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Paper

TESTING March 19, 2026

Probing the Color-Octet Mechanism via Dihadron Fragmentation in $χ_b$ Decays

Authors

Zhi-Guo He, Guanghui Li, Yu-Jie Tian, Xin-Kai Wen, Bin Yan

Abstract

The color-octet (CO) mechanism is a cornerstone of non-relativistic QCD, yet its long-distance matrix elements remain limited, preventing stringent tests of the theory. We demonstrate that the Artru-Collins asymmetry in hadronic decays of the $P$-wave bottomonium state $χ_{b2}$ provides a direct probe of CO dynamics. The asymmetry arises exclusively from the CO decay channel, whereas the color-singlet (CS) contribution affects only the unpolarized rate, so that a nonzero signal constitutes unambiguous evidence of the CO mechanism. This observable provides a novel way to extract the ratio $ρ_8$ between CO and CS matrix elements. Focusing on $e^+e^-\toΥ(2S)\toγ\,χ_{b2}$ at Belle, we show that the asymmetric beam configuration preserves the asymmetry in the laboratory frame and avoids the strong suppression present in the center-of-mass frame. With the Belle II dataset, $ρ_8$ could be determined with sufficient precision to address the long-standing discrepancy between the lattice calculations and phenomenological determinations.

Metadata

arXiv ID: 2603.18874
Provider: ARXIV
Primary Category: hep-ph
Published: 2026-03-19
Fetched: 2026-03-20 06:02

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