Revisiting the Hubble tension with an inverse power-law early dark energy

Abstract: We propose a new early dark energy with a potential that has an inverse power-law asymptotic tail to alleviate the Hubble tension. Fitting this model to the datasets of CMB+BAO+SN+H0DN, one obtains a 68$\%$ confidence-level value of $H_0\sim 70.20<sup>{+0.60}_{-0.47}$ km s$<sup>{-1}$Mpc$<sup>{-1}$ and a best-fit value of $H_0\sim 70.56$ km s$<sup>{-1}$Mpc$<sup>{-1}$ for index $n=10$. We show that this model can be tested by future data of CMB and matter power spectra. Finally, we briefly discuss fine-tuning problems related to this model.