Heavy quark diffusion in strong magnetic fields at weak coupling and implications for elliptic flow

Fukushima, Kenji; Hattori, Koichi; Yee, Ho -Ung; Yin, Yi

doi:10.1103/PhysRevD.93.074028

Title: Heavy quark diffusion in strong magnetic fields at weak coupling and implications for elliptic flow

Journal Article · Wed Apr 20 00:00:00 EDT 2016 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.93.074028· OSTI ID:1254122

Fukushima, Kenji ^[1]; Hattori, Koichi ^[2]; Yee, Ho -Ung ^[3]; Yin, Yi ^[4]

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)

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 α_s. We consider a regime relevant for the relativistic heavy ion collisions, α_seB << 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 κ^LO_⊥ ∝ α²_sTeB 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 κ^LO_∥ come from the two separate effects: 1) the screened Coulomb scatterings with thermal gluons, and 2) a finite light-quark mass m_q. The former leads to κ^LO,gluon_∥ ∝ α²_sT³ and the latter to κ^LO,massive_∥ ∝ α_s(α_seB)^1/2m²_q. 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.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC00112704; SC0012704

OSTI ID:: 1254122

Alternate ID(s):: OSTI ID: 1248250

Report Number(s):: BNL-112136-2016-JA; PRVDAQ; R&D Project: PO-3

Journal Information:: Physical Review D, Vol. 93, Issue 7; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 83 works

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