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arXiv · 2502.07674

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

Marco Cè·Leonardo Giusti·Davide Laudicina·Michele Pepe·Pietro Rescigno
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Abstract

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 $O(g^4)$ 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 temperatures explored, which is of the order of the electroweak scale.

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Marco Cè, Leonardo Giusti, Davide Laudicina, Michele Pepe, Pietro Rescigno. 2025-02-11. The hyperfine splitting in QCD mesonic screening masses at asymptotically large temperatures. https://doi.org/10.1007/jhep05(2025)044

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