# An Improved Distance to NGC 4258 and its Implications for the Hubble Constant

## TL;DR

This paper refines the distance measurement to NGC 4258 using improved maser observations, leading to more precise estimates of the Hubble constant and better calibration of cosmic distance indicators.

## Contribution

It introduces an enhanced technique for modeling maser data, reducing uncertainties in the distance to NGC 4258 and refining the Hubble constant estimation.

## Key findings

- Distance to NGC 4258 is 7.576 Mpc with reduced uncertainties.
- Hubble constant estimated at approximately 72-73.5 km/s/Mpc.
- Improved calibration of the tip of the red giant branch for distance measurements.

## Abstract

NGC 4258 is a critical galaxy for establishing the extragalactic distance scale and estimating the Hubble constant (Ho). Water masers in the nucleus of the galaxy orbit about its supermassive black hole, and very long baseline interferometric observations of their positions, velocities, and accelerations can be modeled to give a geometric estimate of the angular-diameter distance to the galaxy. We have improved the technique to obtain model parameter values, reducing both statistical and systematic uncertainties compared to previous analyses. We find the distance to NGC 4258 to be 7.576 +/- 0.082 (stat.) +/- 0.076 (sys.) Mpc. Using this as the sole source of calibration of the Cepheid-SN Ia distance ladder results in Ho = 72.0 +/- 1.9 km/s/Mpc, and in concert with geometric distances from Milky Way parallaxes and detached eclipsing binaries in the LMC we find Ho = 73.5 +/- 1.4 km/s/Mpc. The improved distance to NGC 4258 also provides a new calibration of the tip of the red giant branch of M_{F814W} = -4.01 +/- 0.04$ mag, with reduced systematic errors for the determination of Ho compared to the LMC-based calibration, because it is measured on the same Hubble Space Telescope photometric system and through similarly low extinction as SN Ia host halos. The result is Ho = 71.1 +/- 1.9 km/s/Mpc, in good agreement with the result from the Cepheid route, and there is no difference in Ho when using the same calibration from NGC 4258 and the same SN Ia Hubble diagram intercept to start and end both distance ladders.