{ "id": "2204.02318", "version": "v1", "published": "2022-04-05T16:19:39.000Z", "updated": "2022-04-05T16:19:39.000Z", "title": "ee$\\in$MC: Simulation of $\\bf e^{+}e^{-} \\to μ^{+} μ^{-} (γ) $ and $\\bf e^{+}e^{-} \\to τ^{+}τ^{-} (γ) $ Events", "authors": [ "Ian M. Nugent" ], "comment": "35 pages, 15 Figures, 7 Tables. Submitted to Physics Letter B 2021-05-02, Nuclear Physics B 2021-10-28", "categories": [ "hep-ph", "hep-ex" ], "abstract": "We present a new Monte-Carlo generator, {\\tt ee$\\in$MC}, for the simulation of $e^{+}e^{-} \\to \\mu^{+} \\mu^{-} (\\gamma) $, $e^{+}e^{-} \\to \\tau^{+}\\tau^{-} (\\gamma) $ and $\\tau$ lepton decays which is suitable for $e^{+}e^{-}$ colliders from threshold up to energy of $\\sim 10.58GeV$. The $e^{+}e^{-} \\to \\mu^{+} \\mu^{-}(\\gamma) $, $e^{+}e^{-} \\to \\tau^{+}\\tau^{-}(\\gamma)$ interactions are computed up to the exact LO matrix element where the running of $\\alpha_{QED}$ includes both the LO leptonic and hadronic vacuum polarization. Infra-red divergences are investigated within the Yennie-Frautschi-Suura Exponentiation formalism, where several well-known approximations and a formulation based on the exact LO contribution to the soft and virtual photons are applied. The simulation of the $\\tau$ lepton consists of the leptonic decay modes at Born level and theoretical models based on Flux-Tube Breaking Models and Chiral Resonance Lagrangian Models as well as experimental models for the majority of semi-leptonic decay modes. This includes hadronic models for investigating the origin of low mass scalar sector recently observed in decays of the $\\tau$ lepton and their association with the origin of the constituent-quark mass through Chiral-symmetry Breaking.", "revisions": [ { "version": "v1", "updated": "2022-04-05T16:19:39.000Z" } ], "analyses": { "keywords": [ "simulation", "low mass scalar sector", "exact lo matrix element", "chiral resonance lagrangian models", "semi-leptonic decay modes" ], "note": { "typesetting": "TeX", "pages": 35, "language": "en", "license": "arXiv", "status": "editable" } } }