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New realities?
Oct 5th 2000
>From The Economist print edition

The “standard model” of the way the universe works is just about complete.
Time to start looking for a new one

A HUNDRED years is a suspiciously round number. But if researchers at CERN,
the European particle-physics laboratory near Geneva, turn out to be correct,
it is exactly the period needed to build a model of how the universe works.
Construction began in 1900 with Max Planck’s publication of the first
incarnation of quantum theory. Since then, and particularly with the
development of high-energy particle accelerators in the 1930s and 1940s, the
structure of matter has been probed in greater and greater detail while
theorists have sought to impose order on what has been discovered. The result
of their labours, now known as the standard model, will be complete—bar the
odd dotting of “i”s and crossing of “t”s—with the discovery of a particle
called the Higgs boson. This would round off the 18-strong menagerie of
fundamental, irreducible particles required by the model. (The 17th, known as
the tau neutrino, was announced two months ago by researchers at CERN’s
American rival, Fermilab.) And over the past few weeks indications have
emerged from CERN that the Higgs is indeed a reality.

Discovering the Higgs would be an impressive piece of work. Historians of
science may, however, pause at this point. For it sounds suspiciously like
the consensus that prevailed at the end of the 19th century, just before the
publication of Planck’s paper. Then, too, physicists had a description of the
universe that had few apparent flaws. Some of the more hubristic thought the
job was done and that the science they had created was, in effect, a “theory
of everything”.

But it wasn’t. Classical physics, as it is now called, turned out to be a
mere engineer’s approximation to reality—good enough for everyday working,
but actually explaining nothing fundamental. Today, physicists are more
cautious. Few believe that the standard model is really a theory of
everything, but none knows for certain what the next step—the equivalent of
Planck’s paper—will actually be. That, however, makes the future of physics
much more exciting. For the first time in several decades (assuming that the
world’s taxpayers will continue to fork out for the necessary equipment)
fundamental physics will become a voyage into the unknown.
Brave new world

At first sight, the standard model looks relatively simple. The 18 particles
are divided into fermions (the actual constituents of matter) and bosons
(which carry the forces that allow fermions to interact).

The fermions themselves are divided into two groups, the quarks and the
leptons. Each of these comes in three generations, or “flavours”, of
successively heavier species. The first-generation consists of the
ingredients of everyday matter. Its quarks, the up and the down, are the bits
inside protons and neutrons, the constituents of atomic nuclei. The first
generation of leptons consists of the electron (the third constituent of
atoms) and its corresponding neutrino—a particle so small that people are
still arguing about whether it has any mass at all. Particles of the second
and third generations are mostly short-lived and so rarely found outside
particle-physics laboratories, though they were common at the beginning of
the universe. The second generation’s quarks are known as charm and strange;
its leptons are the electron-like muon and the muon neutrino. The quarks of
the third generation are called top and bottom; its leptons are the tau and
the tau neutrino.

The most familiar of the bosons is the photon—the particle of light. Photons
carry the electromagnetic force, the weakest in the standard model, and have
no mass. The second force in the model, known as the weak nuclear force,
controls radioactive decay. It is stronger than the electromagnetic force,
but operates at shorter range, and is carried by three bosons, the W+, the W-
and the Z. Weak bosons, unlike photons, are massive. The model’s third force,
known as the strong nuclear force, is the most powerful of the three. It
holds quarks, and thus atomic nuclei, together. This force is carried by
particles known as gluons. To confuse matters further, the strong-nuclear
“charge” comes in three varieties, known to physicists as red, green and
blue. Because of their different “colours” each quark comes in three
varieties, and there are eight distinguishable gluons. Gluons, like photons,
are massless.

All very neat. But then there is—or at least there ought to be—the Higgs. The
Higgs boson was actually the standard model’s first “kludge”. The model’s
original mathematics had the inconvenient consequence that they failed to
predict the existence of mass. Introducing the Higgs boson solved this, and
also explained why, among all the other bosons, weak-nuclear ones are the
only ones with mass: the Higgs has no electric or colour charge, and so it
conveniently affects only the weak force. But the original calculations about
the Higgs gave it, and in turn the Z and the two W particles, a near-infinite
mass. Physicists had to rid themselves of this annoying problem (called
“unnaturalness”) by using a bit of mathematical trickery to add appropriate
fiddle factors to their equations. Its failure to solve the unnaturalness
problem in a more convincing way is one of the main outstanding defects in
the standard model.

It is not, however, the only one. Another defect is that the model fails to
account for the most ubiquitous force of nature, gravity. A third, called the
flavour problem, has two parts. One is the puzzle of why there are three and
only three generations of fermion, given that the second and third
generations seem almost redundantly similar to the first, except for their
higher masses and shorter lifetimes. The other is why the particles in each
generation have the masses that they do. (These range from the imperceptible
for neutrinos, to something larger than a gold atom for the top quark.) The
fourth mystery, the hierarchy problem, is why the different forces operate at
such different energies, whether they are actually all manifestations of the
same underlying phenomenon, and how they can be united mathematically if they
are.

