Constraining <math><mrow><mi>η</mi><mo>/</mo><mi>s</mi></mrow></math> through high-<math><msub><mi>p</mi><mo>⊥</mo></msub></math> theory and data

Karmakar, Bithika; Zigic, Dusan; Salom, Igor; Auvinen, Jussi; Huovinen, Pasi; Djordjevic, Marko; Djordjevic, Magdalena

doi:10.1103/PhysRevC.108.044907

Constraining $η / s$ through high- $p_{⊥}$ theory and data

Bithika Karmakar
(
- Belgrade, Inst. Phys.
)
,
Dusan Zigic
(
- Belgrade, Inst. Phys.
)
,
Igor Salom
(
- Belgrade, Inst. Phys.
)
,
Jussi Auvinen
(
- Belgrade, Inst. Phys. and
- Jyvaskyla U.
)
,
Pasi Huovinen
(
- U. Wroclaw (main)
)

May 18, 2023

14 pages

Published in:

Phys.Rev.C 108 (2023) 4, 044907

Published: Oct 24, 2023

e-Print:

2305.11318 [hep-ph]

DOI:

10.1103/PhysRevC.108.044907 (publication)

View in:

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Abstract: (APS)

We study whether it is possible to use high-

p_{⊥}

data/theory to constrain the temperature dependence of the shear viscosity over entropy density ratio

η / s

of the matter formed in ultrarelativistic heavy-ion collisions at the BNL Relativistic Heavy Ion Collider (RHIC) and the CERN Large Hadron Collider (LHC). We use two approaches: (i) We calculate high-

p_{⊥} R_{A A}

and flow coefficients

v_{2}, v_{3}

, and

v_{4}

assuming different

(η / s) (T)

of the fluid-dynamically evolving medium. (ii) We calculate the quenching strength (

\hat{q} / T^{3}

) from our dynamical energy loss model and convert it to

η / s

as a function of temperature. It turned out that the first approach cannot distinguish between different

(η / s) (T)

assumptions when the evolution is constrained to reproduce the low-

p_{⊥}

data. In distinction,

(η / s) (T)

calculated using the second approach agrees surprisingly well with the

(η / s) (T)

inferred through state-of-the-art Bayesian analyses of the low-

p_{⊥}

data even in the vicinity of

T_{c}

, while providing much smaller uncertainties at high temperatures.

Note:

25 pages, 9 figures, Version published in Physical Review C

entropy: density: ratio
temperature: high
heavy ion: scattering
energy loss: model
transverse momentum: high
CERN LHC Coll
temperature dependence
viscosity
flow
Brookhaven RHIC Coll

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Constraining η/s through high-p⊥ theory and data

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Constraining $η / s$ through high- $p_{⊥}$ theory and data