Title: Theories of Nature and The Nature of Theories
1Theories of Nature andThe Nature of
Theories
- Matthew Strassler, University of Washington
- Based on
- Lectures given at the CERN/Fermilab Hadron
Collider Summer School, - August 2006
- Echoes of a Hidden Valley at Hadron Colliders
- April 2006 (with K. Zurek)
- Discovering the Higgs through Highly Displaced
Vertices - May 2006 (with K. Zurek)
- Possible Effects of a Hidden Valley on
Supersymmetric Phenomenology - July 2006
2Theories of Nature
- Many theorists view the hierarchy between the
weak scale and the gravitational scale as the
greatest problem in particle physics - GN / GF (MW / MPlanck )2 10-32
- Favorite Theories of Theorists
- Supersymmetry
- goal stabilize hierarchy
- Technicolor, Randall-Sundrum
- goal stabilize hierarchy
- Flat extra dimensions, Randall-Sundrum
- goal reconsider or solve hierarchy
- Little Higgs, Twin Higgs
- goal stabilize little hierarchy
3The Nature of Theorists
- For theorists (and many experimentalists)
- minimal elegant motivated better
- Non-minimal models are often ridiculed as
baroque - Non-minimal models are usually not published in
good journals - Model builders are rewarded with prestige for
discovering elegant solutions with minimal
additional matter content - Models always must have a motivation they must
solve a recognized problem in particle physics. - Almost never is anyone promoted for inventing and
studying non-minimal models - Phenomenological studies (theoretical and
experimental) usually ignore non-minimal models - The design of the LHC detectors was based on
- the search for the standard model Higgs boson,
and - a few classic minimal hierarchy-solving models
available in the 1980s. - Minimal Supergravity with R parity
- Technicolor
4Higgs Physics
- The standard model Higgs boson can be produced in
abundance at LHC, and seen in a variety of decay
modes - gg ? h, qq ? qqh, qq ? Wh, Zh, gg?ttH
- h ? gg, h ?bb, tt, h?WW, ZZ
- Some other modes enhanced in 2 Higgs doublet
models, such as gg ? bbh - A detector that has good efficiency, energy
resolution for - Photons
- Electrons
- Muons
- Taus
- Bottom jets
- will do very well in searches for the Higgs
boson - Minimal Supergravity with R parity
- Central high-momentum jets, leptons and large
missing energy - Technicolor
- High-energy WW scattering hard forward jets,
central leptons/jets
5Nature and Theories
- But we dont care what theorists (or even
experimentalists) think. - We care what nature does.
- And what does nature do?
- Nature has 3 generations, not 1
- Nature has neutral currents in addition to
charged currents - Nature has neutrino masses
- Nature has an apparent cosmological constant
- All were viewed as non-minimal, inelegant, and
unmotivated by many physicists before they were
discovered - Minimalism, elegance and motivation are
time-dependent human judgments - They depend upon current experimental knowledge
- They depend upon current theoretical
understanding - The Minimal Standard Model is not minimal from
a theoretical standpoint it is simply the
minimal model that fits the data (and it did not
originally include neutrino masses.) - So we should worry a bit that our cultural bias
toward minimal models could mislead us about the
physics that we are going to discover
6Is this a serious concern?
- This is a problem only if the experiments are
poorly designed for the physics they will
encounter - But of course CMS and ATLAS were designed as
multi-purpose detectors that could find - standard model Higgs
- supersymmetry
- technicolor,
- any other new physics which has high-momentum
jets, leptons, missing energy, photons, etc. - Black holes decaying to many particles
- Extra top-quark-like states decaying to Zt, Wb.
- Can an experiment that can see a minimal model
miss a non-minimal model? - Naively, adding something non-minimal one extra
particle, for instance cant change a theory so
drastically as to cause a problem - Lets look at a simple example that shows this
isnt true
7Modifying the Higgs Sector
- The Higgs boson is very sensitive to the presence
of additional scalar particles - More scalars can generate mixing of eigenstates,
new decay channels, new production mechanisms. - Lets consider adding a single real scalar S to
the standard model - S carries no charges and couples to nothing
except the Higgs, through the potential
8If ltSgt 0, an Invisible Decay
- If, at the minimum of V(H,S), ltHgtv / v2 , ltSgt0,
- then S2H2 ? (vh)2S2 v2 S2 2v
hSS hhSS -
- a shift in mass for S and a cubic coupling
- This allows h ? SS (if mh gt 2 mS) with a width
h2v2 / mh. - This can easily exceed decays to bottom quarks,
with width yb2 mh ! - So Br(h ? SS) could be substantial, even 1 for a
light Higgs boson, depending on h. -
- But S is stable. There is an S ? -S symmetry. So
this decay is invisible. - Therefore a light Higgs could be essentially
invisible - (its existence might be inferred in VBF or
diffractive Higgs production, with difficulty.)
