Probing new physics with polarization components of the tau lepton in quasielastic e − p → Λ c τ − scattering process

• Published in: Physical review. D 2024-04, Vol.109 (7), Article 075025
• Main Authors: Yan, Xin-Shuai, Zhang, Liang-Hui, Chang, Qin, Yang, Ya-Dong
• Format: Article
• Language: English
• ISSN: 2470-0010; 2470-0029
• DOI: 10.1103/PhysRevD.109.075025

Kinematics restricts the ability of rare charm decays to explore the charged lepton-flavor-violation processes mediated by the quark-level c → u ℓ τ transition. To fill the gap, we propose exploring new physics (NP) through the quasielastic scattering process e − p → τ − Λ c and the polarization of the τ lepton. As analyzing modes for the τ polarization, we consider the decays τ − → π − ν τ , τ − → ρ − ν τ , and τ − → ℓ − ν ¯ ℓ ν τ , and show that the τ polarization components can be extracted from analyzing the kinematics of the τ visible decay products. In the framework of a general low-energy effective Lagrangian, we then perform a detailed analysis of the polarization components in various aspects and scrutinize possible NP signals. With one upcoming experimental setup, we finally demonstrate promising event rate can be expected for the cascade process and, even in the worst-case scenario—no signals are observed at all—it can still provide a competitive potential for constraining the NP, compared with those from the high- p T dilepton invariant mass tails at high-energy colliders.