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Skewness and kurtosis of net baryon-number distributions at small values of the baryon chemical potential

Bazavov, A and Ding, HT and Hegde, P and Kaczmarek, O and Karsch, F and Laermann, E and Mukherjee, Swagato and Ohno, H and Petreczky, P and Rinaldi, E and Sandmeyer, H and Schmidt, C and Schroeder, Chris and Sharma, S and Soeldner, W and Soltz, RA and Steinbrecher, P and Vranas, PM and Collaboration, HotQCD (2017) Skewness and kurtosis of net baryon-number distributions at small values of the baryon chemical potential. In: PHYSICAL REVIEW D, 96 (7).

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Official URL: http://doi.org/10.1103/PhysRevD.96.074510


We present results for the ratios of mean (MB), variance (sigma(2)(B)), skewness (SB) and kurtosis(kappa B) of net baryon-number fluctuations obtained in lattice QCD calculations with physical values of light and strange quark masses. Using next-to-leading order Taylor expansions in baryon chemical potential we find that qualitative features of these ratios closely resemble the corresponding experimentally measured cumulant ratios of net proton-number fluctuations for beam energies down to root s(NN) >= 19.6 GeV. We show that the difference in cumulant ratios for the mean net baryon-number, M-B/sigma(2)(B) = chi(1)(B) (T, mu(B)) / chi(2)(B) (T, mu(B)), and the normalized skewness, S-B sigma(B) = chi(B)(3) (T, mu(B)) / chi(B)(2) (T, mu B), naturally arises in QCD thermodynamics. Moreover, we establish a close relation between skewness and kurtosis ratios, S-B sigma(3)(B) / M-B = chi(B)(3) (T, mu(B)) / chi(B)(1) (T, mu(B)) and kappa(B)sigma(2)(B) = chi(B)(4) (T, mu(B)) /chi(B)(2) (T, mu(B)), valid at small values of the baryon chemical potential.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 24 Nov 2017 10:07
Last Modified: 05 Mar 2019 11:13
URI: http://eprints.iisc.ac.in/id/eprint/58315

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