%0 Unpublished work
%T All order resummed leading and next-to-leading soft modes of dense QCD pressure
%+ Laboratoire Charles Coulomb (L2C)
%A Fernandez, Loïc
%A Kneur, Jean-Loïc
%8 2021-09-17
%D 2021
%Z 2109.02410
%K quantum chromodynamics
%K equation of state
%K potential
%K chemical
%K renormalization group
%K baryon
%K neutron star
%K pressure
%K scale dependence
%K hard thermal loop approximation
%Z Physics [physics]/High Energy Physics - Phenomenology [hep-ph]Preprints, Working Papers, ...
%X 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 sizeable 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.
%G English
%L hal-03347966
%U https://hal.archives-ouvertes.fr/hal-03347966
%~ L2C
%~ MIPS
%~ UNIV-MONTPELLIER
%~ CNRS