the latest and greatest tricks in studying missing energy events
DESCRIPTION
The latest and greatest tricks in studying missing energy events. Konstantin Matchev. With: M. Burns, P. Konar, K. Kong, F. Moortgat, L. Pape, M. Park arXiv:0808.2472 [hep-ph], arXiv:0810.5576 [hep-ph], arXiv:0812.1042 [hep-ph], arXiv:0903.4371 [hep-ph], - PowerPoint PPT PresentationTRANSCRIPT
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The latest and greatest tricks in studying missing energy events
Konstantin Matchev
With: M. Burns, P. Konar, K. Kong, F. Moortgat, L. Pape, M. ParkarXiv:0808.2472 [hep-ph], arXiv:0810.5576 [hep-ph], arXiv:0812.1042 [hep-ph], arXiv:0903.4371 [hep-ph], arXiv:0906.2417 [hep-ph], arXiv:090?.???? [hep-ph]
Fermilab, LPCAugust 10-14, 2009
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These slides cover: • “A general method for model-independent measurements of
particle spins, couplings and mixing angles in cascade decays with missing energy at hadron colliders”, JHEP (2008)– Burns, Kong, KM, Park
• “Using subsystem MT2 for complete mass determinations in decay chains with missing energy at hadron colliders”, JHEP (2009)– Burns, Kong, KM, Park
• “s1/2min – a global inclusive variable for determining the mass scale
of new physics in events with missing energy at hadron colliders”, JHEP (2009).– Konar, Kong, KM
• “Using kinematic boundary lines for particle mass measurements and disambiguation in SUSY-like events with missing energy”, JHEP (2009)– Burns, KM, Park
• “Precise reconstruction of sparticle masses without ambiguities”, JHEP (200?)– KM, Moortgat, Pape, Park
67 pp
46 pp
32 pp
47 pp
Total No of pages : 229 pp
37 pp
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MET events: experimentalist’s view
• What is going on here?
This is why I am interested in MET!
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Why MET signatures are important to study
• WIMP dark matter? Perhaps, but see J. Feng’s talk for counterexamples.
• Challenging – need to understand the detector very well.
• Guaranteed physics in the early LHC (late Tevatron) data!
t
t
e
e
W
W
b
bW
W
e
e
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This talk is being given• by a “theorist”
The experimentalist asks: The theorist answers:
Are there any well motivatedsuch models? You bet. Let me tell you about
those. Actually I have a paper…
No.
Is it possible to have a theory model which gives signature X?
Yes.
Is there any Monte Carlo which can simulate those models?
No. But I’m the wrong person to ask anyway.
MC4BSM workshops: http://theory.fnal.gov/mc4bsm/
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• Pair production of new particles (conserved R, KK, T parity)• Motivated by dark matter + SUSY, UED, LHT
– How do you tell the difference? (Cheng, KM, Schmaltz 2002)
• SM particles xi seen in the detector, originate from two chains– How well can I identify the two chains? Should I even try?
• What about ISR jets versus jets from particle decays?
• “WIMPs” X0 are invisible, momenta unknown, except pT sum – How well can I reconstruct the WIMP momenta? Should I even try?
• What about SM neutrinos among the xi’s?
MET events: theorist’s view
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In place of a summary
Missing
momenta reconstruction?
Mass measurements Spin measurements
Inclusive 2 symmetric chains
None Inv. mass endpoints
and boundary lines
Inv. mass shapes
Meff,Mest,HT Wedgebox
Approximate Smin, MTgen MT2, M2C, M3C,
MCT, MT2(n,p,c)As usual
(MAOS)
Exact ? Polynomial method
As usual
op
tim
ism
optimism
pessimism
pes
sim
ism
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Tuesday: invariant mass studies
• Study the invariant mass distributions of the visible particles on one side of the event
• Does not rely on the MET measurement• Can be applied to asymmetric events, e.g.
– No visible SM products on the other side– Small leptonic BR on the other side
• Well tested, will be done anyway.
MET
Hinchliffe et al. 1997
Allanach et al. 2000
Nojiri et al. 2000
Gjelsten et al. 2004
ATLAS TDR 1999
KM,Moortgat,Pape,Park 2009
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Thursday: spin measurements• Separate the spin dependence from all the rest
– Parameterize conveniently the effect from “all the rest”
• Measure both the spin (S) as well as all the rest:
)()()()( 2;
2;
2;
2;2
mFmFmFmFdm
dNSSSS
S
Burns, Kong, KM, Park 08
,,
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In place of a summary
Missing
momenta reconstruction?
Mass measurements Spin measurements
Inclusive 2 symmetric chains
None Inv. mass endpoints
and boundary lines
Inv. mass shapes
Meff,Mest,HT Wedgebox
Approximate Smin, MTgen MT2, M2C, M3C,
MCT, MT2(n,p,c)As usual
(MAOS)
Exact ? Polynomial method
As usual
op
tim
ism
optimism
pessimism
pes
sim
ism
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Wednesday: Meff (HT) and Smin
F. Paige hep-ph/9609373
Konar, Kong, KM 2008
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In place of a summary
Missing
momenta reconstruction?
Mass measurements Spin measurements
Inclusive 2 symmetric chains
None Inv. mass endpoints
and boundary lines
Inv. mass shapes
Meff,Mest,HT Wedgebox
Approximate Smin, MTgen MT2, M2C, M3C,
MCT, MT2(n,p,c)As usual
(MAOS)
Exact ? Polynomial method
As usual
op
tim
ism
optimism
pessimism
pes
sim
ism
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The “Cambridge” mT2 variable
• A. Barr, C. Lester and P. Stephens, “mT2 : the truth behind the glamour”– hep-ph/0304226
• C. Lester and D. Summers, “Measuring masses of semiinvisibly decaying particles pair produced at hadron colliders”– hep-ph/9906349
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Mass measurements
• Single semi-invisibly decaying particle
• Use the transverse mass distribution
2222 ),( TeTTeTTW ppppemM
We
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Mass measurements
• A pair of semi-invisibly decaying particles
• Use the “stransverse” mass (mT2)
2222 ),( TeTTeTTW ppppemM
W
e
W
Kong, KM 04
• This formula is valid for m=0.
