The CDF collaboration has recently published a precision measurement of the $W$-boson mass that differs from the Standard Model prediction by seven standard deviations. This result can be explained with additional electroweak multiplets that either break the custodial symmetry or contribute to oblique parameters at loop level. Here, we study one of the best-motivated scenarios involving new multiplets: the type-II seesaw model, which involves a scalar triplet that generates Majorana neutrino masses and can furthermore resolve the $W$-boson mass discrepancy. This favors a doubly charged scalar with mass between 100 and 200 GeV as well as other scalars with a fixed mass splitting. The entire preferred parameter space is testable at the LHC.

• Received 25 April 2022
• Accepted 28 June 2022

DOI:https://doi.org/10.1103/PhysRevD.106.015004

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Published by the American Physical Society