  The low-energy $\pi\pi$ amplitude is computed explicitly to two-loop accuracy
in the chiral expansion. It depends only on six independent (combinations of)
low-energy constants which are not fixed by chiral symmetry. Four of these
constants are determined {\it via} sum rules which are evaluated using $\pi\pi$
scattering data at higher energies. Dependence of the low-energy phase shifts
and of the threshold parameters on the remaining two constants (called $\alpha$
and $\beta$) are discussed and compared to the existing data from $K_{l4}$
experiments. Using generalised $\chi$PT, the constants $\alpha$ and $\beta$ are
related to fundamental QCD parameters such as the quark condensate $\langle
0|\bar{q}q|0\rangle$ and the quark mass ratio $m_s/\widehat{m}$. It is shown
that forthcoming accurate low-energy $\pi\pi$ data can be used to provide, for
the first time, experimental evidence in favour of or against the existence of
a large quark-antiquark condensate in the QCD vacuum.
