Can first-principles Eliashberg theory predict hydride $T_{c}$ within ten percent
In plain words
Hydride superconductivity is thought to come from lattice vibrations, which theory can compute, but light hydrogen atoms vibrate strongly and quantum mechanically, which complicates predictions.
Precise statement
Determine whether Migdal-Eliashberg theory with first-principles electron-phonon coupling, including quantum anharmonic lattice dynamics and zero-point motion and with mu* computed or fixed in advance, predicts $T_{c}$ of compressed hydrides (H3S, LaH10, CaH6, YH6) within 10 percent and their isotope coefficients. An answer is a blind prediction later confirmed or refuted by experiment.
What would settle it
Published blind predictions of $T_c$ and isotope coefficient for a new hydride, followed by measurement.
Status in the literature
Calculations reproduce $T_{c}$ of H3S and LaH10 approximately, but results depend on $\mu*$ and on the treatment of anharmonicity.