Crystal assisted steering of muons and antimuons at the muon collider

The muon collider is a proposed accelerator designed to push the boundaries of particle physics, aiming to investigate fundamental interaction at an unprecedented energy range. Operating with both positive and negative particles at the TeV scale, this ambitious machine presents unique challenges in beam control. Bent crystals offer a promising solution for steering high-energy particle beams in such accelerators. This study explores the potential of bent crystals for deflecting muons and antimuons, focusing on their use for beam extraction and collimation at the Muon Collider. A series of simulations were conducted to assess the efficiency of two deflection mechanisms: planar channeling and axial stochastic deflection, at the 1.5 TeV energy stage of the proposed collider. The study addresses the challenges of steering negatively charged particles via coherent interactions in the crystal, providing valuable insights into the most effective beam manipulation techniques at this energy scale.