Hubble tension and fifth forces

Abstract

Fifth forces are ubiquitous in modified theories of gravity. In this paper, we analyze their effect on the Cepheid-calibrated cosmic distance ladder, specifically with respect to the inferred value of the Hubble constant (<a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mi>H</a:mi><a:mn>0</a:mn></a:msub></a:math>). We consider a variety of effective models where the strength, or amount of screening, of the fifth force is estimated using proxy fields related to the large-scale structure of the Universe. To quantify the level of tension between the local distance ladder and the value for <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:msub><c:mi>H</c:mi><c:mn>0</c:mn></c:msub></c:math>, we calculate the probability of obtaining a test result at least as extreme as the observed one, assuming that the model is correct (the <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mi>p</e:mi></e:math>-value). For all models considered, the level of agreement is <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mo>≳</g:mo><g:mn>20</g:mn><g:mo>%</g:mo></g:math>, relieving the tension compared to the concordance model, exhibiting an agreement of only 1%. The alleviated discrepancy comes partially at the cost of an increased tension between distance estimates from Cepheids and the tip of the red-giant branch (TRGB). Demanding also that the consistency between Cepheid and TRGB distance estimates is not impaired, some fifth force models can still accommodate the data with a probability <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mo>≳</i:mo><i:mn>20</i:mn><i:mo>%</i:mo></i:math>. This provides incentive for more detailed investigations of fundamental theories on which the effective models are based and their effect on the Hubble tension. Published by the American Physical Society 2023

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