sreerup raychaudhuri tifr extra dimensions and collider physics workshop on synergy between high...
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Sreerup Raychaudhuri
TIFR
Extra Dimensions and Collider Physics
Workshop on Synergy between High Energy and High Luminosity FrontiersTata Institute of Fundamental Research, Mumbai
January 10, 2011
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
Extra Compact Dimensions
Ancient Age1914-1975
Mediæval Age
1970-1998
Modern Age1998-
Attempts to unify gravitation with electromagnetism :Kaluza-Klein theory
Compact dimensions lead to Yang-Mills theories
Largely abandoned In 1950’s and 1960’s
Relativistic string theory requires D = 26 or D = 10
Compactification on Calabi-Yau manifolds or orbifolds led to gauge theory
Discovery of D-branes and AdS-CFT
Large extra dimensionsproposed to solve hierarchy problem
Warped extra dimensions as a more natural solution: use of AdS-CFT ideas
Universal extra dimensions : ‘bosonic’ supersymmetry
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
Compact Dimensions
RC
CRx ~
CRx
two-dimensional
one-dimensional
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
Large Extra Dimensions
Antoniadis, Arkani-Hamed, Dimopoulos, Dvail 1998
SM fields are confined to the braneOnly graviton can access the bulk
brane
bulk
nSM )1()4(
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
Cn R
nM
Kaluza-Klein tower of
states
0CR
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
Each graviton KK mode couples very weakly with SM matter, but collective effect of many modes builds up to electroweak strength
G
G2
~ G
GM
real virtual
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
Graviton-induced processes :
KKSS
SM MM
8int4
11
DØ
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
MS (
TeV)
Constraining the string scale :
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
Laboratory Black Holes
b
If impact parameter b < RS Schwarzschild radius for M = 2 mp ,a micro-black hole is formed
Decay by Hawking radiation with lifetime ~ 10-25 s
Spectacular spherically-distributed signals
Cross section (semiclassical) : pb10~2SR
At least 105 micro black holes at the 14-TeV LHC with 10 fb-1
Einstein gravity gives 10-28 pb
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
Probability of accretion:
3009 10~10exp
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
Warped Extra Dimension
Randall, Sundrum 1999
Planck brane
TeV brane
AdS5 ‘throat’
Metric contracts exponentially along AdS5
‘throat’ Gravitons acquire TeV masses2222
dRdxdxeds CKRC
2)1()4( / ZSM
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
CKRe Warp factor controls the entire RS phenomenology:
)GeV100(~ n
KRnn xKexM C
Kaluza-Klein tower of states
Each graviton couples as:
0.1 to0.01~PM
Kc
Graviton KK modes behave like WIMPs…
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
Decay modes of RS gravitons
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
2 40 0
( )( )
CkRs
n n n n
xeD s
s M iM m
0s
sx
m
Sum over propagators
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
Graviton resonances in Drell-Yan dileptons
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
ATLAS dilepton
CMS dielectron
inaccessible
inaccessible5
X
CDF
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
ATLAS
Allanach et al (2000)
Resonant production of G1
Final state : dielectrons
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
RS Variants
CKRe Warp factor: Must choose KRC = 11.7Dynamic generation of hierarchy : Goldberger-WiseReplace KRC = T(x) ; potential in T(x) is flat
Introduce a bulk scalar with 𝛷4 couplings
k T
( )V ky
11.7
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
Residue is a light scalar – the radion
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Invoke AdS-CFT correspondence: bulk RS model is equivalent to a composite SM on the TeV brane
Keep only Higgs fields localised to TeV brane and let all other SM fields go into the bulk
Each will have KK modes, just as the graviton has in RSStrongest signal will be from the g1 decaying to t t
TeV32g1 M
FCNC
Tevatron GeV800g1 M
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
Universal Extra Dimension
Appelquist, Cheng, Dobrescu 2001
; metric is flat
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
Collider bound: R-1 > 728 GeVDark Matter constraint:
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
Bounds from non-discovery are easy, but ….
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
many other possibilities…
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Extra Dimensions and Collider Physics Sreerup Raychaudhuri, TIFR
SUMMARY
• If SUSY is the Standard BSM theory, Extra Dimensions have become the Standard non-SUSY theory
• Three main paradigms: ADD, RS, UED
• Each has interesting collider phenomenology
• LHC has the potential to discover all of the models…unless they decouple
• Next few years may be exciting!
Thank You