Damn You, Little h! (or, Real-World Applications Of The Hubble Constant Using Observed And Simulated Data)

Abstract

The Hubble constant, H0, or its dimensionless equivalent, "little h", is a fundamental cosmological property that is now known to an accuracy better than a few percent. Despite its cosmological nature, little h commonly appears in the measured properties of individual galaxies. This can pose unique challenges for users of such data, particularly with survey data. In this paper we show how little h arises in the measurement of galaxies, how to compare like-properties from different datasets that have assumed different little h cosmologies, and how to fairly compare theoretical data with observed data, where little h can manifest in vastly different ways. This last point is particularly important when observations are used to calibrate galaxy formation models, as calibrating with the wrong (or no) little h can lead to disastrous results when the model is later converted to the correct h cosmology. We argue that in this modern age little h is an anachronism, being one of least uncertain parameters in astrophysics, and we propose that observers and theorists instead treat this uncertainty like any other. We conclude with a "cheat sheet" of nine points that should be followed when dealing with little h in data analysis.

A guide to dealing with little h in data analysis (theory and observation), targeted at students, in the spirit of Hogg's "Distance Measures in Cosmology" (arXiv:astro-ph/9905116). 10 pages, 3 figures, 2 tables. Accepted for publication in PASA