Predicting the $\sin {\varphi }_S$ Transverse Single-spin Asymmetry of Pion Production at an Electron Ion Collider

Abstract

We study the transverse single-spin asymmetry with a $\sin {\varphi }_S$ modulation in semi-inclusive deep inelastic scattering. Particularly, we consider the case in which the transverse momentum of the final state hadron is integrated out. Thus, the asymmetry is merely contributed by the coupling of the transversity distribution function $h_1(x)$ and the twist-3 collinear fragmentation function $\tilde{H}(z)$. Using the available parametrization of $h_1(x)$ from SIDIS data and the recent extracted result for $\tilde{H}(z)$, we predict the $\sin {\varphi }_S$ asymmetry for charged and neutral pion production at an Electron Ion Collider. We find that the asymmetry is sizable and could be measured. We also study the impact of the leading-order QCD evolution effect and find that it affects the $\sin {\varphi }_S$ asymmetry at EIC considerably.

version published in PRD

References in corpus (7)

• Global analysis of fragmentation functions for pions and kaons and their uncertainties
• Forward Neutral Pion Transverse Single Spin Asymmetries in p+p Collisions at \sqrt{s}=200 GeV
• 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
• 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
• Transverse single-spin asymmetries of pion production in semi-inclusive DIS at subleading twist
• Twist-3 fragmentation functions in a spectator model with gluon rescattering

Cited by in corpus (6)

• Phenomenological constraints on $A_N$ in $p^{\uparrow }p\to \pi X$ from Lorentz invariance relations
• Twist-3 T-odd fragmentation functions $G^{\perp }$ and ${\tilde{G}}^{\perp }$ in a spectator model
• The $g_T(x)$ contribution to single spin asymmetries in SIDIS
• Model predictions for azimuthal spin asymmetries for HERMES and COMPASS kinematics
• Predicting the $\sin {\varphi }_S$ Single-Spin-Asymmetry of $\Lambda$ Production off transversely polarized nucleon in SIDIS
• The Collins asymmetry in electroproduction of Kaon at the electron ion colliders within TMD factorization