Hyperon polarization from the twist-3 distribution in the unpolarized proton-proton collision

Abstract

We investigate the transverse polarization of a hyperon produced in the high-energy unpolarized proton-proton collision, $pp\to {\Lambda }^{\uparrow }X$, based on the collinear twist-3 factorization formalism. We focus on the contribution from the twist-3 distribution in one of the unpolarized proton and the transversity fragmentation function for the final hyperon. Utilizing the "master formula" for the soft-gluon-pole cross section, we clarify the reason for why it receives only the derivative term of the twist-3 distribution. We also present the first computation of the soft-fermion-pole cross section and found that it vanishes. This means that the derivative of the soft-gluon-pole function is the only source for the twist-3 cross section from the unpolarized twist-3 distribution, which provides a useful basis for a phenomenological analysis.

13pages, 5 figures

References in corpus (21)

• Single transverse-spin asymmetry in high transverse momentum pion production in pp collisions
• Forward Neutral Pion Transverse Single Spin Asymmetries in p+p Collisions at \sqrt{s}=200 GeV
• Twist-3 Formalism for Single Transverse Spin Asymmetry Reexamined: Semi-Inclusive Deep Inelastic Scattering
• Single Transverse Spin Asymmetries of Identified Charged Hadrons in Polarized p+p Collisions at $\sqrt{s}$ = 62.4 GeV
• An Observation Concerning the Process Dependence of the Sivers Functions
• Towards an explanation of transverse single-spin asymmetries in proton-proton collisions: the role of fragmentation in collinear factorization
• Collins Fragmentation and the Single Transverse Spin Asymmetry
• Single Transverse Spin Asymmetry for Large-p_T Pion Production in Semi-Inclusive Deep Inelastic Scattering
• Transverse Single-Spin Asymmetry and Cross-Section for pi0 and eta Mesons at Large Feynman-x in Polarized p+p Collisions at sqrt(s)=200 GeV
• Universal Structure of Twist-3 Soft-Gluon-Pole Cross Sections for Single Transverse-Spin Asymmetry
• Master Formula for Twist-3 Soft-Gluon-Pole Mechanism to Single Transverse-Spin Asymmetry
• Contribution of twist-3 fragmentation function to single transverse-spin asymmetry in semi-inclusive deep inelastic scattering
• Probing the three-gluon correlation functions by the single spin asymmetry in p^\uparrow p\to DX
• A phenomenological study of single transverse-spin asymmetry for inclusive light-hadron productions at RHIC
• Cross Section and Transverse Single-Spin Asymmetry of $\eta$ Mesons in $p^{\uparrow }+p$ Collisions at $\sqrt{s}=200$ GeV at Forward Rapidity
• Three-gluon contribution to the single spin asymmetry for light hadron production in pp collision
• Master Formula for the Three-Gluon Contribution to Single Spin Asymmetry in Semi-Inclusive Deep Inelastic Scattering
• Transverse single-spin asymmetries in $p^{\uparrow }p\to \gamma X$ from quark-gluon-quark correlations in the proton
• Single-spin asymmetries in the leptoproduction of transversely polarized $\Lambda$ hyperons
• Hard- and soft-fermion-pole contributions to single transverse-spin asymmetry for Drell-Yan process
• Hyperon Polarization in Unpolarized Scattering Processes

Cited by in corpus (10)

• Parton Fragmentation Functions
• Phenomenological constraints on $A_N$ in $p^{\uparrow }p\to \pi X$ from Lorentz invariance relations
• Polarized hyperon production in single-inclusive electron-positron annihilation at next-to-leading order
• Twist-3 fragmentation contribution to polarized hyperon production in unpolarized hadronic collisions
• Exact Relations for Twist-3 Gluon Distribution and Fragmentation Functions from Operator Identities
• Transverse spin observables in hard-scattering hadronic processes within collinear factorization
• Twist-3 Gluon Fragmentation Contribution to Polarized Hyperon Production in Unpolarized Proton-Proton Collision
• Transverse Polarization of Hyperons Produced in Semi-Inclusive Deep Inelastic Scattering
• Twist-3 effect from the longitudinally polarized proton for $A_{LT}$ in hadron production from $pp$ collisions
• Measurement of transverse $\Lambda$ and $\bar{\Lambda }$ hyperon polarization in $p$Pb collisions at $\sqrt{s_{NN}}=5.02$ TeV