of the unquenched system in [@Braun:2014ata] provides the foundation for achieving this goal. The present work and [@Braun:2014ata] are first works within a collaboration (fQCD) aiming at a quantitative functional renormalisation group framework for QCD [@FRG-QCD]. While the correct implementation of relative fluctuation scales is not required to reproduce the thermodynamic properties of QCD at vanishing chemical potential [@Herbst:2013ufa], it will become increasingly important at finite chemical potential. As was detailed in [@Helmboldt:2014iya] at the example of quantum/thermal and density fluctuations, mismatches in thermal/density fluctuation scales inevitably lead to large systematic errors at finite chemical potential. This is particularly important for the question of the potential critical endpoint in the QCD phase diagram.

Functional continuum approaches provide access to the mechanisms of dynamical chiral symmetry breaking and confinement, as well as their interrelation. Up to date, functional computations require larger or smaller amounts of phenomenological input in the form of running couplings, vertex models, or further low-energy parameters, see [@Berges:2000ew; @Pawlowski:2005xe; @Gies:2006wv; @Schaefer:2006sr; @Braun:2011pp; @Alkofer:2000wg; @Roberts:2000aa; @Fischer:2006ub; @Fischer:2008uz; @Binosi:2009qm; @Maas:2011se; @Boucaud:2011ug] and references therein. In this work we present the first closed, self-consistent and quantitative computation for quenched continuum QCD in the vacuum. A prominent feature of this calculation is 