Next-to-leading order QCD corrections to fully charm tetraquark hadronic decay

Abstract

We compute the next-to-leading order (NLO) QCD corrections to the light hadron decays of fully charm tetraquarks within the nonrelativistic QCD (NRQCD) factorization framework. The short-distance coefficients for the $gg$ and $q\bar{q}$ final states from fully charm tetraquarks are obtained analytically. The NLO corrections are found to be significant, altering the LO predictions by about $170\%$ for the $0^{++}$ state and $30\%$ for the $2^{++}$ state. The resulting $\mathcal{R}_{\mathrm{LH}}$ values are of order $10^{-5}$ to $10^{-4}$ MeV, about three orders of magnitude larger than the diphoton channel, as expected for strong-interaction decays. Our results provide updated theoretical predictions for future experimental studies of fully charm tetraquark decays.