An Updated Metal-dependent Theoretical Scenario for Classical Cepheids

To properly quantify possible residual systematic errors affecting the Classical Cepheid distance scale, a detailed theoretical scenario is recommended. By extending set of nonlinear convective pulsation models published for $Z=0.02$ \citep[][]{Desomma2020a} to $Z=0.004$, $Z=0.008$ and $Z=0.03$, we provide homogeneous model grid taking into account simultaneous variations mass-luminosity relation, efficiency super-adiabatic convection chemical composition. The dependence inferred Period-Radius, Period-Mass-Radius, Period-Mass-Luminosity-Temperature relations on input parameters discussed both Fundamental First Overtone modes. trend instability strip getting redder as metallicity increases confirmed additional ML assumptions mixing length values. From obtained multi-filter light curves, derive mean magnitudes colors in turn Period-Luminosity-Color Period-Wesenheit each assumed composition, relation convection. Application well-studied sample Cepheids Large Magellanic Cloud allows us constrain modulus inclusion term derivation us, predict scale. metal-dependent are compared with recent results literature applied Gaia Early Data Release 3 Galactic known metal abundances individual parallaxes. comparison these predictions finally discussed.