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Improved Muon Calibration Method for Angular Dependence Correction

Explore the challenges and solutions in muon calibration, focusing on correcting angular shortcomings and old path length errors. Results reveal the benefits of new correction methods. Authors Ryan Nichol and Chris Smith provide insights on angular distribution, pulse height, and path length factors in muon calibration. The new correction method is discussed, along with simulation results and the reduction of even/odd asymmetry. Despite progress, further investigation is needed for perfect calibration. Dive into the complexities of muon calibration and its impact on accurate measurements in this study by Nichol and Smith.

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Improved Muon Calibration Method for Angular Dependence Correction

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  1. Muon Calibration Difficulties Calibration Shortcomings Angular Dependence Old Path Length Correction New Correction Results

  2. Problems With Old Method • Old Calibration Required Double Ended Hits • Beam Muons Show Even/Odd Asymmetry Ryan Nichol, Chris Smith

  3. Angular Distribution • Large Angular Asymmetry at CalDet. • Due To Orientation of Planes. Ryan Nichol, Chris Smith

  4. Angular Dependence of Pulse Height • Corner Clippers Removed. • Two Views Have Similar Dependence. • Strange Bimodal Shape. Ryan Nichol, Chris Smith

  5. Path Length Factors • Angular Dependence. • Finite Strip Width. • Affects Two Orientations Differently. • Minimum Path Length In Strip. • Path Length In Neighbouring Strips. • Transverse Position Across Strip Width. • Other Effects?? Ryan Nichol, Chris Smith

  6. Old Path Length Correction • Tries To Account For: • Angle • Finite Strip Width • Minimum Path Length • Doesn’t Succeed. • Introduces Even/Odd Bias. Ryan Nichol, Chris Smith

  7. Simulation Results • Simulated Muons In CalDet With Measured Angular Distribution. • Calculated Path Length Differs From True Path Length. Ryan Nichol, Chris Smith

  8. New Path Length Correction • The ‘Solution’: • 92% • Only Accounts For Angles. • Corrects to 2% level. Ryan Nichol, Chris Smith

  9. Results • New Calibration Removes Some Of The Even Odd Asymmetry • Still not an ideal calibration. Ryan Nichol, Chris Smith

  10. Summary • Large Angular Asymmetry Between Views. • Due To Orientation Of Planes. • Complicated Pulse Height Dependence. • Old (Current) Path Length Correction Wrong. • Best Results From A ‘Fudge Factor’ Ryan Nichol, Chris Smith

  11. Forwards-Backwards Asymmetry • Seemingly More Energy Deposited By Cosmics Traveling Backwards Through The Detector. • Steel-Scintillator-Air or Steel-Air-Scintillator? • Groove Position? • Needs Further MC Investigation. Ryan Nichol, Chris Smith

  12. More Front-Back Fun Ryan Nichol, Chris Smith

  13. New Tracker Working Well Ryan Nichol, Chris Smith

  14. Transverse Position Across Strip • Pulse Height Depends on Transverse Position Across Strip. Ryan Nichol, Chris Smith

  15. Error On Determination Of Angle • Bands Correspond To Muon Track Length. • Accuracy Limited By Strip Resolution. Ryan Nichol, Chris Smith

  16. Geometrical Constraints • Path Length Constrained By: • Finite Strip Width • Minimum PL in Strip. • Maximum PL in neighbouring strips. • These extrema are determined by light output. Ryan Nichol, Chris Smith

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