08(2022)128Lattice study of a magnetic contribution to heavy quark momentum diffusionD. Banerjee0S. Datta1M. Laine2Saha Institute of Nuclear PhysicsDepartment of Theoretical Physics, Tata Institute of Fundamental ResearchAEC, Institute for Theoretical Physics, University of BernAbstract Heavy quarks placed within a hot QCD medium undergo Brownian motion, characterized by specific transport coefficients. Their determination can be simplified by expanding them in T/M, where T is the temperature and M is a heavy quark mass. The leading term in the expansion originates from the colour-electric part of a Lorentz force, whereas the next-to-leading order involves the colour-magnetic part. We measure a colour-magnetic 2-point correlator in quenched QCD at T ∼ (1.2 − 2.0)T c. Employing multilevel techniques and non-perturbative renormalization, a good signal is obtained, and its continuum extrapolation can be estimated. Modelling the shape of the corresponding spectral function, we subsequently extract the momentum diffusion coefficient, κ. For charm (bottom) quarks, the magnetic contribution adds ∼ 30% (10%) to the electric one. The same increases apply also to the drag coefficient, η. As an aside, the colour-magnetic spectral function is computed at NLO.https://doi.org/10.1007/JHEP08(2022)128Non-Zero Temperature and DensityLattice QCDQuark-Gluon PlasmaEffective Field Theories of QCD
spellingShingle D. Banerjee
S. Datta
M. Laine
Lattice study of a magnetic contribution to heavy quark momentum diffusion
Journal of High Energy Physics
Non-Zero Temperature and Density
Lattice QCD
Quark-Gluon Plasma
Effective Field Theories of QCD
title Lattice study of a magnetic contribution to heavy quark momentum diffusion
title_full Lattice study of a magnetic contribution to heavy quark momentum diffusion
title_fullStr Lattice study of a magnetic contribution to heavy quark momentum diffusion
title_full_unstemmed Lattice study of a magnetic contribution to heavy quark momentum diffusion
title_short Lattice study of a magnetic contribution to heavy quark momentum diffusion
title_sort lattice study of a magnetic contribution to heavy quark momentum diffusion
topic Non-Zero Temperature and Density
Lattice QCD
Quark-Gluon Plasma
Effective Field Theories of QCD
url https://doi.org/10.1007/JHEP08(2022)128
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