  We present an improved calculation of the light element abundances in the
framework of Big Bang nucleosynthesis as a function of the Higgs vacuum
expectation value $v$. We compare the methods of our calculation to previous
literature including the recently published work of Burns et al. [1]. The PDG
result for the $^4$He abundance can be explained within $2\sigma$ by $-0.014
\leq \delta v / v \leq 0.026$, for deuterium we find the constraint $-0.005
\leq \delta v / v \leq -0.001$. These bounds are more stringent than what was
found earlier.
