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In neutral meson mixing, a certain class of convolution integrals is requiredwhose solution involves the error function $\mathrm{erf}(z)$ of a complexargument $z$. We show the the general shape of the analytic solution of theseintegrals, and give expressions which allow the normalisation of theseexpressions for use in probability density functions. Furthermore, we deriveexpressions which allow a (decay time) acceptance to be included in theseintegrals, or allow the calculation of moments.  We also describe the implementation of numerical routines which allow thenumerical evaluation of $w(z)=e^{-z^2}(1-\mathrm{erf}(-iz))$, sometimes alsocalled Faddeeva function, in C++. These new routines improve over the oldCERNLIB routine(s) WWERF/CWERF in terms of both speed and accuracy. These newroutines are part of the RooFit package, and have been distributed with itsince ROOT version 5.34/08.

Decay time integrals in neutral meson mixing and their efficient evaluation