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New Physics at the TeV Scale and Beyond ­ Summary New Theoretical Ideas: Machine and Detector Issues
1. Correlated Beamstrahlung ­ David Strom 1. Signatures for Brane Kinetic Terms at the LC ­ Tom Rizzo

2. Implementing Universal Extra Dimensions in COMPHEP ­ Konstantin Matchev 3. Klazu-Klein /Z' Differentiation at LC and LHC ­ Tom Rizzo

2. Precision Electroweak Constraints on RS Unified Mo dels ­Tim Tait

3. Phenomenology of the Little Higgs Mo del ­ Lian Tao Wang

Cornell LC Workshop July 2003

1

David Strom ­ UO


Connections b etween Linear Collider Physics and Astrophysics and Cosmology · What do astrophysicists want high-energy physicists to measure? Ira Wasserman (Cornell) · Stau physics and neutralino dark matter Bhaskar Dutta (Regina) · Sup ersymmetric dark matter and particle searches at accelerators Vassilis Spanos (Minnesota) · How well must we measure the SUSY parameters to predict the neutralino relic density? Michael Peskin · Dark matter candidates from extra dimensions Tim Tait

Cornell LC Workshop July 2003

2

David Strom ­ UO


Correlated Beamstrahlung ­ D. Strom

Can't b e inferred from acollinearity!

5 4 3 2 1 0 -1 -2 -3 -4 -5

Acceptance change /1000

Std

+1nm

+2nm

+3nm

100mrad

100 80 60 40 20 0 -20 -40 -60 -80 -100

Shift in sqrt(sprime) (MeV)

Std

+1nm

+2nm

+3nm

100mrad Condition

Bottom line: few 10-3 effects in Acceptance
Cornell LC Workshop July 2003

3

David Strom ­ UO


Klazu-Klein /Z' Differentiation at LC and LHC ­ Tom Rizzo

KK gauge resonance, D = R (quarks and leptons lo calized at opp osite fixed p oints)

Some Z' mo dels at the LHC 10,000 considered

Cornell LC Workshop July 2003

4

David Strom ­ UO


Fit probability LHC
Rizzo Cornell LC Workshop July 2003

5

David Strom ­ UO


Fit probability at an 1.0 TeV LC
Rizzo Cornell LC Workshop July 2003

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David Strom ­ UO


Implementing Universal Extra Dimensions COMPHEP ­Konstantin Matchev (AKA Bosonic Sup ersymmetry) · Allow all particles to propagate in extra dimension (Circle with opp osite p oints identified, avoids right handed couplings) · Sp ectrum of KK excitations: 2 = ( n )2 + m2 + rad.corr. mn 0 R · Rich sp ectrum with many leptonic decays · LC studies need radiative corrections...
with Cheng and Shmaltz: hep-ph/0205314 with Cheng and Feng: hep-ph/0207125 Cornell LC Workshop July 2003 hep-ph/0204432,

Sp ectroscopy of sup er-partners

7

David Strom ­ UO


UED resonances in e+e- ­ Matchev:

Cornell LC Workshop July 2003

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David Strom ­ UO


UED versus SUSY using COMPHEP

R

-1

Cornell LC Workshop July 2003

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David Strom ­ UO


Signatures for Brane Kinetic Terms at the LC ­ Tom Rizzo · Kinetic terms are naturally generated in ­ Orbifold theories (see Universal Extra Dimensions) ­ Mo dels where matter exists on m b oundaries · Two mo dels consistent with present exp erimental constraints considered: ­ gauge b oson in bulk in RS ­ gravity in the bulk in RS · Kinetic terms alter spacing of KK states and reduces couplings

Cornell LC Workshop July 2003

10

David Strom ­ UO


Example of change in KK resonances with kinetic term parameter

Need to lo ok for bumps in s distribution
Cornell LC Workshop July 2003

11

David Strom ­ UO


Precision Electroweak Constraints on RS Unified Mo dels­Tim Tait
hep-ph/0305188, PRD67:096006 (2003)

· In Randall-Sundrum mo dels have AdS5 with curvature k MP l .

· Curvature red-shifts Higgs VEV from Mpl on UV-brane to MW on IR (TeV)-brane.

· To solve hierarchy problem only Higgs must b e on TeV-brane

· In this approach fermions are allowed in the bulk and unification of gauge couplings in a "GUT" is p ossible

Cornell LC Workshop July 2003

12

David Strom ­ UO


First allowed KK resonance verus Higgs mass, includes precision electroweak constraints
10 9

c = 0.3 k rir = 2

M1 (TeV)

Green 1 Bule 2 Red 3

8 7 6 5 4 3 2 100 200 300 400 500 600 700 800 900 1000

Note: Higgs mass can b e large in these mo dels

mh (GeV)
Cornell LC Workshop July 2003

13

David Strom ­ UO


Phenomenology of the Little Higgs Mo del ­ Lian Tao Wang

· Little Higgs Mo del allow for a naturally light Higgs b oson while intro ducing new particles at the scale f T eV and giving a natural cutoff at = 4 f

