Abstract
Despite the remarkable success of the <math display="inline" id="d1e8123" altimg="si303.svg"><mi>Λ</mi></math> Cold Dark Matter (<math display="inline" id="d1e8129" altimg="si303.svg"><mi>Λ</mi></math>CDM) cosmological model, a growing discrepancy has emerged (currently measured at the level of <math display="inline" id="d1e8134" altimg="si3.svg"><mrow><mo>∼</mo><mn>4</mn><mo linebreak="goodbreak" linebreakstyle="after">−</mo><mn>6</mn><mspace width="0.16667em"/><mi>σ</mi></mrow></math>) between the value of the Hubble constant <math display="inline" id="d1e8150" altimg="si300.svg"><msub><mrow><mi>H</mi></mrow><mrow><mn>0</mn></mrow></msub></math> measured using the local distance ladder and the value inferred using the cosmic microwave background and galaxy surveys. While a vast array of <math display="inline" id="d1e8160" altimg="si303.svg"><mi>Λ</mi></math>CDM extensions have been proposed to explain these discordant observations, understanding the (relative) success of these models in resolving the tension has proven difficult — this is a direct consequence of the fact that each model has been subjected to differing, and typically incomplete, compilations of cosmological data. In this review, we attempt to make a systematic comparison of seventeen different models which have been proposed to resolve the <math display="inline" id="d1e8165" altimg="si300.svg"><msub><mrow><mi>H</mi></mrow><mrow><mn>0</mn></mrow></msub></math> tension (spanning both early- and late-Universe solutions), and quantify the relative success of each using a series of metrics and a vast array of data combinations. Owing to the timely appearance of this article, we refer to this contest as the “<math display="inline" id="d1e8175" altimg="si300.svg"><msub><mrow><mi>H</mi></mrow><mrow><mn>0</mn></mrow></msub></math> Olympics”; the goal being to identify which of the proposed solutions, and more broadly which underlying mechanisms, are most likely to be responsible for explaining the observed discrepancy (should unaccounted for systematics not be the culprit). This work also establishes a foundation of tests which will allow the success of novel proposals to be meaningfully “benchmarked”.