Understanding Vector Mass in Particle Physics Models

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spaghetti3451
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I hear the phrase vector mass being used a lot in discussions of various models in particle physics.

But I am not exactly sure what it means.

There is no Wikipedia article on this term. Is vector mass somehow different from scalar mass?

The only possible mass terms in the Lagrangian arise due to quadratic self-interactions and interactions between different fields. In this respect, we have a scalar mass and a mass matrix respectively.

But what exactly is a vector mass?
 
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I don't have a peer reviewed reference, but the authors are very famous in the pheno and string community, so I guess this paper carries weight anyway.