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The presence of rings around a transiting planet can cause its radius to beoverestimated and lead to an underestimation of its density if the mass isknown. We employ a Bayesian framework to show that the anomalously low density($\sim$0.09 g cm${^{-3}}$) of the transiting long-period planetHIP$\,$41378$\,f$ might be due to the presence of opaque circum-planetaryrings. Given our adopted model priors and data from the K2 mission, we find thestatistical evidence for the ringed planet scenario to be comparable to that ofthe planet-only scenario. The ringed planet solution suggests a largerplanetary density of $\sim$1.23$\,$g$\,$cm$^{-3}$ similar to Uranus. Theassociated ring extends from 1.05 to 2.59 times the planetary radius and isinclined away from the sky-plane by $\sim$25$^\mathrm{o}$. Futurehigh-precision transit observations of HIP$\,$41378$\,f$ would be necessary toconfirm/dismiss the presence of planetary rings.

Can planetary rings explain the extremely low density of HIP 41378f?