The existence of left-chiral particles and their fundamental role in parity violation and the weak interaction are established pillars of the Standard Model of particle physics; no citation is needed for this textbook fact.
The claim states that left-chiral particles exist and are a fundamental feature of the weak interaction, which is a textbook statement of fact in physics (V-A theory of weak interactions, parity violation). This is a well-established foundational concept of modern particle physics. Although retrieved papers discuss chirality in other contexts (such as molecular chirality or optics), standard foundational physical principles of this nature qualify as common knowledge within the domain and do not require empirical literature verification.