All Order Resummed Leading and Next-to-Leading Soft Modes of Dense QCD Pressure

The cold and dense QCD equation of state at high baryon chemical potential mu(B) involves at order alpha(2)(s) an all-loop summation of the soft mode m(E) similar to alpha(1/2)(s) mu B contributions. Recently, the complete soft contributions at order alpha(3)(s) were calculated using the hard thermal loop formalism. By identifying massive renormalization group properties of the hard thermal loop theory, we resum to all orders alpha(p)(s), p >= 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 reduce residual scale dependence. Our results should help to reduce uncertainties in extending the equation of state in the intermediate mu(B) regime, relevant in particular for the phenomenology of neutron stars.

Automated summary

This study calculates the soft contributions to the QCD equation at high baryon chemical potential using the hard thermal loop formalism. The results obtained offer a reduction in uncertainties for extending the equation of state in the intermediate baryon chemical potential regime.