Inclusive Hadroproduction of $P$-wave Heavy Quarkonia in pNRQCD

TL;DR

This paper develops a formalism within potential NRQCD to compute long-distance matrix elements for inclusive production of P-wave heavy quarkonia, enabling predictions without relying on experimental cross section data.

Contribution

It introduces a new method to determine color-octet NRQCD matrix elements directly from theory for P-wave quarkonia, applicable to both charmonia and bottomonia.

Findings

Predicted inclusive production cross sections of χ_cJ and χ_bJ at the LHC.

Results are in good agreement with experimental measurements.

Formalism applies to strongly coupled quarkonia.

Abstract

We compute NRQCD long-distance matrix elements that appear in the inclusive production cross sections of $P$-wave heavy quarkonia in the framework of potential NRQCD. The formalism developed in this work applies to strongly coupled charmonia and bottomonia. This makes possible the determination of color-octet NRQCD long-distance matrix elements without relying on measured cross section data, which has not been possible so far. We obtain results for inclusive production cross sections of $\chi_{cJ}$ and $\chi_{bJ}$ at the LHC, which are in good agreement with measurements.