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Giant Steps
Chris QuiggFermilab
Low-Emittance Muon Collider Workshop · 12 February 2007
A Decade of Discovery Past . . .
EW theory → law of nature [Z , e+e−, p̄p, νN, (g − 2)µ, . . .]
Higgs-boson influence in the vacuum [EW experiments]
ν oscillations: νµ → ντ , νe → νµ/ντ [ν⊙, νatm, reactors]
Understanding QCD [heavy flavor, Z 0, p̄p, νN, ep, ions, lattice]
Discovery of top quark [p̄p]
Direct CP violation in K → ππ [fixed-target]
B-meson decays violate CP [e+e− → BB̄]
Flat universe: dark matter, energy [SN Ia, CMB, LSS]
Detection of ντ interactions [fixed-target]
Quarks, leptons structureless at 1 TeV scale [mostly colliders]
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 2 / 50
Tevatron Collider is breaking new ground in sensitivity
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 3 / 50
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 4 / 50
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 5 / 50
Tevatron Collider in a Nutshell
980-GeV protons, antiprotons (2π km)frequency of revolution ≈ 45 000 s−1
392 ns between crossings(36 ⊗ 36 bunches)
collision rate = L · σinelastic ≈ 107 s−1
Record Linit = 2.78 × 1032 cm−2 s−1
[CERN ISR: pp, 1.4 × 1032 cm−2 s−1]
Goal: ≈ 8 fb−1 by 10.2009
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 6 / 50
The World’s Most Powerful Microscopes
nanonanophysics
CDF dijet event (√
s = 1.96 TeV): ET = 1.364 TeVqq̄ → jet + jet
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 7 / 50
A flood of beautiful measurements . . .
[ps]sm∆/πDecay Time Modulo 20 0.05 0.1 0.15 0.2 0.25 0.3 0.35
Fitt
ed A
mpl
itude
-2
-1
0
1
2
data
cosine with A=1.28
CDF Run II Preliminary -1L = 1.0 fb
) (GeV)ν(eTm60 70 80 90 100
even
ts /
0.5
GeV
0
500
1000
1500
) MeVstat 48± = (80493 WM
/dof = 86 / 482χ
-1 200 pb≈ L dt ∫CDF II preliminary
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 8 / 50
. . . and important work in progress
mvis (GeV)
-
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 9 / 50
. . . and important work in progress
mvis (GeV)
-
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 9 / 50
LHC will operate soon, breaking new ground in E & L
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 10 / 50
LHC will operate soon, breaking new ground in E & L
30 June 200530 June30 June30 June 200520052005Gigi Rolandi - CERNGigi RolandiGigi RolandiGigi Rolandi - CERN - CERN - CERN
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 10 / 50
LHC in a nutshell
7-TeV protons on protons (27 km tunnel)
Novel two-in-one dipoles (≈ 9 teslas)
Collisions (Ecm = 900 GeV, L ≈ 1029 cm−2 s−1): 11.07
Commissioning run until end 2007, then shutdown
First collisions at Ecm = 14 TeV: 2008First physics run? Goal of few fb−1 by end 2008
Eventual: L∼> 1034 cm−2 s−1: 100 fb−1/year
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 11 / 50
The experiments are coming together now . . .
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 12 / 50
The experiments are coming together now . . .
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 13 / 50
The experiments are coming together now . . .
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 14 / 50
The experiments are coming together now . . .
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 15 / 50
. . . and it won’t always be easy
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 16 / 50
Why the LHC is so exciting
Even low luminosity opens vast new realm @ 14 TeV:
10 pb−1 (few days at initial L) yields8000 top quarks, 105 W -bosons,
100 QCD dijets beyond Tevatron kinematic limitSupersymmetry hints in a few weeks ?
Essential first step: rediscover the standard model
The antithesis of a one-experiment machine;enormous scope and versatility beyond high-p⊥
L upgrade extends ∼>10-year program . . .
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 17 / 50
The ILC is on the drawing board, with a value estimate
DRAFT
TABLE 2.1-1
Global Accelerator Parameters for 500 GeV cms.
