We investigate whether a violation of the distance duality relation (DDR) $D_L(z)=(1+z{)}^2{D}_A(z)$ connecting the angular diameter and luminosity distances can explain the Hubble tension and alter the evidence for dynamical dark energy in recent cosmological observations. We constrain five phenomenological parametrizations of DDR violation using baryon acoustic oscillation measurements from the DESI survey calibrated with the sound horizon derived from Planck cosmic microwave background data and the $\mathrm{Pantheon}+\text{Type}$ Ia supernova (SNIa) catalog calibrated with the supernova absolute magnitude from the Supernovae $H_0$ for the equation of state program. We find that two toy models can resolve the tension: a constant offset in the DDR (equivalent to a shift in the calibration of the SNIa data) $D_L(z)/D_A(z)\simeq 0.925(1+z{)}^2$, which leaves the hint for evolving dark energy unaffected, or a change in the power-law redshift dependence of the DDR restricted to $z\lesssim 1$, $D_L(z)/D_A(z)\simeq (1+z{)}^{1.866}$, together with a constant phantom dark energy equation of state $w\sim -1.155$. The Bayesian evidence slightly favors the latter model. Our phenomenological approach motivates the investigation of physical models of DDR violation as a novel way to explain the Hubble tension.

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• Cosmological parameters
• Cosmology
• Dark energy