Minimal Kinematic Constraints and MT2

Abstract

We clarify the relation between the variable MT2 and the method of kinematic constraints, both of which can be used for mass determination in events with two missing (dark matter) particles at hadron colliders. We identify a set of minimal kinematic constraints, including the mass shell conditions for the missing particles and their mother particles, as well as the constraint from the measured missing transverse momentum. We show that MT2 is the boundary of the mass region consistent with the minimal constraints. From this point of view, we also obtained a more efficient algorithm for calculating MT2. When more constraints are available in the events, we can develop more sophisticated mass determination methods starting from the MT2 constraint. In particular, we discuss cases when each decay chain contains two visible particles.

Version to appear in JHEP

References in corpus (7)

• Gluino Stransverse Mass
• Measuring superparticle masses at hadron collider using the transverse mass kink
• Accurate Mass Determinations in Decay Chains with Missing Energy
• Mass Determination of New States at Hadron Colliders
• Inclusive transverse mass analysis for squark and gluino mass determination
• Handling jets + missing E_T channel using inclusive mT2
• The Precision Determination of Invisible-Particle Masses at the LHC

Cited by in corpus (9)

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• Using kinematic boundary lines for particle mass measurements and disambiguation in SUSY-like events with missing energy
• Precise reconstruction of sparticle masses without ambiguities
• Measuring the Dark Force at the LHC
• Mass determination in sequential particle decay chains
• Precision Determination of Invisible-Particle Masses at the CERN LHC: II
• Effects of QCD radiation on inclusive variables for determining the scale of new physics at hadron colliders
• Fake Dark Matter at Colliders