NLO QCD Corrections for ${\chi }_{cJ}$ Inclusive Production at $B$ Factories

Abstract

The next-to-leading order (NLO) quantum chromodynamics (QCD) corrections for ${\chi }_{cJ}{(}^3{P}_J^{[1]}{,}^3{S}_1^{[8]})$, the P-wave charmoniums inclusive production at $B$ factories are calculated utilizing the non-relativistic QCD (NRQCD) factorization formalism. Large NLO corrections are found, especially for ${}^3{P}_0^{[1]}$ and ${}^3{S}_1^{[8]}$ configurations. Numerical evaluation indicates that the total cross sections of ${\chi }_{cJ}$ inclusive production processes are at the order of $10$fb, which are accessible in BELLE II(super-B) experiment.

Comments: 12 pages, 4 figures. v2: revised and expanded version