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arXiv · 2408.16674

Cold Quark Matter: Renormalization Group Improvement at next-to-next-to leading order

Loïc Fernandez·Jean-Loïc Kneur
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Abstract

We extend previous next-to-next-to leading order (NNLO) calculations of the QCD pressure at zero temperature and non-zero baryonic densities using the renormalization group optimized perturbation theory (RGOPT), which entails an all-order RG-invariant resummation. First, we consider the approximation of three massless quark flavors, and then adding the running strange quark mass dependence. The resulting pressure displays a sizeably reduced sensitivity to variations of the arbitrary renormalization scale as compared to the state-of-the-art NNLO results. This confirms previous NLO investigations that the RGOPT resummation scheme provides improved convergence properties and reduced renormalization scale uncertainties, thus being a promising prescription to improve perturbative QCD at high and mid range baryonic densities.

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Loïc Fernandez, Jean-Loïc Kneur. 2024-08-29. Cold Quark Matter: Renormalization Group Improvement at next-to-next-to leading order. https://doi.org/10.1103/physrevd.111.034020

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