9If ltSgt nonzero, a 2nd Higgs
- If, at the minimum of V(H,S), ltHgtv / v2 , ltSgt
w / v2, S (ws) / v2 , -
- then S2H2 ? (vh)2(ws)2 v2 s2 w2 h2
4vw hs 2v hss 2w hhs hhss - we get new mass terms, new cubic couplings, new
quartic couplings - (Note I cheated slightly here need to
self-consistently find minimum) - The first two terms shift the masses the third
allows h and s to mix! - Thus we have two eigenstates with masses m1 ,
m2 - Both eigenstates couple to WW, ZZ, bb, gg, gg,
through their h component for instance,
10If ltSgt nonzero, a 2nd Higgs
- So there are two scalar particles that can be
produced in gg collisions - And both decay to usual Higgs final states, via
their h component --- thus - f1 has same branching fractions as an SM Higgs
boson of mass m1 - f2 has same branching fractions as an SM Higgs
boson of mass m2 - So there are two Higgs-like states to find,
- each with a reduced production cross section,
- each standard-model-like in its branching
fractions. - EXCEPTION if m1 gt 2 m2, then a new decay channel
opens up - f1 ? f2 f2 ? (bb)(bb),
(bb)(tt-), (tt-)(tt-), (bb)(gg), (gg)(gg) - These exotic final states can occur in many
models recent heightened interest, since a light
Higgs with these decay channels can escape LEP
bounds.
11Higgs decays to 4 fermions
b
h
g
S
h
S
b
b
S
h
g
b
mixing
- See Dermasek and Gunion 04-06 h? aa ? bb bb, bb
tt, tt tt, etc. and much follow up work by many
authors - Fox, Cheng, Weiner 05 have even found h ? 6
taus, h ? 8 bs
12Non-minimal and important
- Clearly these types of multiparticle decays could
have a huge impact on the ability to detect the
Higgs boson - Multi-b signatures are nearly impossible
- Multi-photon signatures are good, but rare
- Photons and taus?
- It is possible for a light higgs to decay this
way 100 - Not yet clear what the best experimental search
strategies are - Not yet clear whether ATLAS, CMS, or LHCb is
best-positioned to find a Higgs that decays this
way.
13Non-minimal may be easier
Displaced vertex
w/ K Zurek, May 06
b
h
g
S
h
S
b
b
S
h
g
b
mixing
Displaced vertex
An Overlooked Discovery Channel ! Appears in
many models. Other final states possible as
well. Opens possibility of Higgs discovery by
LHCb Maybe powerful at CMS, ATLAS even with 1
branching ratio
14Higgs decay to displaced vertices
Second decay occurs too far out for track
reconstruction jet without tracks.
15Technical Problems
- The ATLAS and CMS experiments are not optimized
to look for long-lived particles decaying in
flight - Some long-lived particles can be found with
special purpose techniques that have been studied
and validated much work in Rome - If the particles are slow, timing can be used
- If the particles are charged and dont decay,
they may appear as strange tracks with unusual
energy deposition, shape, etc. - If a particle decays inside the beampipe,
vertexing can find them (but no searches at
Tevatron have been performed!) - But if the decay is between the beampipe and the
outer edge of the muon detector, problems! - The detector trigger, tracking and reconstruction
software all assumes that particles come from the
primary vertex or very nearby - Tracking is only available in the high-level
trigger - Tracking is too dilute to allow for
high-efficiency identification of displaced
vertices outside the beampipe - Decays in the calorimeters are difficult to
recognize - Backgrounds to displaced vertices at the Tevatron
are known to be substantial
16Efficiency Issues
- These displaced vertices are precious
- They have no standard model background ?
