Hubble tension or a transition of the Cepheid SnIa calibrator parameters?

Understand

We re-analyze the Cepheid data used to infer the value of $H_0$ by calibrating SnIa.

• We do not enforce a universal value of the empirical Cepheid calibration parameters $R_W$ (Cepheid Wesenheit color-luminosity parameter) and $M_H^{W}$ (Cepheid Wesenheit H-band absolute magnitude).
• Instead, we allow for variation of either of these parameters for each individual galaxy.
• We also consider the case where these parameters have two universal values: one for low galactic distances $D<D_c$ and one for high galactic distances $D>D_c$ where $D_c$ is a critical transition distance.