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Discover the different invariant mass distributions in plausible supersymmetric models using the Sequential Branched Damtp Pheno method. Learn how to deduce lower bounds on slepton mass and slepton-neutralino mass differences using mT2.
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Edges and things, and what experimenters do in HEP. Christopher Lester
What’s this all about? Damtp Pheno
Decay chains used Sequential Branched Damtp Pheno
Fitted distributions ll llq ll llq S5 lq high lq low lq high lq low O1 llq Xq llq Xq
What the different invariant mass distributions look like for a selection of plausible supersymmetric models. From Miller et. al. hep-ph/0410303
ΔM = MT2(χ) - χ Given: • the lepton momenta • the missing transverse momentum • an estimate “Χ” of the neutralino mass Deduce: • lower bound MT2(Χ) on slepton mass • slepton-neutralino mass difference ΔM Damtp Pheno
How does this mT2 work? • For each event you want a lower bound for mslepton • You get this by trying ALL POSSIBLE neutralino momenta, k, consistent with • observed missing momentum, • identical (unknown) slepton masses, • Hypothesised neutralino mass. • For each of these momenta, k, “that might have been” there is an “mslepton(k) that might have been”. • There is a least such mslepton(k) (call it mT2) which cannot be bigger than the true value of mslepton, because one of the k’s is acutally right! • Hence mT2 is a lower bound for mslepton. Damtp Pheno
So summarising: • In each event: • mT2<=mslepton. • Can show that: • there exist events for which mT2 = mslepton. • So: • the endpoint of the mT2 distribution is mslepton! Damtp Pheno
Example mT2 distributions (This old plot underestimates SM backgrounds) Damtp Pheno
No mqll-thresh, no mlq-low, no mT2 Damtp Pheno
No mlq-low, no mT2 Damtp Pheno
No mT2 Damtp Pheno
Everything! Damtp Pheno
A long cascade decay from pp Damtp Pheno
mothers (0 to 1000 GeV) mneutralino (0 to 600 GeV) Mass Relation Method Results Gluon Squark Neutralino2 Slepton Neutralino1 Damtp Pheno