Polarized hyperon production in single-inclusive electron-positron annihilation at next-to-leading order

We perform a systematic study on the twist-3 gluon distribution and fragmentation functions which appear in the collinear twist-3 factorization for hard inclusive processes. Three types of twist-3 distribution and fragmentation functions, i.e., intrinsic, kinematical and dynamical ones, which are necessary to describe all kinds of twist-3 cross sections, are related to each other by the operator identities based on the QCD equation of motion and the Lorentz invariance properties of the correlation functions. We derive the exact relations for all twist-3 gluonic distribution and fragmentation functions for a spin-1/2 hadron. Those relations allow one to express intrinsic and kinematical twist-3 gluon functions in terms of the twist-2 and dynamical twist-3 functions, which provides a basis for the renormalization of intrinsic and kinematical twist-3 functions. In addition, those model independent relations are crucial to guarantee gauge invariance and frame independence properties of the twist-3 cross sections.

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“…The third type of twist-3 FFs are the dynamical ones which are defined as the three gluon correlation function [37][38][39]:…”

Section: Twist-gluon Fragmentation Functions 31 Intrinsic Kinematicmentioning

confidence: 99%

“…As we will see below, constraint relations for the twist-3 gluonic FFs involve these F -type quark-gluon correlation functions through QCD e.o.m. We collectively call the functions in (39) and (43) dynamical twist-3 FFs.…”

Section: Twist-gluon Fragmentation Functions 31 Intrinsic Kinematicmentioning

confidence: 99%

Exact relations for twist-3 gluon distribution and fragmentation functions from operator identities

2020

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“…In this section, we summarize the purely gluonic twist-3 fragmentation functions (FFs) [15]. (Our notation here is slightly different.)…”

Section: Twist-3 Purely Gluonic Fragmentation Functions For λmentioning

confidence: 99%

Twist-3 Gluon Fragmentation Contribution to the Polarized Hyperon Production in Unpolarized Proton–Proton Collision

Yabe

Koike

Metz

et al. 2019

Proceedings of the 8th International Conference on Quarks and Nuclear Physics (QNP2018)

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We study transverse polarization of hyperons produced in unpolarized proton-proton collision, pp → Λ ↑ X, based on the collinear twist-3 factorization. We focus on the twist-3 gluon fragmentation contribution to this process, which is potentially as important as the previously calculated contributions from the twist-3 distribution in the initial proton and the twist-3 quark-fragmentation for Λ ↑ . After summarizing the complete set of the purely gluonic twist-3 fragmentation functions for Λ ↑ , we provide a formalism of calculating its contribution to pp → Λ ↑ X.

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“…In this section, we summarize the purely gluonic twist-3 Fragmentation Functions (FFs) [19]. (Our notation here is slightly different.)…”

Section: Contribution From Twist-3 Gluon Fragmentation Functions 31 mentioning

confidence: 99%

Twist-3 fragmentation contribution to polarized hyperon production in unpolarized proton-proton collision

Yabe¹,

Koike²,

Metz³

et al. 2019

Proceedings of 23rd International Spin Physics Symposium — PoS(SPIN2018)

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We discuss the production of transversely polarized hyperons in unpolarized proton-proton collisions in the framework of the collinear twist-3 factorization. We focus on the contribution from the twist-3 fragmentation functions for the final hyperon, that represent the effect of multi-parton correlations in the fragmentation process. This contribution consists of the quark fragmentation one and the gluon fragmentation one. We present the twist-3 cross section for the former in the Leading Order (LO) with respect to the QCD coupling constant. We also present a new formalism to calculate the cross section for the latter contribution. These contributions are as important as that from the twist-3 distribution in the initial proton combined with the transversity fragmentation function for the final hyperon.

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Polarized hyperon production in single-inclusive electron-positron annihilation at next-to-leading order

Cited by 28 publications

References 85 publications

Exact relations for twist-3 gluon distribution and fragmentation functions from operator identities

Exact relations for twist-3 gluon distribution and fragmentation functions from operator identities

Twist-3 Gluon Fragmentation Contribution to the Polarized Hyperon Production in Unpolarized Proton–Proton Collision

Twist-3 fragmentation contribution to polarized hyperon production in unpolarized proton-proton collision

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