Kludging all of these problems in the way that was done for the Higgs would
be hard. It would also be unsatisfactory. Most physicists have a deeply held
belief that universal laws should be elegant, so what they are looking for is
not a kludge, but a better theory. Such a theory would reduce the standard
model, too, to an engineer’s approximation. But it might prove to be a
stepping-stone to a real theory of everything.
Strange, but true?

There are, so far, three main contenders for the next great theory of
physics. They are known as technicolour, supersymmetry and extra dimensions.
All have the full complement of weirdness and wonderfulness that the man in
the street might expect. And all depend on gaining a deeper understanding of
the symmetries that are believed to underpin the structure of reality.

Symmetry, in mathematical terms, means more than just the commonplace idea of
mirror images. A process is mathematically symmetrical if it conserves
something. Different forces have different symmetries; indeed, they are
defined by them. When an electron radiates a photon, electric charge is
conserved. When it exchanges a W boson with a neighbour, it is the weak
charge that does not vary. And when quarks interact via gluons, the conserved
property is colour. However, if the energy with which particles are slammed
together in accelerators is increased, there is reason to believe that the
symmetries (and hence the forces) will merge—bringing the unity of nature a
step closer.

That has happened once already. At a suitably high energy, the
electromagnetic and weak nuclear forces unite. They are, in other words, two
manifestations of an underlying “electroweak” force. All the contenders to
replace the standard model come with their own unifying symmetries built into
them. It is these that define them.

In the case of technicolour, this symmetry is connected with a postulated
“technicolour force” that is a scaled-up version of the strong force. This
force would be powerful at high energies, but weak at those achieved in
existing accelerators, which is why it has not yet been noticed.

Technicolour theory suggests that the Higgs boson, instead of being an
elementary particle, is in fact a mushy complex made up of new particles
called “techniquarks”. That eliminates the problem of unnaturalness because
the techniquark complex does not need the fine-tuning that the Higgs
mechanism requires. And, conveniently, the complex would fall apart, breaking
electroweak symmetry, at exactly the energy level at which the transition
occurs in nature, giving this phenomenon a rational explanation missing in
the standard model.

Unlike any of its rival theories, technicolour can also dispose of the
flavour problem by explaining why there are three generations of fermions,
and where their strange pattern of masses comes from. At high energies, it
suggests, quarks, leptons and techniquarks are all unified into a single
extended “technifermion”. At lower energies, the symmetry is broken, and the
three quark and lepton generations will split off in the way that is seen in
nature.

Technicolour, according to its proponents, can also explain the hierarchy
problem. This is because the force between techniquarks becomes weaker at
higher energies. Go high enough and it has about the same strength as the
electroweak force and can be unified with it.
Technicolour should also be eminently testable. It predicts, in the form of
the techniquark complexes, a whole new complement of massive particles. These
have not yet been observed, but when new experiments at Fermilab get under
way it should become clear whether technicolour is real or not.

Guido Altarelli, a theoretical physicist at CERN believes that it will turn
out not to be. He reckons that supersymmetry is a stronger contender for the
throne. This theory argues that for every fermion in the standard model there
is a corresponding “supersymmetric” boson, and vice versa. The electron, for
example, would have a new bosonic partner called the selectron, and the Ws
would have fermionic twins called Winos. Similarly, there will be such
objects as gluinos, sneutrinos, photinos and squarks.

Supersymmetry elegantly solves the problem of unnaturalness. The fiddle
factors required by the extended set of bosons cancel those required by the
extended set of fermions, so no fine-tuning is required. And the masses of
the standard-model particles will conveniently come out right, too.
Another neat aspect of supersymmetry is that it points towards the
unification of the strong, electromagnetic and weak forces—part of the
hierarchy problem. Taking the interactions of supersymmetric particles into
account gives a prediction for the strengths of the various forces which
agrees with the values measured in the laboratory better even than the
standard model does. That, given the accuracy with which the standard model no
rmally matches reality, is encouraging for supersymmetry’s proponents. The
most compelling reason to prefer supersymmetry to technicolour, however, is
that it can accommodate gravity. This is because the equations describing its
symmetries match those of Einstein’s general theory of relativity, the best
explanation so far of how gravity works.

Testing supersymmetry could be tricky. The theory does not really specify the
masses of the new particles that it predicts—apart from suggesting that they
will be large. But this means that a substantial amount of missing energy
should show up (or, rather, not show up) in the detector of a particle
accelerator that was set up to look for them. Noticing that missing energy
would allow new sorts of particle to be tracked down.

