  The compatibility of W-boson mass measurements performed by the ATLAS, LHCb,
CDF, and D0 experiments is studied using a coherent framework with theory
uncertainty correlations. The measurements are combined using a number of
recent sets of parton distribution functions (PDF), and are further combined
with the average value of measurements from the Large Electron-Positron
collider. The considered PDF sets generally have a low compatibility with a
suite of global rapidity-sensitive Drell-Yan measurements. The most compatible
set is CT18 due to its larger uncertainties. A combination of all mW
measurements yields a value of mW = 80394.6 +- 11.5 MeV with the CT18 set, but
has a probability of compatibility of 0.5% and is therefore disfavoured.
Combinations are performed removing each measurement individually, and a 91%
probability of compatibility is obtained when the CDF measurement is removed.
The corresponding value of the W boson mass is 80369.2 +- 13.3 MeV, which
differs by 3.6 sigma from the CDF value determined using the same PDF set.