Center-of-mass energy 500 GeV
Peak luminosity 2 × 1034 cm−2s−1
Availability 75%
Repetition rate 5 Hz
Duty cycle 0.005%
Main linacs
Average accelerating gradient in cavities 31.5 MV/m
Length of each main linac 11 km
Beam pulse length 1 ms
Average beam current in pulse 9.0 mA
Damping rings
Beam energy 5 GeV
Circumference 6.7 km
Length of beam delivery section (2 beams) 4.5 km
Total site length 31 km
Total site power consumption 230 MW
Total installed power ∼300 MW
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 18 / 50
The world the muon collider would enter
� Mature LHC program, perhaps L upgrade
� Potential ILC, perhaps Ecm → 1 TeV
Particle physics will be transformed by what we find!
We will have new clues from astroparticle physics
� Dark-matter detection in passive experiments
� Dark-energy equation of state may favor
ΛCDM or quintessence / dynamics
The nature of the neutrino will be clarified
� ν ≡ ν̄ will be tested
� Masses and mixings will be much better known
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 19 / 50
The world the muon collider would enter bis
Energy frontier or other directions?
Competition on the energy frontier
� 100-TeV-class hadron collider (VLHC)Note: scaling L ∝ s is not so frightening,
if begin from 1033 cm−2 s−1 @ 40 TeV
� Multi-TeV lepton collider
? energy, luminosity, polarization ?
?? CLIC (e+e−) or Muon Collider ??Two approaches, very similar target
Coordinated physics studies!
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 20 / 50
For many purposes, a lepton is a lepton . . .
SM cross sections
. . . but sometimes, mass matters: m2µ/m2
e = 42750
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 21 / 50
For many purposes, a lepton is a lepton . . .
SM cross sections
. . . but sometimes, mass matters: m2µ/m2
e = 42750
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 21 / 50
CLIC Physics Working Group Report
Physics at the CLIC Multi-TeV Linear Collider,CERN-2004-005 (a work of many hands)
Some µ : e differences (at similar Ecm, L):
s-channel production of scalars that couple to massfavors µ for small δp/p
polarization control seems to favor e+e−
(useful diagnostic for supersymmetry)
Maybe all leptons are not the same?
Example of R-parity violation
Experimental cuts likely very different for e+e−, µ+µ−
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 22 / 50
Other synergies (that you know very well)
Possible evolution from
intense muon source to . . .
neutrino factory to . . .
Higgs factory to . . .
Multi-TeV muon collider
http://www.physics.ucla.edu/hep/muon07/
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 23 / 50
Abridged Parameter List
Machine 1.5-TeV µ+µ− 3.0-TeV µ+µ− CLIC 3 TeV
Lpeak [cm−2 s−1] 7 × 1034 8.2 × 1034 8 × 1034tot
Lavg [cm−2 s−1] 3.0 × 1034 3.5 × 1034 3.1 × 103499%
∆p/p [%] 1 1 0.35
β⋆ 0.5 cm 0.5 cm 35 µm
Turns / lifetime 2000 2400
Rep. rate [Hz] 65 32
Mean dipole field 10 T 10 T
Circumference [m] 2272 3842 33.2 km site
Bunch spacing 0.75 µs 1.28 µs 0.67 ns
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 24 / 50
CLIC Cross Sections and Energy Spectrum
Fig. 1: (left) Cross sections versus the CMS energy for various s- and t-channelexchange processes, and (right) example of a luminosity spectrum at CLIC.
