Skewness, kurtosis, and the fifth and sixth order cumulants of net baryonnumber distributions from lattice QCD confront highstatistics STAR data
Abstract
We present new results on up to 6th order cumulants of net baryonnumber fluctuations at small values of the baryon chemical potential, µB, obtained in lattice QCD calculations with physical values of light and strange quark masses. Representation of the Taylor expansions of higher order cumulants in terms of the ratio of the two lowest order cumulants, M_{B}/σ^{2} B = $$χ$$ $$^{B}_{1}$$ (T, µ_{B})/$$χ$$ $$^{B}_{2}$$ (T,µ_{B}), allows for a parameter free comparison with data on net protonnumber cumulants obtained by the STAR Collaboration in the Beam Energy Scan at RHIC. We show that recent high statistics data on skewness and kurtosis ratios of net protonnumber distributions, obtained at beam energy $$ \sqrt{s_{NN}}$$ = 54.4 GeV, agree well with lattice QCD results on cumulants of net baryonnumber fluctuations close to the pseudocritical temperature, T_{pc}(µ_{B}), for the chiral transition in QCD. We also present first results from a nexttoleading order expansion of 5th and 6th order cumulants on the line of pseudocritical temperatures.
 Authors:

 Michigan State Univ., East Lansing, MI (United States)
 Univ. Bielefeld (Germany)
 Central China Normal Univ., Wuhan (China)
 Indian Inst. of Science, Bangalore (India)
 Central China Normal Univ., Wuhan (China); Univ. Bielefeld (Germany)
 Brookhaven National Lab. (BNL), Upton, NY (United States)
 Univ. of Tsukuba, Ibaraki (Japan)
 The Inst. of Mathematical Sciences, Chennai (India)
 Publication Date:
 Research Org.:
 Brookhaven National Laboratory (BNL), Upton, NY (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); National Science Foundation (NSF); National Natural Science Foundation of China (NSFC)
 Contributing Org.:
 HotQCD Collaboration
 OSTI Identifier:
 1608179
 Alternate Identifier(s):
 OSTI ID: 1614699
 Report Number(s):
 BNL2138202020JAAM
Journal ID: ISSN 24700010; PRVDAQ; TRN: US2106298
 Grant/Contract Number:
 AC0500OR22725; AC0205CH11231; AC0206CH11357; SC0012704; PHY1812332
 Resource Type:
 Published Article
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 101; Journal Issue: 7; Journal ID: ISSN 24700010
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; lattice QCD; QCD phase transitions; relativistic heavyion collisions
Citation Formats
Bazavov, A., Bollweg, D., Ding, H. T., Enns, P., Goswami, J., Hegde, P., Kaczmarek, O., Karsch, F., Larsen, R., Mukherjee, Swagato, Ohno, H., Petreczky, P., Schmidt, C., Sharma, S., and Steinbrecher, P. Skewness, kurtosis, and the fifth and sixth order cumulants of net baryonnumber distributions from lattice QCD confront highstatistics STAR data. United States: N. p., 2020.
Web. doi:10.1103/PhysRevD.101.074502.
Bazavov, A., Bollweg, D., Ding, H. T., Enns, P., Goswami, J., Hegde, P., Kaczmarek, O., Karsch, F., Larsen, R., Mukherjee, Swagato, Ohno, H., Petreczky, P., Schmidt, C., Sharma, S., & Steinbrecher, P. Skewness, kurtosis, and the fifth and sixth order cumulants of net baryonnumber distributions from lattice QCD confront highstatistics STAR data. United States. https://doi.org/10.1103/PhysRevD.101.074502
Bazavov, A., Bollweg, D., Ding, H. T., Enns, P., Goswami, J., Hegde, P., Kaczmarek, O., Karsch, F., Larsen, R., Mukherjee, Swagato, Ohno, H., Petreczky, P., Schmidt, C., Sharma, S., and Steinbrecher, P. Fri .
"Skewness, kurtosis, and the fifth and sixth order cumulants of net baryonnumber distributions from lattice QCD confront highstatistics STAR data". United States. https://doi.org/10.1103/PhysRevD.101.074502.
@article{osti_1608179,
title = {Skewness, kurtosis, and the fifth and sixth order cumulants of net baryonnumber distributions from lattice QCD confront highstatistics STAR data},
author = {Bazavov, A. and Bollweg, D. and Ding, H. T. and Enns, P. and Goswami, J. and Hegde, P. and Kaczmarek, O. and Karsch, F. and Larsen, R. and Mukherjee, Swagato and Ohno, H. and Petreczky, P. and Schmidt, C. and Sharma, S. and Steinbrecher, P.},
abstractNote = {We present new results on up to 6th order cumulants of net baryonnumber fluctuations at small values of the baryon chemical potential, µB, obtained in lattice QCD calculations with physical values of light and strange quark masses. Representation of the Taylor expansions of higher order cumulants in terms of the ratio of the two lowest order cumulants, MB/σ2 B = $χ$ $^{B}_{1}$ (T, µB)/$χ$ $^{B}_{2}$ (T,µB), allows for a parameter free comparison with data on net protonnumber cumulants obtained by the STAR Collaboration in the Beam Energy Scan at RHIC. We show that recent high statistics data on skewness and kurtosis ratios of net protonnumber distributions, obtained at beam energy $ \sqrt{s_{NN}}$ = 54.4 GeV, agree well with lattice QCD results on cumulants of net baryonnumber fluctuations close to the pseudocritical temperature, Tpc(µB), for the chiral transition in QCD. We also present first results from a nexttoleading order expansion of 5th and 6th order cumulants on the line of pseudocritical temperatures.},
doi = {10.1103/PhysRevD.101.074502},
journal = {Physical Review D},
number = 7,
volume = 101,
place = {United States},
year = {2020},
month = {4}
}
https://doi.org/10.1103/PhysRevD.101.074502
Web of Science
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Dataset for : Skewness, kurtosis and the 5th and 6th order cumulants of net baryonnumber distributions from lattice QCD confront highstatistics STAR data
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 Bazavov, A.; Bollweg, Dennis; Ding, H. T
 Bielefeld University