Context. A longstanding challenge for understanding classical Cepheids is the
Cepheid mass discrepancy, where theoretical mass estimates using stellar
evolution and stellar pulsation calculations have been found to differ by
approximately 10 - 20%. Aims. We study the role of pulsation-driven mass loss
during the Cepheid stage of evolution as a possible solution to this mass
discrepancy. Methods. We computed stellar evolution models with a Cepheid
mass-loss prescription and various amounts of convective core overshooting. The
contribution of mass loss towards the mass discrepancy is determined using
these models, Results. Pulsation-driven mass loss is found to trap Cepheid
evolution on the instability strip, allowing them to lose about 5 - 10% of
their total mass when moderate convective core overshooting, an amount
consistent with observations of other stars, is included in the stellar models.
Conclusions. We find that the combination of moderate convective core
overshooting and pulsation-driven mass loss can solve the Cepheid mass
discrepancy.Comment: 4 pages, 2 figures and 2 tables. Accepted for publication A&A Letter