All order resummed leading and next-to-leading soft modes of dense QCD pressure

Loïc Fernandez (1) , Jean-Loïc Kneur (1)

1 L2C - Laboratoire Charles Coulomb

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.

Mots clés: quantum chromodynamics: equation of state; potential: chemical; renormalization group; baryon; neutron star: mass; pressure; scale dependence; hard thermal loop approximation

Domaines: Physique des Hautes Energies - Phénoménologie [hep-ph]

Loïc Fernandez, Jean-Loïc Kneur. All order resummed leading and next-to-leading soft modes of dense QCD pressure. Physical Review Letters, 2022, 129 (21), pp.212001. ⟨10.1103/PhysRevLett.129.212001⟩. ⟨hal-03347966⟩