  A time variation in the Higgs vacuum expectation value alters the electron
mass and thereby changes the ionization history of the universe. This change
produces a measurable imprint on the pattern of cosmic microwave background
(CMB) fluctuations. The nuclear masses and nuclear binding energies, as well as
the Fermi coupling constant, are also altered, with negligible impact on the
CMB. We calculate the changes in the spectrum of the CMB fluctuations as a
function of the change in the electron mass. We find that future CMB
experiments could be sensitive to |\Delta m_e/m_e| \sim |\Delta G_F/G_F| \sim
10^{-2} - 10^{-3}. However, we also show that a change in the electron mass is
nearly, but not exactly, degenerate with a change in the fine-structure
constant. If both the electron mass and the fine-structure constant are
time-varying, the corresponding CMB limits are much weaker, particularly for l
< 1000.
