  The quest of a vanishing cosmological constant is considered in the simplest
anomaly-free chiral gauge extension of the electroweak standard model where the
new physics is limited to a well defined additional flavordynamics above the
Fermi scale, namely up to a few TeVs by matching the gauge coupling constants
at the electroweak scale, and with an extended scalarland. In contrast to the
electroweak standard model, it is shown how the extended scalar sector of the
theory allows a vanishing or a very small cosmological constant. The details of
the cancellation mechanism are presented. At accessible energies the theory is
indistinguishable from the standard model of elementary particles and it is in
agreement with all existing data.