Gold-Plated - They may be rare
- They may be recorded and found by accident, but
should something so potentially important be left
to chance? - For these reasons, we would like to actively find
them - We would like to be able to find them at trigger
level or at least, find hints that allow us to
save candidate events with higher efficiency - We would like to be able to flag events at
trigger level that deserve special-purpose
initial reconstruction analysis - It has not yet been demonstrated that this is
possible, but both CMS and ATLAS are engaged in
preliminary studies - Seattle Rome working group within the ATLAS
collaboration
17Culture and Theory
- Various non-MSUGRA versions of supersymmetry from
the 1990s predict various possibilities for
long-lived particles decaying in the detector - Long-lived neutralino decaying to a gravitino
plus - Photon studied
- Z not studied
- Higgs not studied
- Long-lived stau decaying to gravitino plus tau
studied - Long-lived gluino decaying to gravitino plus jets
not studied - Long-lived neutralino decaying to muon pairs plus
neutrino not studied - Long-lived neutralino decaying to jets not
studied - Even MSUGRA with one extra particle can give
these phenomenological signatures - These ideas came too late to affect the basic
CMS, ATLAS design - But it is surprising that so few Tevatron
searches or LHC studies have yet been done - Is this another example of the tyrannical hold
that minimal models have on our culture?
18Supersymmetry and its Signals
- The classic supersymmetry signal missing
transverse energy - Vast majority of SUSY searches focus on this
variable - Where does this really come from?
- There are two neutral stable particles produced
in every event - Why?
- R-parity a global symmetry (needed to forbid
proton decay) under which - The SUSY partners are charged
- The known SM particles are not
- The chain of reasoning is this
- Superpartners must be produced in pairs to
conserve R-parity - A superpartner must decay to a superpartner, to
conserve R-parity - Therefore the lightest R-parity-odd particle ---
the lightest superpartner (LSP) -- is stable - New stable charged/colored particles are
constrained, so the LSP is neutral - Therefore the final state of superpartner
production always has two stable neutral
particles
19A New Exact Global Symmetry
- Suppose we have new particles X1 , X2 , X3 , X4
, Xn - (Lets order them by mass, X1 the lightest, Xn
the heaviest) - All carry a new global X-charge
- In any SM collision,
- initial state is global-neutralso
- the final state is also global-neutral therefore
- Xi cant be resonantly produced cannot have
- q q ? X1
- Instead they must be produced in pairs,
- e.g. q q ? X1 X1
- q q ? X1 X2
- (if X1 ,X2 have opposite
global charge) - The LXP (the lightest particle carrying X-charge,
X1) is stable - Therefore the LXP must be electrically-neutral
and color-neutral - And thus it interacts very weakly with ordinary
matter, at best comparable to a neutrino, perhaps
even more weakly.
q
X1
q
X1
q
q
X1
20A Pair of Invisible Particles !
u
u
X1
X7
X6
X4
X9
m
X3
h
q
n
b
e
b
e-
q
X9
u
d
Every XX event has two invisible LXPs!
Transverse Momentum Imbalance (MET)
X1
21Collider consequences
- MET in X-particle production
- Cascade decays of X-charged particles
- No resonant production or resonant decays of new
X-charged particles - Expect kinematic endpoints and edges from
three-body decays, multiple two-body decays, etc.
with a missing particle
Example
The invariant mass of the mm- pair from the
three body decay X2 ? mm- X1 will have a
kinematic endpoint at Dm m2 - m1
Signal plus background
q q ? mm- j j MET
Signal
mZ
Dm
22Effect on quantum corrections
The global symmetry is also partly responsible
for the small corrections to electroweak
precision measurements.
- Suppression of higher-dimension operators
- Suppression of loops
- Thus the success of SM predictions for
electroweak observables suggests that a global
symmetry as well as weakly-interacting physics is
present in TeV physics beyond the standard model
Low energy
Shifts W mass
Suppressed by heavy mass
23Signs of Supersymmetry?
- MET in X-particle production
- Cascade decays of X-charged particles
- No resonant production or resonant decays of new
X-charged particles - Kinematic endpoints and edges from 3-body decays,
multiple 2-body decays, etc. with a missing
particle - Dark matter candidate
- Electroweak precision data is close to standard
model prediction - All are characteristics often said to be those of
SUSY. - But they are not!
- They are consequences of a conserved global
symmetry - in SUSY case, its R-parity
- If you remove R-parity and keep supersymmetry,
you lose these features - If you keep R-parity and remove supersymmetry,
you keep these features. - If you take little Higgs or extra dimensions and
add a corresponding T-parity or KK-parity,
you get the same features - Suppose LHC observes missing energy signals plus
jets and leptons, and kinematic endpoints but no
resonances, - This will suggest new particles with a new global
symmetry
24Are we thinking too minimally?
