Dihadron fragmentation functions in the quark-jet model: Transversely polarized quarks

Abstract

Within the most recent extension of the quark-jet hadronization framework, we explore the transverse-polarization-dependent dihadron fragmentation functions (DiFFs) $H_1^{\sphericalangle }$ and $H_1^{\perp }$ of a quark into ${\pi }^{+}{\pi }^{-}$ pairs. Monte Carlo (MC) simulations are employed to model polarized quark hadronization and calculate the corresponding number densities. These, in turn, are used to extract the Fourier cosine moments of the DiFFs $H_1^{\sphericalangle }$ and $H_1^{\perp }$. A notable finding is that there are previously unnoticed apparent discrepancies between the definitions of the so-called interference DiFF (IFF) $H_1^{\sphericalangle }$, entering the cross sections for two-hadron semi-inclusive electroproduction, and those involved in the production of two pairs of hadrons from back-to-back jets in electron-positron annihilation. This manuscript completes the studies of all four leading twist DiFFs for unpolarized hadron pairs within the quark-jet framework, following our previous work on the helicity-dependent DiFF $G_1^{\perp }$.

10 pages, 6 figures. V3: Updated to version published in PRD with minor revisions of the text

References in corpus (12)

• Evidence for a Transverse Single-Spin Asymmetry in Leptoproduction of pi+pi- Pairs
• Modeling dihadron fragmentation functions
• Evolution equations for extended dihadron fragmentation functions
• The NJL-jet model for quark fragmentation functions
• Calculating Kaon Fragmentation Functions from NJL-Jet Model
• Production of two hadrons in semi-inclusive Deep Inelatic Scattering
• Monte Carlo Simulations of Hadronic Fragmentation Functions using NJL-Jet Model
• Invariant-mass and fractional-energy dependence of inclusive production of di-hadrons in $e^{+}{e}^{-}$ annihilation at $\sqrt{s}=$ 10.58 GeV
• Dihadron fragmentation functions in the quark-jet model: Longitudinally polarized quarks
• Monte Carlo Implementation of Polarized Hadronization
• Measurement of Azimuthal Modulations in the Cross-Section of Di-Pion Pairs in Di-Jet Production from Electron-Positron Annihilation
• Azimuthal asymmetries in SIDIS di-hadron muoproduction off longitudinally polarized protons at COMPASS

Cited by in corpus (2)

• Single-spin asymmetry in dihadron production in SIDIS off the longitudinally polarized nucleon target
• Single spin asymmetry $A_{UL}^{\sin (2{\varphi }_h-2{\varphi }_R)}$ in dihadron semi-inclusive DIS