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We compute $P$-wave quarkonium wavefunctions at the origin in the$\overline{\rm MS}$ scheme based on nonrelativistic effective field theories.We include nonperturbative effects from the long-distance behaviors of thepotential, while the short-distance behaviors are determined from perturbativeQCD. We obtain $\overline{\rm MS}$-renormalized $P$-wave quarkoniumwavefunctions at the origin that have the correct scale dependences that areexpected from factorization formalisms, so that the dependences on the schemeand scale cancel in physical quantities. This greatly reduces the theoreticaluncertainties associated with scheme and scale dependences in predictions ofdecay and production rates. Based on the calculation of the $P$-wavewavefunctions at the origin in this work, we make first-principles predictionsof electromagnetic decay rates and exclusive electromagnetic production ratesof $P$-wave charmonia and bottomonia, and compare them with measurements.

$P$-wave quarkonium wavefunctions at the origin in the $\overline{\rm MS}$ scheme