Lester,Summers 99Barr,Lester,Stephens 03
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Definition of MT2• A pair of semi-invisibly decaying particles
• If and were known:• But since unknown, the best one can do :
Lester,Summers 99Barr,Lester,Stephens 03
We
W
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What is mWhat is mT2T2 good for? good for?• Provides a relation between the two unknown
masses of the parent (slepton) and child (LSP)
– Vary the child (LSP) mass, read the endpoint of mmT2T2
• So what? We still don’t know exactly the LSP mass
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LSP mass measurement from kinksLSP mass measurement from kinks
• Include pT recoil due to ISR
ISR with some PISR with some PTT
• A kink appears at the true masses of the parent and the child
Varying PT
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How big is this kink?• It depends on the hardness of the ISR and
the mass spectra
FL
FR
1
TP
M
0
1
M
M
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FL
FR
Origin of the MT2 “kink”
• A kink may arise due to– “Composite” particle on each side
– ISR recoils
– Heavy particle decays
Cho, Choi, Kim, Park 2007
Barr, Gripaios, Lester 2007
Burns, Kong, KM, Park 2008
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Subsystem MT2
• Generalize the MT2 concept to MT2(n,p,c)– “Grandparents” (n): The total length of decay chain
– “Parents” (p): Starting point of MT2 analysis
– “Children” (c): End point of MT2 analysis
Burns, Kong, KM, Park 2008
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Mass determination: Subsystem MT2
Sub MT2
n : Length of decay chain
NP : Number of unknownsNm : Number of measurements
NP= number of BSM particles = n+1
Nm=
How many undetermined parameters (masses) are left?
Burns, Kong, KM, Park 2008
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Opening a parenthetical remark
(
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In place of a summary
Missing
momenta reconstruction?
Mass measurements Spin measurements
Inclusive 2 symmetric chains
None Inv. mass endpoints
and boundary lines
Inv. mass shapes
Meff,Mest,HT Wedgebox
Approximate Smin, MTgen MT2, M2C, M3C,
MCT, MT2(n,p,c)As usual
(MAOS)
Exact ? Polynomial method
As usual
op
tim
ism
optimism
pessimism
pes
sim
ism
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Mass determination – polynomial method
Sub MT2
n : Length of decay chain
Cheng,Gunion,Han,Marandella, McElrath, 2007
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Closing the remark
...)
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Subsystem MT2 applied to top pairs
• Don’t assume prior knowledge of the W and neutrino masses
• Traditional MT2 variable: MT2(2,2,0)
t
t
e
e
W
W
b
b
MT2(220)
Combinatorial problem!
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Subsystem MT2 applied to top pairs
• Genuine subsystem variable: MT2(2,1,0)
t
t
e
e
W
W
b
b
MT2(210)
No combinatorial problem!
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Subsystem MT2 applied to top pairs
• Another genuine subsystem variable: MT2(2,2,1)
t
t
e
e
W
W
b
b
MT2(221)
No combinatorial problem!
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Mass measurements in the TTbar system
• We have just measured three MT2 endpoints which are known functions of the hypothesized Top, W and neutrino masses.– MT2(2,2,0)– MT2(2,1,0)– MT2(2,2,1)
• Problem: they are not independent, need an additional measurement– MT2(1,1,0)– Endpoint of the lepton+b-jet inv. mass distribution
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MT2 applied to W pairs
• Yet another MT2 variable: MT2(1,1,0)
W
W
e
e
MT2(110)
No combinatorial problem!
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Full T, W, Nu mass determination
• Hybrid method: Inv. mass Subsystem MT2
t
t
e
e
W
Wb
b M(bl)max =
Correct bl pairs
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On a positive note• MT2 can be used for background suppression
• The dominant background to SUSY is TTbar• For illustration, let us choose a very challenging
example with an identical signature– Stop pair production, with decays to chargino and LSP.
Barr, Gwenlan 2009
t
t
e
e
W
W
b
b
stop
stop
e
e
chargino
b
b
chargino LSP
LSP
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Top-Stop separation• What do we know about the stop sample?
– Absolutely nothing.• What do we know about TTbar?
– The endpoints of the subsystem MT2 variables that we just saw. All TTbar events fall below these endpoints, and there are none above!
KM, Park preliminary
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Combination MT2 cut• Accept the event if it is beyond at least one of the
three subsystem MT2 endpoints.
• This greatly enhances the signal acceptance, compared to a single MT2 cut, or an HT cut.
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BACKUPS
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Wedgebox technique• Scatter plot of the invariant masses of the
visible decay products on both sides
Bisset,Kersting,Li,Moortgat,Moretti,Xie 2005
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MTgen
• Inclusive application of MT2: minimize MT2 over all possible partitions of the visible decay products between two chains– Brute force way to deal
with combinatorial issue– Preserves the endpoint,
provides a measure of the scale
– Endpoint smeared in the presence of ISR
– Does not measure the LSP mass
– Difficult to interpret when many processes contribute
Lester,Barr 2008
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Polynomial methodCheng,Gunion,Han,Marandella,McElrath 2007Cheng,Engelhardt,Gunion,Han,McElrath 2007
Cheng,Han 2008