We demonstrate the power of constraining theories of new physics by insisting
that they lead to electroweak baryogenesis, while agreeing with current data
from the Large Hadron Collider. The general approach is illustrated with a
singlet scalar extension of the Standard Model. Stringent bounds can already be
obtained, which reduce the viable parameter space to a small island.Comment: 4 pages, 2 figures. References added, figures updated. Version to
appear in PR