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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## Abstract

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 |
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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 |

Depositing User: | Id for Latest eprints |

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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