- Our reasons to expect SUSY are strong, but not as
strong as is sometimes suggested. - Electroweak precision data gives us good reasons
to expect a new global symmetry along with
weakly-interacting TeV-scale physics which may
or may not involve SUSY. - Still, perhaps one can conclude that the
phenomenology will be roughly similar to what one
expects in SUSY studies, even if the global
symmetry does not involve SUSY? - This is not the case!
- Electroweak precision data does not require
- that the new global symmetry is exact (1-10
violations are ok) - that it is carried only by particles that couple
with electroweak strength or greater to the
standard model - The phenomenological consequences of a new global
symmetry that we outlined above may be
dramatically changed if either - The symmetry is approximate (as in R-parity
violation) will not discuss here - The symmetry is exact (no R-parity violation) but
is carried by particles in an sector ultra-weakly
coupled to the standard model.
25An ultra-weakly coupled sector
- Suppose that the standard model and the particles
X1 , X2 , X3 , X4 , Xn carrying the new global
charge all couple to each other with
weak-interaction strength or stronger - But in addition there is another sector
containing - particles f1 , f2 , f3 , f4 , fm neutral
under the new global charge - particles x1 , x2 , x3 , x4 , xr charged
under the new global charge - These particles may couple to each other rather
strongly, but - They couple to SM particles and the Xi
ultra-weakly - (much more weakly than the weak interactions)
SM particles and X1 , X2 , X3 , X4 , Xn
New Sector f1 , f2 , f3 , f4 , fm x1 , x2 , x3 ,
x4 , xr
Very weak coupling
26Simple case first one x
New Sector x1
- Suppose the new sector consists only of one
globally-charged particle x1 ( or x for short) - Suppose also that x is lighter than X1, so that
although X1 is the LXP in the sector containing
the SM (the LsXP), the true LXP is x - Remember the two sectors are ultra-weakly coupled
to one another - Now reconsider
The couplings to the other sector are far too
small to affect any stage of this physical process
27X1
so nothing happens
28X1
until
29Late Decays
u
u
x
X1
So X1 is long lived, and may decay anyplace
inside or outside the detector. An example
Gauge Mediated Supersymmetry Breaking The
global symmetry is R-parity and x is the
gravitino, the true LSP
30Phenomenological Consequences
- The LsXP X1 need not be neutral, colorless (since
it is unstable, there are no constraints) - The LsXP X1 (2 per event) may
- Be stable on detector timescales
- Invisible if neutral
- Visible if charged
- Challenging if colored
- Decay promptly
- Many possible final states for X1
- A photon for each X1
- A tau for each X1
- A b-bbar pair for each X1
- A Z boson for each X1
- Etc.
- Decay with a displaced vertex (inside or outside
the beampipe) - All of the above final states to consider
- Many different areas of detector to consider
- So the addition of one extra particle
dramatically widens the range of possible
phenomena within any model with a new global
symmetry - Some of these are challenging for the LHC
detectors
31Larger new sectors
- This is what can happen if the ultra-weakly
coupled sector has one particle - If it has more than one particle, so that decays
within the new sector can occur (e.g. hidden
valley), then the range of possible signals
becomes much larger - Suppose there are three particles in the new
sector, - x1 , x2 that carry global charge, and
- f that doesnt carry it
- And suppose the interactions among these
particles are strong. - (They are weakly coupled to the SM, remember, but
they need not be weakly coupled to each other.)
32Late Decays
u
u
x2
X1
33 f
x2
f
f
f
x1
34Yes, this happens in some models! See recent
work on Hidden Valleys
- decay to SM particles is through very weak
interaction and may also produce (highly)
displaced vertices
u
u
f
f
b
f
e-
e
b
35Multiparticle production
- Cascade decays and/or strong interactions in a
hidden sector may lead to multi-particle
production - This can significantly reduce the MET signature
of a theory with a new global symmetry - Complex, busy events can also pose analysis
challenges - Jet reconstruction may be unreliable and not
well-matched with underlying partons - Lepton isolation cuts may be inefficient
- If displaced vertices are present, then the
challenge is to find them - Similar issues to Higgs boson decays discussed
above - Number of displaced vertices may be larger,
environment much busier
36Lessons
- What we learn from this is the following
-
- Even if the most optimistic theorists are right
and - Supersymmetry is truly the solution to the
hierarchy problem - R-parity is exact and stabilizes a dark matter
candidate - a minimal amount of non-minimality may cause
the phenomenology of supersymmetric models to
differ wildly from the standard high-pT jets and
leptons plus MET expectation - rather few scenarios have been studied by
theorists, fewer by experimentalists some
recently-discussed scenarios pose new
experimental challenges and provide new
opportunities - it will be a long road from the discovery of
an R-parity-like global symmetry to an actual
claim of having found supersymmetry.
