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

TL;DR

This paper calculates next-to-leading order QCD corrections for inclusive $ ext{chi}_{cJ}$ production at B factories, revealing significant corrections and providing cross section estimates relevant for BELLE II experiments.

Contribution

It provides the first NLO QCD correction calculations for $ ext{chi}_{cJ}$ inclusive production using NRQCD, highlighting large corrections and experimental accessibility.

Findings

NLO corrections are large for certain $ ext{chi}_{cJ}$ states.

Total cross sections are around 10 fb.

Results are relevant for BELLE II measurements.

Abstract

The next-to-leading order (NLO) quantum chromodynamics (QCD) corrections for $\chi_{cJ}(^3P_J^{[1]},^3S_1^{[8]})$, 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 $^3P_0^{[1]}$ and $^3S_1^{[8]}$ 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.