Inclusive $h_c$ production at $B$ factories

TL;DR

This paper studies the inclusive production of the $h_c$ meson at B factories within the NRQCD framework, analyzing both light and charmed hadron associated production, highlighting the dominance of different channels.

Contribution

It provides the first detailed analysis of $h_c$ production at B factories including both color-singlet and octet channels, offering insights into the dominant mechanisms.

Findings

Color-octet channel dominates $h_c$ + light hadrons production.

$h_c$ + charmed hadrons production is smaller and dominated by color-singlet.

Future measurements can constrain the color-octet matrix element.

Abstract

Within the nonrelativistic QCD (NRQCD) factorization framework, we investigate the inclusive production of the $h_c$ meson associated with either light hadrons or charmed hadrons at $B$ factory energy $\sqrt{s}=10.58$ GeV. Both the leading color-singlet and color-octet channels are included. For the $h_c$ production associated with light hadrons, the total production rate is dominated by the color-octet channel, thus the future measurement of this process may impose useful constraint on the value of the color-octet matrix element $<{\cal O}^{h_c}_8({}^1S_0)>$; for the $h_c$ production associated with charmed hadrons, the total production rate is about one order of magnitude smaller, and dominated by the color-singlet channel.