New Physics at the TeV Scale and Beyond Summary Machine and Detector Issues 1. Correlated Beamstrahlung David Strom New Theoretical Ideas: 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 Models Tim Tait 3. Phenomenology of the Little Higgs Model Lian Tao Wang Cornell LC Workshop July 2003 1 David Strom UO
Connections between 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) Supersymmetric 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 be inferred from acollinearity! Acceptance change /1000 5 4 3 2 1 0-1 -2-3 -4-5 Std +1nm +2nm +3nm 100mrad Shift in sqrt(sprime) (MeV) 100 80 60 40 20 0-20 -40-60 -80-100 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 = πr (quarks and leptons localized at opposite fixed points) Some Z models at the LHC 10,000 considered Cornell LC Workshop July 2003 4 David Strom UO
Fit probability LHC Cornell LC Workshop July 2003 5 David Strom UO Rizzo
Fit probability at an 1.0 TeV LC Cornell LC Workshop July 2003 6 David Strom UO Rizzo
Implementing Universal Extra Dimensions COMPHEP Konstantin Matchev (AKA Bosonic Supersymmetry) Allow all particles to propagate in extra dimension (Circle with opposite points identified, avoids right handed couplings) Spectrum of KK excitations: m 2 n = ( n R )2 + m 2 0 + rad.corr. Rich spectrum with many leptonic decays LC studies need radiative corrections... with Cheng and Shmaltz: hep-ph/0205314 hep-ph/0204432, Spectroscopy of super-partners with Cheng and Feng: hep-ph/0207125 Cornell LC Workshop July 2003 7 David Strom UO
UED resonances in e + e Matchev: Cornell LC Workshop July 2003 8 David Strom UO
UED versus SUSY using COMPHEP R -1 Cornell LC Workshop July 2003 9 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) Models where matter exists on m boundaries Two models consistent with present experimental constraints considered: gauge boson 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 look for bumps in s distribution Cornell LC Workshop July 2003 11 David Strom UO
Precision Electroweak Constraints on RS Unified Models Tim Tait hep-ph/0305188, PRD67:096006 (2003) In Randall-Sundrum models have AdS 5 with curvature k M P l. Curvature red-shifts Higgs VEV from M pl on UV-brane to M W IR (TeV)-brane. on To solve hierarchy problem only Higgs must be on TeV-brane In this approach fermions are allowed in the bulk and unification of gauge couplings in a GUT is possible Cornell LC Workshop July 2003 12 David Strom UO
First allowed KK resonance verus Higgs mass, includes precision electroweak constraints 10 9 k c = 0.3 r ir = 2 Green 1 σ Bule 2 σ Red 3 σ Note: Higgs mass can be large in these models M 1 (TeV) 8 7 6 5 4 3 2 100 200 300 400 500 600 700 800 900 1000 m h (GeV) Cornell LC Workshop July 2003 13 David Strom UO
Phenomenology of the Little Higgs Model Lian Tao Wang Little Higgs Model allow for a naturally light Higgs boson while introducing new particles at the scale and giving a natural cutoff at f T ev Λ = 4πf Models can be constrained with tripple gauge couplings at an LC Important 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 model of h γγ and h gg: 1 0.98 m H 120 GeV 150 GeV 180 GeV f = 3 TeV f = 2 TeV Γ(H gg) / SM 0.96 0.94 0.92 Accessible f = 1 TeV 0.9 0.88 0.8 0.85 0.9 0.95 1 1.05 1.1 Γ(H γγ) / SM Requires very good 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 Dark Energy Density 0.3 This combination allowed structure to form why do we live in universe where this is true: ( ) 1/3 ρeq δ H δ H(ηm) 4/3 ρ V ρ 1/3 V 1 δ H fluctuations from inflation, ρ V vacuum density, η (M P m σv ann ) 1 Cornell LC Workshop July 2003 16 David Strom UO
Another important message to particle physics Dark matter may be clumpy Direct detection of dark matter may fail Can accelerators based experiments 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 17 David Strom UO
Stau physics and neutralino dark matter Bhaskar Dutta (as told by M. Peskin) Standard msugra produces too much dark matter This problem can be solved with coannihilation χ χ XX (P-wave, suppressed) τ τ Y Y τ χ XY If m = τ m χ is small production will be suppressed Cornell LC Workshop July 2003 18 David Strom UO
Allowed range (blue) is severely limited by WMAP and other constraints. (0.094 < Ω χ 0 1 h 2 < 0.129) Cornell LC Workshop July 2003 19 David Strom UO
Detection of of τ and WMAP χ 0 1 difficult in low m situation favored by Complete program of study of backgrounds underway Polarization is important 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
Supersymmetric dark matter and particle searches at accelerators Vassilis Spanos Use constraints from WMAP Ω DM h 2 0 = 0.1126+0.0161 0.0181 g 2 clouded by uncertainty in running of α QED Consider various data points in the CMSSM: 1. Focus point Region m 0 > 1 TeV 2. Coannihilation region M 1/2 > 1 TeV 3. Large tan β M 1/2, m 0 > 1 TeV Cornell LC Workshop July 2003 21 David Strom UO
1000 Allowed region is becoming fractal tan β = 35, µ < 0 1500 tan β = 50, µ > 0 m h = 114 GeV m 0 (GeV) m 0 (GeV) 1000 m h = 114 GeV 0 100 1000 2000 m 1/2 (GeV) 0 100 1000 2000 3000 m 1/2 (GeV) Blue: WMAP Allowed Brown: Theory forbidden Green: g-2 allowed Purple: g-2 forbidden Cornell LC Workshop July 2003 22 David Strom UO
Dark Matter and Precision Supersymmetry -Michael Peskin, Ee Hou Yong Gaugino region for neutralino (MSUGRA) 0. 4 0.35 1slepton Omega(N) h^2 0. 3 0.25 0. 2 0.15 3 slepton s WMAP 0. 1 0.05 0 80 100 120 140 160 180 200 m(slepton) WMAP makes a very precise prediction for m slepton Cornell LC Workshop July 2003 23 David Strom UO
At current WMAP precision Ωh 2 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 24 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 +π R -π R 0 π R Explore parameter space for B 1 µ to be LKP Cornell LC Workshop July 2003 25 David Strom UO
0.6 0.5 Overclosure Limit Relic Density 0.4 Ωh 2 0.3 6d 5d 0.2 0.1 Ωh 2 = 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 26 David Strom UO