The feasibility of single $\hat{I}›$ production via ${\ell }^{-}$ $+$ $p$ $\to$ $\hat{I}›$ $+$ $\hat{I}{½}_{\ell }$ at $e^{+}{e}^{-}$ colliders

Abstract

We present a comprehensive investigation of single $\hat{I}›$ hyperon production via the lepton-nucleon deep inelastic scattering (LNDIS) process, ${\ell }^{-}$ $+$ $p$ $\to$ $\hat{I}{½}_{\ell }$ $+$ $\hat{I}›$, in the experimental environment of electron-positron colliders. Our approach utilizes incident leptons originating from the decays of resonances ($J/\ddot{I}ˆ$, $\ddot{I}ˆ(2S)$, $\hat{I}\yen (1S)$, $\hat{I}\yen (2S)$, and $Z^0$) produced in $e^{+}{e}^{-}$ collisions, which then scatter off stationary protons in the surrounding detector materials. The differential and total cross sections are calculated using baryonic transition form factors parameterized with the $z$-expansion scheme within both the quantum chromodynamics (QCD) sum rule and lattice QCD frameworks. Our results indicate that the cross section increases with center-of-mass energy and is highly sensitive to the choice of form factors, resulting in significant theoretical uncertainties. This study highlights the experimental challenges in observing the LNDIS process at $e^{+}{e}^{-}$ colliders and underscores the need for improved determination of baryonic form factors. It serves as a valuable reference for future experimental searches and suggests that an anomalous observation of single $\hat{I}›$ hyperon production at $e^{+}{e}^{-}$ colliders could indicate new physics.

15 pages