All order resummed leading and next-to-leading soft modes of dense QCD pressure Auteur(s): Fernandez L., Kneur J.-L. (Document sans référence bibliographique) Texte intégral en Openaccess : Ref HAL: hal-03347966_v1 Ref Arxiv: 2109.02410 Ref INSPIRE: 1917540 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote Résumé: The cold and dense QCD equation of state (EoS) at high baryon chemical potential $\mu_B$ involves at order $\alpha^2_S$ an all-loop summation of the soft mode $m_E\sim \alpha_S^{1/2} \mu_B$ contributions. Recently, the complete soft contributions at order $\alpha^3_S$ were calculated, using the hard thermal loop (HTL) formalism. By identifying {\em massive} renormalization group (RG) properties within HTL, we resum to all orders $\alpha_S^p, p\ge 3$ the leading and next-to-leading logarithmic soft contributions. We obtain compact analytical expressions, that show visible deviations from the state-of-the art results, and noticeably reduced residual scale dependence. Our results should help to reduce uncertainties in extending the EoS in the intermediate $\mu_B$ regime, relevant in particular for the phenomenology of neutron stars.