physics of extra-dimensions
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Physics of Extra-Dimensions. Emidio Gabrielli Helsinki Institute of Physics. Extra-Dimensions. ADD model: compact ED on a circle of large radius only gravity can propagates in the bulk. SM matter fields fixed on the brane: only gauge fields propagate in the bulk - PowerPoint PPT PresentationTRANSCRIPT
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Physics of Extra-Dimensions
Emidio Gabrielli
Helsinki Institute of Physics
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Extra-Dimensions
RS Model5-d non factorizableGeometry
SM fields on TeV brane
only gravity propagates in the bulk
1TeV 1TeV
• SM matter fields fixed on the brane: only gauge fields propagate in the bulk
• universal ED: all SM fields propagate in the bulk
mmmm
ADD model:compact ED on a circle of large radius
only gravity can propagates in the bulk
5AdSWarped 5AdSWarped
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The hierarchy problem
GeV 1019PlM GeV 1019PlM
GeV 81WM GeV 81WM
Gravity
EW theory
quantum corrections
problem of quadratic divergencies
large fine tuning
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ADD model
EW scale is a fund. scale
Planck mass is a derived effect from geometry
Compact ExtraDim on a circle of large radius
confinement of matter on subspace
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Gravity propagating in
dimensions
fundamental constant: Newton constant in D space : strong gravity
DNGDNG
usual gravity is weak due to large compact ED space
compactification of each ED on a circle
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Newton law modified at small distances
the potential
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relation between Plank masses
ruled out
TeV 1MD TeV 1MD
allowed
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Kaluza-Klein excitations
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Direct KK graviton production
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almost a continuous distribution of masses
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Searches at LC and LHC
Hewett 2004
(TeV) MD (TeV) MD
LC
LHC uncertainties in overll normalization i.e. parton densities
Polarized beam allows high sensitivity on MD
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distribution versus missing energy for L = 100/fb
mainSM bckg
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LC would allow a precise determination of the fundamental parameters
MD=5 TeV
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inputs from the cross section measurements at LC would help to determine the overall normalization at LHC
determination of fundamental parameters from LHC data would be improved
main message
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but don’t forget...bounds from Astrophysics + Cosmology
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KK graviton emission from heavy SM particle decays
the case of W, Z,top and Hfor MD=1 TeV and =2 BR(Z,W) 10^(-8)
BR(H) 10^(-5)
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High statistic required for Z and W
not realistic for top
Heavy Higgs can prove TeV scaleHigh statisticrequired
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Virtual KK graviton exchanges
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process governed by an effective Lagrangian
for > 2infinite sum over KK tower
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95% CL search each
solid (dashed) corresponds0(60)% positron polarization
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Higher sensitivity from the study of azymuthal Asymmetries
Rizzo (2003)
If deviations due to virtual graviton exchange were observed at LHC, a LC with positron polarization could identify the spin-2 nature of the exchange for the entire LHC search region
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Resonant SM processes can have interference with Im[Amplitude] of the graviton exchange
finite results only predicted in terms of MD and number of Extra-Dim.
Virtual Graviton Exchange at the Z-polein Large Extra-Dimensions
A.Datta, E.G., B. Mele (2003)
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Im[Amplitude] is finite
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final leptons
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after the usual shift on the VEVa mixing term between the Higgsfield h and graviscalar s arises
this will give rise to an invisible Higgs decay in graviscalar affecting all standard Higgs decays
New fundamental parameter of O(1)
Graviscalar effects in Higgs production
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LC will be able to improve the determination of model parameters considerably withrespect to LHC alone
Graviscalar effects in Higgs production
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Extra Dimensions
1TeV 1TeV
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Gauge fields in the bulk
naturally arising in braneworld theories • fermions confined on the brane • two kind of models: i)all fermions on one braneii) quarks and leptons on opposite branes
radius of compactification´masses of KK
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EW precision data constrain Mc > 4-5 TeV
at LC, masses above that range are easily observable by virtual exchang.
first KK excit. of gauge bosons high degenerate
degeneracy still resolvable at LC but NOT at LHC
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Universal Extra Dimensions
all fields propagate in the bulkhigh predictivity in the Spectrum every SM field carries a KK partner
KK carries conserved QNsimilar to SUSÝ with R parity
BUT same spin than SM particlescleanest way to identify UED is the
observation of second KK levelspin can be determined at LHC
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could be confused with SUSY particles
LC could be able to disentagle between SUSY and UED
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if Plank masses in 5-dim are O(TeV)
hierarchy problem naturally explained for kr=O(10)
graviton KK have large mass gap O(TeV) and are strongly coupled
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• KK masses = x(n) k/Mpl
• LC L=500 fb^(-1) • LHC L=100 fb^(-1)
in TeV
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Large Extra-Dim scenario: KK productionLC and LHC have comparable search ;LC can determine absolute normalization of x-sec and numb. of ED
KK exchangeif positron pol. is avalibale LC can probe scale up to 21 TeV for sqrt(s)=1 TeV
data from both LHC and LC will improve the accuracy of the determination of model param.
Conclusions
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Tev^(-1) Extra Dim scenario: gauge field in the bulk:LHC may discover KK in mass range Mc=4-6 TeVindirect effects available at LC for Mc < 20 TeV
all SM fields in the bulk (universal ED):can cause confusion with SUSY particlesLC would be able to disentagle it.
warped Extra-Dim scenario:spin-2 resonances of m < O(TeV) can be bothobserved at LC and LHC-spectacular signatures.