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

2025/02/11 by Cè, Marco, Giusti, Leonardo, Laudicina, Davide +2
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat)

paper · doi:10.48550/arxiv.2502.07674

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(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 temperatures explored, which is of the order of the electroweak scale.

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