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<p>We determine the hyperfine splitting in the QCD flavour non-singlet mesonic screening masses at asymptotically large temperatures. The analytic calculation is carried out in the dimensionally-reduced effective theory where the first non-zero contribution is of <i>O</i>(<i>g</i><sup>4</sup>) in the QCD coupling constant <i>g</i>. Apart for its own theoretical interest, this result provides instrumental information to interpret and to parameterize non-perturbative data that are being produced at very high temperatures by numerical simulations of lattice QCD. Indeed, the comparison with existing non-perturbative results shows that higher order (non-perturbative) contributions in <i>g</i> are needed to explain the data up to the highest temperature explored, which is of the order of the electroweak scale.</p>

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The hyperfine splitting in QCD mesonic screening masses at asymptotically large temperatures

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月6日

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  • Marco Cè,
  • Leonardo Giusti,
  • Davide Laudicina,
  • Michele Pepe,
  • Pietro Rescigno

摘要

We determine the hyperfine splitting in the QCD flavour non-singlet mesonic screening masses at asymptotically large temperatures. The analytic calculation is carried out in the dimensionally-reduced effective theory where the first non-zero contribution is of O(g4) in the QCD coupling constant g. Apart for its own theoretical interest, this result provides instrumental information to interpret and to parameterize non-perturbative data that are being produced at very high temperatures by numerical simulations of lattice QCD. Indeed, the comparison with existing non-perturbative results shows that higher order (non-perturbative) contributions in g are needed to explain the data up to the highest temperature explored, which is of the order of the electroweak scale.