Lattice study of a magnetic contribution to heavy quark momentum diffusion

D. Banerjee (Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata, 700064, India; Homi Bhabha National Institute, Training School Complex, Anushaktinagar, Mumbai, 400094, India) ; S. Datta (Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, 400005, India) ; M. Laine (AEC, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, Bern, CH-3012, Switzerland)

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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      "surname": "Datta", 
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      "surname": "Laine", 
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      "source": "Springer", 
      "value": "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 \u223c (1.2 \u2212 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, \u03ba. For charm (bottom) quarks, the magnetic contribution adds \u223c 30% (10%) to the electric one. The same increases apply also to the drag coefficient, \u03b7. As an aside, the colour-magnetic spectral function is computed at NLO."
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Published on:
10 August 2022
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2022 (2022)
Issue 8
Pages 1-23
DOI:
https://doi.org/10.1007/JHEP08(2022)128
arXiv:
2204.14075
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: