Simulation of Synchrotron Radiation Emission for Holographic Reconstruction of Electron Momenta from Muon-to-Electron Conversion

Detecting charged lepton flavor violation (CLFV) would demonstrate physics beyond the Standard Model. The rate of muon transitions (μ → e) is an important bound on CLFV processes. Upcoming experiments such as Mu2e and COMET aim to tightly constrain its branching ratio. These constraints require precise momentum reconstructions for conversion electrons near 105 MeV. Mu2e uses many straw tubes[1] and COMET uses a cylindrical drift chamber[2]. Yet, both tracking techniques are limited by multiple scattering in their detector materials. We hope to avoid this problem, instead using emitted photons from synchrotron radiation for reconstruction. After emission due to synchrotron radiation, these photons are projected onto the detector, forming a 2D track, from which we need to reconstruct the particle momentum. Pixelated photodetectors such as LAPPDs[3] promise excellent time and position resolution and when arranged on the outside of the detector solenoid and do not interrupt the electron path. In this talk, I focus on the simulations used to demonstrate the feasibility of the project. The number, location, and energy of these photons are all important considerations for detector evaluation and must be simulated for varying detector setups.