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<p>We compute the hyperfine splitting of P-wave heavy quarkonium states with next-to-next-to-next-to-next-to-leading-order accuracy. The resummation of logarithms with next-to-next-to-next-to-next-to-leading-logarithmic accuracy is also addressed. A phenomenological analysis of these results is performed for bottomonium, charmonium and the <i>B</i><sub>c</sub> system. We also apply these results to positronium, muonium, hydrogen and muonic hydrogen.</p>

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The ultrafine splitting of heavy quarkonium with next-to-next-to-next-to-next-to-leading-order accuracy

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月23日

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  • Jose M. Escario,
  • Andreas Maier,
  • Clara Peset,
  • Antonio Pineda

摘要

We compute the hyperfine splitting of P-wave heavy quarkonium states with next-to-next-to-next-to-next-to-leading-order accuracy. The resummation of logarithms with next-to-next-to-next-to-next-to-leading-logarithmic accuracy is also addressed. A phenomenological analysis of these results is performed for bottomonium, charmonium and the Bc system. We also apply these results to positronium, muonium, hydrogen and muonic hydrogen.