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We propose a new method to evaluate the Lellouch-L\"uscher factor whichrelates the $\Delta I=3/2$ $K\to\pi\pi$ matrix elements computed on a finitelattice to the physical (infinite-volume) decay amplitudes. The method relieson the use of partially twisted boundary conditions, which allow the s-wave$\pi\pi$ phase shift to be computed as an almost continuous function of thecentre-of-mass relative momentum and hence for its derivative to be evaluated.We successfully demonstrate the feasibility of the technique in an exploratorycomputation.

$K\to(\pi\pi)_{I=2}$ decays and twisted boundary conditions