De Roeck & Ellis, “Physics Prospects with CLIC”
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 25 / 50
The Standard Model passes “all” experimental testsMeasurement Fit |Omeas Ofit|/ meas
0 1 2 3
0 1 2 3
had(mZ)(5) 0.02758 ± 0.00035 0.02766
mZ [GeV]mZ [GeV] 91.1875 ± 0.0021 91.1874
Z [GeV]Z [GeV] 2.4952 ± 0.0023 2.4957
had [nb]0 41.540 ± 0.037 41.477
RlRl 20.767 ± 0.025 20.744
AfbA0,l 0.01714 ± 0.00095 0.01640
Al(P )Al(P ) 0.1465 ± 0.0032 0.1479
RbRb 0.21629 ± 0.00066 0.21585
RcRc 0.1721 ± 0.0030 0.1722
AfbA0,b 0.0992 ± 0.0016 0.1037
AfbA0,c 0.0707 ± 0.0035 0.0741
AbAb 0.923 ± 0.020 0.935
AcAc 0.670 ± 0.027 0.668
Al(SLD)Al(SLD) 0.1513 ± 0.0021 0.1479
sin2effsin2 lept(Qfb) 0.2324 ± 0.0012 0.2314
mW [GeV]mW [GeV] 80.392 ± 0.029 80.371
W [GeV]W [GeV] 2.147 ± 0.060 2.091
mt [GeV]mt [GeV] 171.4 ± 2.1 171.7
Few outliers: (g − 2)µ, etc. LEPEWWG
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 26 / 50
The Standard Model passes “all” experimental tests
100 101 102 103
Q [GeV]
1
2
3
4
5
6
7
8
9
10
11
1/as
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 27 / 50
But we know the electroweak theory to be incomplete
It does not account for the fermion spectrummasses, quark & lepton mixings
No explanation for generations
Right-handed neutrinos are absentneutrino mass may have a new origin
CP-violation is accommodated, not accounted forknown CPV doesn’t readily account for matter excess
No viable dark-matter candidates
One really wrong prediction:vacuum energy density too high by ×1054
no candidate explanation for dark energy
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 28 / 50
No indication that QCD is incomplete
. . . which does not mean it won’t crack somewhere
Many incisive QCD studies made at LEP
; worth considering how muon collider might contribute
Implications for unified theories . . .
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 29 / 50
We do not know what hides electroweak symmetry
Thought experiment: W +W−, ZZ , HH , HZ
lims≫M2
H
(a0) → −GFM2H
4π√
2·
1 1/√
8 1/√
8 0
1/√
8 3/4 1/4 0
1/√
8 1/4 3/4 00 0 0 1/2
Require that largest eigenvalue respect pw unitaritycondition |a0| ≤ 1
=⇒ MH ≤(
8π√
2
3GF
)1/2
= 1 TeV/c2
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 30 / 50
If the bound is respected◮ weak interactions remain weak at all energies◮ perturbation theory is everywhere reliable
If the bound is violated◮ perturbation theory breaks down◮ weak interactions among W±, Z , H become strong on 1-TeV scale
⇒ features of strong interactions at GeV energies will
characterize electroweak gauge boson interactions atTeV energies
New phenomena in the EW interactions at energies not
much larger than 1 TeV
. . . the Fermi scale
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 31 / 50
Two extremes . . .
A light Higgs boson; intensive study at low-E (“Higgs factory”)
Strongly interacting gauge sector
; high-E , high-L for W +W− resonances
Precision measurements favor light Higgs boson
. . . suggesting weakly coupled electroweak dynamics
But there are tensions in the electroweak fits (Chanowitz)and a light Higgs needs explanation
. . . which might include strong dynamics
Prudent to take hints seriously, remember their limitations
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 32 / 50
Global fits anticipate the Higgs-boson mass
0
1
2
3
4
5
6
10030 300
mH [GeV]
2
Excluded Preliminary
had =
(5)
0.02758±0.00035
0.02749±0.00012
incl. low Q2 data
Theory uncertainty
LEPEWWG . . . within the standard model
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 33 / 50
Standard-model Higgs boson: branching ratios
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Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 34 / 50
Standard-model Higgs boson: total width
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Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 35 / 50
The hierarchy problem
Higgs-boson mass is sensitive to quantum corrections
M2H(p2) = M2
H(Λ2) + Cg 2∫ Λ2
p2 dk2 + · · ·Natural reference scales are very large, in SM:
Planck scale, 1.2 × 1019 GeV
Unification scale, ∼ 1016 GeV
. . . either M2H(Λ2) is exquisitely fine tuned, or
new physics at the Fermi scale
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 36 / 50
Many responses to the hierarchy problem
Supersymmetry: matched fermion, boson d.o.f.
