# Mass methods

Variable/Method Reference(s)/Code Realm of Applicability Precision Good for Fails for Unknown/Future directions
MT (ancient) one missing particle
Meff hep-ph/9610544[1], hep-ph/0006276[2] Discovery of New Physics with massive particles Bad, quoted to be 20%-50%, but needs to be interpreted in a specific model. Estimating mass scale of particles with dominant cross section. Does not identify process, but gives some information on particle content of dominant topologies.
HT always does not identify process in any way
Edges (lots) Mass differences in leptonic decays. Dependence on mass scale is weak. Intermediate 3-body decays? Combinatoric (other side) jets not considered. Calorimeter nonlinearity?
MT2 hep-ph/9906349[3]
MT2 kink ("stransverse" mass) arXiv:0709.0288[4] 4-body final state, 2 missing large mass differences and large pT small mass differences or no pT
MTn 4-body final state, n missing
MTgen arXiv:0708.1028[5]
M2C arXiv:0712.0943[6]
M3C arXiv:0811.2138[7]
$\sqrt{s}_{min}$ arXiv:0812.1042[8]
Exactly-constrained Polynomials arXiv:0707.0030[9] 4 on-shell intermediate resonances, 2 missing Apply to squark-neutralino2-slepton-neutralino1 cascade where other side is squark-neutralino1.
Multi-event Polynomial intersection arXiv:0802.4290[10] 5 or more on-shell intermediate resonances, 2 missing Statistics of histograms created with n-event subsets; If mass differences are fixed and the masses are increased, what happens? (Sabine Kraml); Develop methods for asymmetric chains and < 6 intermediate resonances.
• How can we define "Precision" in a manner that lets us meaningfully compare different methods? A lot of process-specific assumptions and backgrounds usually enter the application of each method.
• In general, all methods need to be systematically tested in cases where the assumptions needed for the method are not satisfied.
• Appropriate consideration of ISR/FSR jets is not usually considered. Requires 2->3 matrix elements where the hard scattering process includes a possible extra hard quark/gluon radiation.