A proton-antiproton collision, for example, should produce a pair of squarks
in the right circumstances—if supersymmetry theory is correct, that is. That
would carry away a lot of energy that should otherwise be detected. Franco
Bedeschi, physics co-ordinator of CDF, one of the experiments at Fermilab,
says that assuming a squark mass of around 300 billion electron volts (an
electron volt is a measure of a particle’s energy and thus, according to
Einstein’s special theory of relativity, of its mass) around 1,000 such
events should be detected in the first two years of operation of Fermilab’s
upgraded Tevatron machine, which should see its first collisions in March
2001.

The third candidate to replace the standard model is, perhaps, the most
bizarre of all. The standard model more or less agrees with common, everyday
experience to this degree: it works in four dimensions (three of space and
one of time). Theories of extra dimensions, by contrast, say that there are,
in fact, at least five of them. The reason the extra dimensions are not
experienced in everyday life is that they are so tightly curled up that they
cannot be seen.

This picture has the virtue that no new particles are required to make it
work except for a gravitational boson called a graviton. Not only is gravity
an integral part of extra-dimension models, but the gravitational part of the
hierarchy problem—why gravity is the weakest force of nature—is easily solved
by adding a fifth dimension. This extra dimension is gravity’s true habitat,
and there it is a strong force. The weak effect that it exerts on familiar
objects is because only part of its strength trickles through to the world of
human experience.

Testing the theory of extra dimensions poses different difficulties from
those associated with the other two. At least with them, there are a lot of
new particles to look for. But Graham Ross, a physicist at Oxford University,
argues that it should be possible to make gravitons in particle accelerators.
They would, according to the theory, show up as “towers” of many different
excited states. These so-called “Kaluza-Klein states” would each be separated
by a few electron volts and would be detectable because they would result in
a large number of characteristic photon or electron pairs.

There is no hard evidence yet as to which, if any, of the standard model’s
rivals is correct. But a tantalising glimpse of a world beyond came from CDF
earlier this year. Its researchers saw two electrons and two photons fly off
in a collision, but some of the energy that should have resulted from the
collision was missing. This could have been disappearing in the form of a
pair of selectrons, which would be evidence in favour of supersymmetry.

Experimenters at another of Fermilab’s particle-physics experiments, known as
D0, have also seen something odd happening. They have found events that
should have corresponded to the production of top quarks. A closer look at
the properties of these collisions, however, suggested they were not typical
of top quarks at all. The researchers could not be more definite than that,
but the possibility remained that they had seen the production of some
supersymmetric particles.
Testing times

The main problem, however, in testing technicolour and supersymmetry is that
they generally predict particles with masses too large to be created at the
energies probed by today’s particle accelerators. So finding out which, if
any, of the new theories is right will probably be the job of new machines
now under construction—the improved Tevatron, and the new Large Hadron
Collider at CERN which is due for completion by 2005 and will smash protons
together at 14 trillion electron volts, the highest energy ever achieved in a
laboratory.

Finding gems among the dross of familiar particles that these machines will
inevitably generate will, however, be hard. Big accelerators create around
10m collisions a second. Physicists are able to track and record only 50 or
so of these. This means they have to choose those that look interesting.
That, in turn, requires a system of computers which can judge what is
interesting within microseconds—filtering out the numerous “standard” events
and recording only those with distinctive features that make them stand out
from the crowd.

Existing systems designed to do this have expectations of what to look for
built into them. That has worked for the standard model because its
predictions are relatively clear. But the new physics requires a new
approach, and that is provided by some physicists at D0. They have invented a
new computer program called “Sleuth”.

John Womersley, the co-ordinator of D0, believes that Sleuth is the first
truly model-independent way of analysing data that has become available in
the search for new physics. It works by comparing the range of standard-model
predictions for the momentum and missing energy of decay products with those
that are observed experimentally. If an intruder is hiding among those
products, Sleuth will spot that there is something wrong and alert its
masters. Although this will never be as sensitive as a targeted search, Dr
Womersley argues that, unlike present analytical methods, it is open to any
kind of new particle—even those accounted for by theories that have yet to be
dreamed up.

All in all, then, it looks as though the standard model has had its day—or
soon will have had. The question is, when will its successor be clear?
According to Dr Ross, the lightest supersymmetric particles should already be
accessible to accelerators, so fans of that theory should be getting nervous
that nothing definite has yet turned up. Dr Womersley agrees that physicists
must see something soon. He believes that the standard model will be
overthrown within the next five years. But which of the contenders will
actually make it into the textbooks that physics students 100 years hence
will peruse remains to be seen. Watch this space—however many dimensions it
turns out to have.






Websites

Fermilab in Illinois gives an introduction to particle physics, including an
explanation of Max Planck’s “Standard Model”. An article in FermiNews
discusses the impact of the Higgs boson on the “Standard Model”. The Large
Electron-Positron collider (LEP) and Large Hadron Collider (LHC) are
described in a nutshell by CERN. Fermilab’s “CDF” and D0 experiments have
fuelled the debate. Discover more about the capabilities of the “Sleuth”
program. Articles by Graham Ross and Joseph Lykken are available here. BUBL
provides extensive links for particle physics resources.










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