∆M2H controlled if Msuper ≈ 1 TeV
. . . not necessarily the MSSM
Dynamical symmetry breaking (composite Higgs)motivated by BCS and QCD-broken EW theoryScale of ≈ 1 TeV for new strong interactions
Strongly interacting EW gauge sector (MH ≫ 1 TeV)
Higgs boson as a pseudo-Nambu-Goldstone boson
An echo of extra spacetime dimensionsPerhaps gravity, not EW theory, requires change?
Argues for more new physics on Fermi scale
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 37 / 50
Supersymmetric Higgs bosons h, H , A, H±
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Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 38 / 50
Supersymmetric Higgs bosons: cross sections
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Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 39 / 50
Supersymmetric Higgs bosons: µ+µ− → H/A → bb̄
0
20
40
60
80
100
120
296 298 300 302 304
Ecm (GeV)
σ (p
b)
MA = 300 GeV, tanβ = 10, δE/E = 3 × 10−5, 25 pb−1/point Janot
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 40 / 50
MPlanck ∝ 1/√
GNewton comes from Newton’s gravity
V (r) = −∫
dr1
∫
dr2GNρ(r1)ρ(r2)
r12[1 + |α| exp(−r12/λ)]
1 0.110
E (meV)
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 41 / 50
Incompleteness of the EW theory
Hig
gs-
bo
son
Ma
ss (
Ge
V)
600
400
500
100
200
300
0
103
Higgs interactions vanish
electroweak symmetry not hidden
quantum
corrections
disfavor
excluded by direct searches
105 107 109 1011 1013 1015 1017 1019
energy to which electroweak theory holds (GeV )
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 42 / 50
A hint from dark matter
We do not know the nature of dark matter,
nor whether a single species dominates
Essentially all extensions of the electroweak theory
entail dark-matter candidates
Axions (to solve the strong-CP problem) may serve
If dark-matter particles interact with weak-interaction
strength, the needed relic abundance genericallyresults for Mdark = 100 GeV to 1 TeV
Universal extra dimensions: Lightest Ka luza-Kleinparticle, MLKKP typically larger, up to few TeV Kong
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 43 / 50
SU(5) gauge couplings without Fermi-scale SUSY
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 44 / 50
SU(5) gauge couplings unify with Fermi-scale SUSY
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 45 / 50
The little hierarchy problem (the LEP paradox)
If no sign of new physics up to Λ = 5 TeV, 2% fine tuning
Desiredoutput
-2
-1.5
-1
-0.5
0
0.5
1
1.5
Higgsloops
Gauge-bosonloops
Toploops
Tunedinput
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 46 / 50
Responses to the little hierarchy problem
What’s a little fine tuning?
New physics below 5 TeV stabilizes MH andcontributes in principle to electroweak observables; net
contribution to precision electroweak tests is small
New physics below 5 TeV stabilizes MH but does not
contribute to electroweak observables; all SM particlesas singlets under some new symmetry
New colored states (M ≪ 5 TeV) to cancel top loop
(Split) supersymmetry: t̃ (defer other superpartners?)
Little Higgs models: vectorlike quarks
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 47 / 50
Responses to the little hierarchy problem
Twin Higgs models: (NGB), symmetry forbids O(Λ2)No necessity for new particles with SM charges
In some versions, SU(2)R gauge bosons, vector-likequarks, narrow ZH Chacko, SUSY06
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 48 / 50
Closing thoughts 1
The electroweak theory demands new physics on theFermi scale
The hierarchy problem strongly suggests newFermi-scale phenomena, beyond the Higgs boson
The electroweak theory is almost surely incomplete;
new physics is needed
The LEP paradox suggests new degrees of freedom
below 5 TeV
Few-TeV lepton collider opens many possibilities
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 49 / 50
Closing thoughts 2
Synergy between CLIC, Muon Collider physics studies
Look at some oddball possibilities:µp collisions: leptoquarks, R-parity violating SUSY
Any value to µe collider?
to complement muon-electron conversion?
Have an excellent workshop!
Chris Quigg (Fermilab) Giant Steps LεµC · 12.2.2007 50 / 50