· Mo dels can b e constrained with tripple gauge couplings at an LC

· Imp ortant question for an LC, can we tell if it is a "Little HIggs"

Cornell LC Workshop July 2003

14

David Strom ­ UO


Possible values in minimal mo del of h and h g g :
1 0.98 (H gg) / SM 0.96 0.94 0.92 0.9 0.88 0.8 Accessible f = 1 TeV mH 120 GeV 150 GeV 180 GeV f = 3 TeV f = 2 TeV

0.85

0.9

0.95 (H ) / SM

1

1.05

1.1

Requires very go o d determination of Higgs branching ratios
Cornell LC Workshop July 2003

15

David Strom ­ UO


What do astrophysicists want high-energy physicists to measure? Ira Wasserman Short answer: Astrophysicists want to know why Baryon Density Dark Matter Density 0.1 Dark Matter Density 0.3 Dark Energy Density

This combination allowed structure to form ­ why do we live in universe where this is true: H eq V
1/ 3



H ( m)4/3
1/3 V

1

H ­ fluctuations from inflation, V vacuum density, (MP m v ann)-1
Cornell LC Workshop July 2003

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David Strom ­ UO


Another imp ortant message to particle physics

Dark matter may b e clumpy Direct detection of dark matter may fail Can accelerators based exp eriments tell astrophysicists how clumpy the dark matter is?

Can we predict signals for annihilation of dark matter, e.g. neutrinos, photons?

Cornell LC Workshop July 2003

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David Strom ­ UO


Stau physics and neutralino dark matter ­ Bhaskar Dutta (as told by M. Peskin)

· Standard mSUGRA pro duces to o much dark matter

· This problem can b e solved with coannihilation X X ~~ Y Y ~~ XY ~~ (P-wave, suppressed)

If m = - m is small pro duction will b e suppressed ~ ~

Cornell LC Workshop July 2003

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David Strom ­ UO


Allowed range (blue) is severely limited by WMAP and other constraints. (0.094 < 0 h2 < 0.129)
1

Cornell LC Workshop July 2003

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David Strom ­ UO


~ · Detection of of and 0 difficult in low m situation favored by ~ 1 WMAP · Complete program of study of backgrounds underway · Polarization is imp ortant in reducing four-fermion backgrounds · Two photon background is under control if we instrument down to 2 ( 34mrad) · Need to guess at how likely m ¡ 5 GeV is

Cornell LC Workshop July 2003

20

David Strom ­ UO


Sup ersymmetric dark matter and particle searches at accelerators ­Vassilis Spanos Use constraints from
0161 · WMAP DM h2 = 0.1126+0..0181 0 -0

· g - 2 clouded by uncertainty in running of QE D Consider various data p oints in the CMSSM:

1. `Fo cus p oint Region' m0 > 1 TeV 2. Coannihilation region M1/2 > 1 TeV 3. Large tan M1/2, m0 > 1 TeV
Cornell LC Workshop July 2003

21

David Strom ­ UO


Allowed region is b ecoming fractal
1000

tan = 35 , µ < 0 mh = 114 GeV

1500

tan = 50 , µ > 0

m0 (GeV)

0 100

m0 (GeV)

1000

mh = 114 GeV

m

1000

1/2

(GeV)

2000

0 100

1000

m1/2 (GeV)

2000

3000

Blue: WMAP Allowed Brown: Theory forbidden Green: g-2 allowed Purple: g-2 forbidden
Cornell LC Workshop July 2003

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David Strom ­ UO


Dark Matter and Precision Sup ersymmetry -Michael Peskin, Ee Hou Yong Gaugino region for neutralino (MSUGRA)
0. 4

0.35

1 slepton

0. 3

Omega(N) h^2

0.25

3 slepton s

0. 2

WMAP

0.15

0. 1

0.05

0

80

100

120

140 m(slepton)

160

180

200

WMAP makes a very precise prediction for mslepton
Cornell LC Workshop July 2003

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David Strom ­ UO


At current WMAP precision h2 sensitive to

· 1 GeV in slepton mass · 0.5 GeV in stau mass ·100mrad in neutralino/chargino mixing angles...

More studies to come ...

Cornell LC Workshop July 2003

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David Strom ­ UO


Dark matter candidates from extra dimensions ­Tim Tait · In Universal Extra Dimensions (UED) all particles live in extra dimensions · Can have a stable lightest stable neutral KK state (LKP) · Requires "Orbifold" geometry to avoid parity violation, etc.

0

+ R - R



0

R

1 · Explore parameter space for Bµ to b e LKP

Cornell LC Workshop July 2003

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David Strom ­ UO


Relic Density
0.6

0.5

Overclosure Limit

0.4 2

h

0.3

6d

5d

0.2

0.1

h2 = 0.14 ± 0.02

0

0

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2

m

KK

(TeV)

Cornell LC Workshop July 2003

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David Strom ­ UO