Work

Resolving negative cross section of quarkonium hadroproduction using soft gluon factorization

Year: 2023

Type: article

Abstract: It was found that, using nonrelativistic QCD factorization, the predicted ${\ensuremath{\chi}}_{cJ}$ hadroproduction cross section at large ${p}_{T}$ can be negative. The negative cross sections originate from terms proportional to plus function in ${^{3}P}_{J}^{[1]}$ channels, which are remnants of the infrared subtraction in matching the ${^{3}P}_{J}^{[1]}$ short-distance coefficients. In this article, we find that the above terms can be factorized into the nonperturbative ${^{3}S}_{1}^{[8]}$ soft gluon distribution function in the soft gluon factorization (SGF) framework. Therefore, the problem can be naturally resolved in SGF. With an appropriate choice of nonperturbative parameters, the SGF can indeed give positive predictions for ${\ensuremath{\chi}}_{cJ}$ production rates within the whole ${p}_{T}$ region. The production of $\ensuremath{\psi}(2S)$ is also discussed, and there is no negative cross section problem.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.108.014003

Authors: An-Ping Chen, Yan-Qing Ma, Ce Meng

Institutions: Jiangxi Normal University, Peking University, Collaborative Innovation Center of Quantum Matter, State Key Laboratory of Nuclear Physics and Technology

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: National Natural Science Foundation of China, National Key Research and Development Program of China

Awards: G1363896663, G1842138264, G2505060883, G2883589413, G552635341