Algebraic singularity method for mass measurements with missing energy

Area of Science:

• High Energy Physics
• Particle Physics
• Collider Physics

Background:

• Mass measurement is crucial for particle identification and understanding fundamental interactions.
• Existing methods like endpoint and transverse mass have limitations in complex event topologies.
• The study of missing energy events is vital for discovering new particles and phenomena.

Purpose of the Study:

• To introduce a novel, generalized method for mass measurements.
• To extend applicability to all event topologies featuring missing energy.
• To provide new tools for analyzing "missing particle" scenarios.

Main Methods:

• Utilizing phase space singularity structures for mass determination.
• Generalizing existing endpoint and transverse mass techniques.
• Developing novel analysis strategies for missing particle events.

Main Results:

• A unified framework for mass measurements in missing energy events.
• Demonstration of subsuming traditional methods.
• New capabilities for studying specific LHC events like double chain production.

Conclusions:

• The proposed phase space singularity method offers a versatile and powerful approach to mass measurements.
• This technique enhances the study of missing energy signatures in particle physics.
• It opens new avenues for exploring new physics at colliders like the LHC.