37General lesson
- SU(3)xU(1)-neutral particles can serve as windows
into new sectors of relatively light particles - Higgs can decay often to unknown particles
- Neutralino LSP can decay always to unknown
particles - Charged LSP can decay via virtual LSP to charged
particle plus unknown particles - Z can only very rarely decay to unknown particles
- Sterile neutrino decays?
- Z decays?
- Also, heavy charged particles can also decay into
new unknown particles plus standard model ones - There are many places to go looking
experimentally, not just Tevatron and LHC
38Hidden Valley Models (w/ K. Zurek)
April 06
Communicator
Hidden Valley Gv with v-matter
Standard Model SU(3)xSU(2)xU(1)
39Energy
A Conceptual Diagram
Inaccessibility
40Instructive Class of Models
- Easy subset of models
- to understand
- to find experimentally
- to simulate
- to allow exploration of a wide range of phenomena
- This subset is part of a wide class of QCD-like
theories
New Z from U(1)
Hidden Valley v-QCD with 2 light v-quarks
Standard Model SU(3)xSU(2)xU(1)
41q q ? Q Q v-quark production
v-quarks
Q
q
Z
q
Q
42q q ? Q Q
v-gluons
Q
q
Z
q
Q
43q q ? Q Q
q
Q
Z
q
Q
44q q ? Q Q
v-hadrons
q
Q
Z
q
Q
45q q ? Q Q
v-hadrons
q
Q
Z
q
Q
46q q ? Q Q
Some v-hadrons are stable and therefore invisible
v-hadrons
But some v-hadrons decay in the detector to
visible particles, such as bb pairs, tau pairs,
etc.
q
Q
Z
q
Q
47q q ? Q Q
v-hadrons
In many models some v-hadrons have long lifetimes
and produce highly displaced vertices
q
Q
Z
q
Q
48(No Transcript)
49Unusual Phenomenology
- Multi-particle production is typical
- Large numbers of quarks likely (e.g. 14 b quarks
not unusual) - Possibly some lepton pairs, often not isolated
- Number of jets and isolated leptons does not
match well to number of quarks and leptons
produced! - Underlying kinematics is almost completely
scrambled analysis challenge - Large event-to-event fluctuations are typical
- Number of v-hadrons produced
- Number of visible/invisible v-hadrons
- pT spectrum of visibly-decaying v-hadrons
- Usual jet fluctuations on top of this
- Challenge to collect events into a signal
- Missing energy is likely
- Typically some v-hadrons carry a conserved charge
(such as isospin-like or baryon-like quantum
number) and are stable - Some v-hadrons may have lifetimes too long to see
within the detectors - Multiple displaced vertices are possible
- Great if present Gold-Plated
- Possibly challenging for trigger and tracking
- If absent, serious analysis challenge
50Theory, Nature, and the Culture of Particle
Physics
- Theoretical and even Experimental Particle
Physics often view simplicity as a mark of a
good theory. - It is well-known that every difficult problem
has a solution which is simple, elegant,
beautiful, and wrong. - Application of Occhams Razor
- The Minimal XXXX Model
- The Next-to-Minimal XXXX Model
- Yet history has not been kind to minimal models
- What seems non-minimal and complex today may seem
minimal and elegant tomorrow - To the extent that our appreciation of minimal
theories blinds us to experimental possibilities,
it is important that we look more widely - I have argued that the physics of Higgs bosons,
of supersymmetry, of Z bosons, and indeed of
almost any well-studied phenomenon can be
drastically altered by one or more non-minimal
particles - Some phenomena that arise are known but have not
been sufficiently considered others are new and
completely unstudied - The LHC experiments cannot prepare for
everything, but it is important to expand the
scope of their preparations to include the kinds
of phenomena I have discussed here.