Twist-3 fragmentation contribution to polarized hyperon production in unpolarized hadronic collisions

Koike, Yasuhiro; Metz, Andreas; Pitonyak, Daniel; Yabe, Kenta; Yoshida, Shinsuke

doi:10.1103/physrevd.95.114013

Cited by 26 publications

(23 citation statements)

References 92 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The evolution equation for N (x 1 , x 2 ) and G F (x 1 , x 2 ) have already been derived in [55]. The above relations (34), (35) and (36) shows it also determines the scale dependence of ∆G 3T (x), ∆G (1) T and ∆H 3T (x).…”

Section: Solution For Intrinsic and Kinematical Dfs In Terms Of Twistmentioning

confidence: 85%

“…This result is new. As shown in (34), (35) and (36), the intrinsic and kinematical twist-3 gluonic distributions are completely determined by ∆G(x) (often called Wandzura-Wilczek contribution) and the F -type purely gluonic correlation function N (x 1 , x 2 ) and the quark-gluon correlation function G F (x 1 , x 2 ). Since these relations are model independent exact relations, they need to be satisfied in phenomenological applications.…”

Section: Solution For Intrinsic and Kinematical Dfs In Terms Of Twistmentioning

confidence: 99%

See 1 more Smart Citation

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

2020

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Solution For Intrinsic and Kinematical Dfs In Terms Of Twistmentioning

confidence: 85%

Section: Solution For Intrinsic and Kinematical Dfs In Terms Of Twistmentioning

confidence: 99%

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

2020

Self Cite

View full text Add to dashboard Cite

show abstract

“…The LO cross section was calculated in [11] following the formalism developed in [8]. It receives contributions from the three types of twist-3 FFs introduced in the previous subsection, which is diagrammatically shown in Fig.…”

Section: Twist-3 Quark Fragmentation Contribution To the Cross Sectionmentioning

confidence: 99%

“…It is represented as the twist-3 quark Fragmentation Function (FF) and the twist-3 gluon FF of the hyperon. The Leading-Order (LO) cross section from the former was calculated in [11]. Here we extend the study to include the latter contribution.…”

Section: Introductionmentioning

confidence: 96%

See 1 more Smart Citation

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)

Self Cite

View full text Add to dashboard Cite

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.

show abstract

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

Kang

Pitonyak

Schlegel

et al. 2019

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

We study the production of polarized Λ-hyperons in electron-positron annihilation. We are particularly interested in the transverse-spin dependence of the cross section for unpolarized incident electron-positron pairs. At high energies this process may be described in the collinear twist-3 framework, where the hadronization transition of partons into a transversely polarized Λ-hyperon can be written in terms of collinear twist-3 fragmentation matrix elements. We calculate the hard partonic cross sections and interference terms in perturbative QCD to next-to-leading order accuracy. We find that the QCD equation of motion plays a crucial role in our analysis. As a byproduct, assuming the validity of QCD factorization for twist-3 observables at next-to-leading order, we derive the evolution equation for the relevant twist-3 fragmentation matrix element.

show abstract

Twist-3 fragmentation contribution to polarized hyperon production in unpolarized hadronic collisions

Cited by 26 publications

References 92 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 fragmentation contribution to polarized hyperon production in unpolarized proton-proton collision

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

Contact Info

Product

Resources

About