Heavy quark diffusion in strong magnetic fields at weak coupling and implications for elliptic flow
Abstract
In this paper, we compute the momentum diffusion coefficients of heavy quarks, κ∥ and κ⊥, in a strong magnetic field B along the directions parallel and perpendicular to B, respectively, at the leading order in QCD coupling constant αs. We consider a regime relevant for the relativistic heavy ion collisions, αseB << T2 << eB, so that thermal excitations of light quarks are restricted to the lowest Landau level (LLL) states. In the vanishing light-quark mass limit, we find κLO⊥ ∝ α2sTeB in the leading order that arises from screened Coulomb scatterings with (1+1)-dimensional LLL quarks, while κ∥ gets no contribution from the scatterings with LLL quarks due to kinematic restrictions. We show that the first nonzero leading order contributions to κLO∥ come from the two separate effects: 1) the screened Coulomb scatterings with thermal gluons, and 2) a finite light-quark mass mq. The former leads to κLO,gluon∥ ∝ α2sT3 and the latter to κLO,massive∥ ∝ αs(αseB)1/2m2q. Based on our results, we propose a new scenario for the large value of heavy-quark elliptic flow observed in RHIC and LHC. Namely, when κ⊥ >> κ∥, an anisotropy in drag forces gives rise to a sizable amount of the heavy-quark elliptic flowmore »
- Authors:
-
- The Univ. of Tokyo, Tokyo (Japan)
- Brookhaven National Lab. (BNL), Upton, NY (United States); Nishina Center, RIKEN, Saitama (Japan)
- Univ. of Illinois, Chicago, IL (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1254122
- Alternate Identifier(s):
- OSTI ID: 1248250
- Report Number(s):
- BNL-112136-2016-JA
Journal ID: ISSN 2470-0010; PRVDAQ; R&D Project: PO-3
- Grant/Contract Number:
- SC00112704; SC0012704
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 93; Journal Issue: 7; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Riken BNL Research Center
Citation Formats
Fukushima, Kenji, Hattori, Koichi, Yee, Ho -Ung, and Yin, Yi. Heavy quark diffusion in strong magnetic fields at weak coupling and implications for elliptic flow. United States: N. p., 2016.
Web. doi:10.1103/PhysRevD.93.074028.
Fukushima, Kenji, Hattori, Koichi, Yee, Ho -Ung, & Yin, Yi. Heavy quark diffusion in strong magnetic fields at weak coupling and implications for elliptic flow. United States. https://doi.org/10.1103/PhysRevD.93.074028
Fukushima, Kenji, Hattori, Koichi, Yee, Ho -Ung, and Yin, Yi. Wed .
"Heavy quark diffusion in strong magnetic fields at weak coupling and implications for elliptic flow". United States. https://doi.org/10.1103/PhysRevD.93.074028. https://www.osti.gov/servlets/purl/1254122.
@article{osti_1254122,
title = {Heavy quark diffusion in strong magnetic fields at weak coupling and implications for elliptic flow},
author = {Fukushima, Kenji and Hattori, Koichi and Yee, Ho -Ung and Yin, Yi},
abstractNote = {In this paper, we compute the momentum diffusion coefficients of heavy quarks, κ∥ and κ⊥, in a strong magnetic field B along the directions parallel and perpendicular to B, respectively, at the leading order in QCD coupling constant αs. We consider a regime relevant for the relativistic heavy ion collisions, αseB << T2 << eB, so that thermal excitations of light quarks are restricted to the lowest Landau level (LLL) states. In the vanishing light-quark mass limit, we find κLO⊥ ∝ α2sTeB in the leading order that arises from screened Coulomb scatterings with (1+1)-dimensional LLL quarks, while κ∥ gets no contribution from the scatterings with LLL quarks due to kinematic restrictions. We show that the first nonzero leading order contributions to κLO∥ come from the two separate effects: 1) the screened Coulomb scatterings with thermal gluons, and 2) a finite light-quark mass mq. The former leads to κLO,gluon∥ ∝ α2sT3 and the latter to κLO,massive∥ ∝ αs(αseB)1/2m2q. Based on our results, we propose a new scenario for the large value of heavy-quark elliptic flow observed in RHIC and LHC. Namely, when κ⊥ >> κ∥, an anisotropy in drag forces gives rise to a sizable amount of the heavy-quark elliptic flow even if heavy quarks do not fully belong to an ellipsoidally expanding background fluid.},
doi = {10.1103/PhysRevD.93.074028},
journal = {Physical Review D},
number = 7,
volume = 93,
place = {United States},
year = {Wed Apr 20 00:00:00 EDT 2016},
month = {Wed Apr 20 00:00:00 EDT 2016}
}
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