We present new results on up to sixth-order cumulants of net baryon-number fluctuations at small values of the baryon chemical potential, , obtained in lattice QCD calculations with physical values of light and strange quark masses. Representing the Taylor expansions of higher-order cumulants in terms of the ratio of the two lowest-order cumulants, , allows for a parameter-free comparison with data on net proton-number 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 proton-number distributions, obtained at a beam energy , agree well with lattice QCD results on cumulants of net baryon-number fluctuations close to the pseudocritical temperature, , for the chiral transition in QCD. We also present first results from a next-to-leading-order expansion of fifth- and sixth-order cumulants on the line of the pseudocritical temperatures.
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"source": "APS",
"value": "We present new results on up to sixth-order cumulants of net baryon-number fluctuations at small values of the baryon chemical potential, <math><msub><mi>\u03bc</mi><mi>B</mi></msub></math>, obtained in lattice QCD calculations with physical values of light and strange quark masses. Representing the Taylor expansions of higher-order cumulants in terms of the ratio of the two lowest-order cumulants, <math><msub><mi>M</mi><mi>B</mi></msub><mo>/</mo><msubsup><mi>\u03c3</mi><mi>B</mi><mn>2</mn></msubsup><mo>=</mo><msubsup><mi>\u03c7</mi><mn>1</mn><mi>B</mi></msubsup><mo>(</mo><mi>T</mi><mo>,</mo><msub><mi>\u03bc</mi><mi>B</mi></msub><mo>)</mo><mo>/</mo><msubsup><mi>\u03c7</mi><mn>2</mn><mi>B</mi></msubsup><mo>(</mo><mi>T</mi><mo>,</mo><msub><mi>\u03bc</mi><mi>B</mi></msub><mo>)</mo></math>, allows for a parameter-free comparison with data on net proton-number 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 proton-number distributions, obtained at a beam energy <math><msqrt><msub><mi>s</mi><mrow><mi>N</mi><mi>N</mi></mrow></msub></msqrt><mo>=</mo><mn>54.4</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi></math>, agree well with lattice QCD results on cumulants of net baryon-number fluctuations close to the pseudocritical temperature, <math><msub><mi>T</mi><mrow><mi>p</mi><mi>c</mi></mrow></msub><mo>(</mo><msub><mi>\u03bc</mi><mi>B</mi></msub><mo>)</mo></math>, for the chiral transition in QCD. We also present first results from a next-to-leading-order expansion of fifth- and sixth-order cumulants on the line of the pseudocritical temperatures."
}
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"imprints": [
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"date": "2020-04-03",
"publisher": "APS"
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