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We introduce a new formulation of the Conviqt convolution algorithm in termsof spin harmonics, and apply this to the problem of sidelobe correction forBeyondPlanck, the first end-to-end Bayesian Gibbs sampling framework for CMBanalysis. We compare our implementation to the previous Planck LevelSimplementation, and find good agreement between the two codes in terms ofaccuracy, but with a speed-up reaching a factor of 3--10, depending on thefrequency bandlimits, $l_{\textrm{max}}$ and $m_{\textrm{max}}$. The newalgorithm is significantly simpler to implement and maintain, since alllow-level calculations are handled through an external spherical harmonictransform library. We find that our mean sidelobe estimates for Planck LFIagree well with previous efforts. Additionally, we present novel sidelobe rmsmaps that quantify the uncertainty in the sidelobe corrections due tovariations in the sky model.

BeyondPlanck VIII. Efficient Sidelobe Convolution and Correction through Spin Harmonics