P-wave quarkonium wavefunctions at the origin in the MS scheme

We compute P-wave quarkonium wavefunctions at the origin in the MS scheme based on nonrelativistic effective field theories. We include nonperturbative effects from the long-distance behaviors of the potential, while the short-distance behaviors are determined from perturbative QCD. We obtain MS-renormalized P-wave quarkonium wavefunctions at the origin that have the correct scale dependences that are expected from factorization formalisms, so that the dependences on the scheme and scale cancel in physical quantities. This greatly reduces the theoretical uncertainties associated with scheme and scale dependences in predictions of decay and production rates. Based on the calculation of the P-wave wavefunctions at the origin in this work, we make first-principles predictions of electromagnetic decay rates and exclusive electromagnetic production rates of P-wave charmonia and bottomonia, and compare them with measurements.

Automated summary

In this study, we calculated P-wave quarkonium wavefunctions at the origin in the MS scheme using nonrelativistic effective field theories. We obtained MS-renormalized wavefunctions with correct scale dependences, reducing theoretical uncertainties in predictions of decay and production rates. Based on this calculation, we made first-principles predictions of electromagnetic decay rates and exclusive electromagnetic production rates of P-wave charmonia and bottomonia, comparing them with experimental measurements.