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<p>Axion cosmology needs the QCD topological susceptibility between 400 and 1100 MeV. In this range the bottom quark is inconvenient to include in lattice simulations, but not heavy enough to ignore. We estimate its effect on the susceptibility by computing the ratio of the 4-quark susceptibility and the 4+1-quark susceptibility in the caloron gas approximation. We do so by computing small-mass and large-mass expansions of the finite-mass and - temperature fluctuation determinant and connecting them with a Padé approximant.</p>

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Finite — T topological susceptibility with heavy quarks

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月11日

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  • Bruno Högl,
  • Guy D. Moore

摘要

Axion cosmology needs the QCD topological susceptibility between 400 and 1100 MeV. In this range the bottom quark is inconvenient to include in lattice simulations, but not heavy enough to ignore. We estimate its effect on the susceptibility by computing the ratio of the 4-quark susceptibility and the 4+1-quark susceptibility in the caloron gas approximation. We do so by computing small-mass and large-mass expansions of the finite-mass and - temperature fluctuation determinant and connecting them with a Padé approximant.