The Higgs Boson: Searching for the God Particle (24 page)

The appeal to a broken symmetry may at first seem to be an ad hoc solution.
In reality, however, the concept of broken symmetry is a familiar and powerful tool of physics. One of its great triumphs is seen in the theory of electroweak interactions. In that theory a symmetry naively implying that the photon,
W+
,
W-
and
Z
⁰
particles are all massless is broken. As a result the
W+
,
W-
and
Z
⁰
particles are expected to have mass. Moreover, their masses are correctly predicted by the theory. It is easy to construct a theory that maintains all the desirable aspects of a perfect supersymmetry but in which the supersymmetry is broken in such a way that the masses of the superpartners are much larger than the masses of the corresponding standardmodel particles.

Can the masses of the superpartners be predicted? A possible answer is suggested by the arguments regarding the wide difference in mass between the W and
Z
⁰
bosons and the Planck mass.
The delicate cancellations required to explain the disparity remain operative in a slightly broken supersymmetric theory, but only if the superpartnermasses are not much larger than the W and
Z
⁰
boson masses.

As work on the mathematical structure and properties of supersymmetric theories has progressed, physicists have increasingly wondered how experimental evidence for supersymmetry might be detected. If nature is supersymmetric, how would investigators recognize it? In 1979 Pierre Fayet,
now at the Ecole Normale Superieure in Paris, first studied these questions,
partly in collaboration with Glennys R. Farrar, now at Rutgers University.
By the early 1980's the mathematical motivations for the study of supersymmetry had become clearer and a better understanding of how to build realistic models incorporating supersymmetry was developed. At that point we and others began to study in detail the question of how to recognize evidence for supersymmetry.

Today that question is essentially answered. Physicists know how to calculate the predictions of supersymmetric theories and how to decide whether a particular experimental signal,
or class of events, does or does not substantiate a supersymmetric theory.
Furthermore, it is known how to set quantitative limits on a supersymmetric theory if no signal is observed in a given set of experiments.

Suppose two normal particles, such as two electrons or two protons, are accelerated to high energies and supersymmetric particles are produced in any collisions that ensue. What predictions does supersymmetry make about such particles?

A conservation law of supersymmetry leads to two results. First, supersymmetric particles cannot be produced alone; they must be produced in pairs. Second, if a supersymmetric particle is produced, its decay products must contain an odd number of supersymmetric particles. As a consequence the least massive of all the supersymmetric particles must be stable, since there are no lighter supersymmetric particles into which it can decay. There are several candidates for the least massive supersymmetric particle. For now we shall assume it is the photino.

The existence of a least massive supersymmetric particle has important consequences for the detection of supersymmetry in the laboratory. (In addition the least massive supersymmetric particle could have cosmological consequences: it might account for the so-called dark matter, or missing mass,
of the universe.) All supersymmetric particles except the least massive one decay into particles that must include the least massive one at the end of their decay chain. The decays occur so fast that the decaying particle does not have time to travel a detectable distance.
If a supersymmetric particle were produced, only its stable decay products, which would be standardmodel particles and the least massive supersymmetric particle, would be observed in the laboratory. To detect supersymmetric particles, therefore, the least massive supersymmetric particle must be detected.

Unfortunately the probability that the least massive supersymmetric particle could be directly detected is so low as to be negligible: it interacts very weakly with ordinary matter and would escape any detector. As a result the total energy, including the rest mass, of the detected product particles would be less than the total energy of the colliding particles. In other words, the signature of supersymmetry is missing energy: the energy is carried away by the least massive supersymmetric particle.

Can a particle be discovered indirectly by observing that a substantial amount of energy is missing? The answer is yes. That is how the existence of the neutrino was deduced about 50 years ago. Much more recently (in 1983) the existence of the W boson was confirmed by a similar method. In experiments done at CERN, the European laboratory for particle physics in Geneva, W bosons were produced by the collision of protons and antiprotons.
(An antiproton is identical in mass with a proton, but its charge is negative.) Some of the W bosons subsequently decayed into an electron and a neutrino. The neutrino escaped the detector, leaving a high-energy electron.
By measuring the energy of the electron and determining what the energy of the neutrino must have been for energy conservation to hold, the existence of the W boson was inferred and its mass was determined.

Similar experiments for detecting supersymmetric particles are now being done with electron-positron colliders and proton-antiproton colliders.
(A positron is identical in mass with an electron, but its charge is positive.)
Collisions between pairs of electrons and positrons could produce pairs of positively and negatively charged selectrons.
The positively charged selectron would rapidly decay into a positron and a photino and the negatively charged selectron would decay into an electron and a photino. Both photinos would escape, so that an event of this type, if it occurred, would be characterized by the fact that on the average half of the energy would be missing.

Since the outgoing positron and electron arise from different decays,
their directions would be uncorrelated:
they would not point in opposite directions,
as would be expected in a normal collision. Moreover, if a plane were defined by the incoming particle beams and the outgoing positron, the outgoing electron would not in general lie in that plane, again contrary to the result of a normal collision. Searches for events with these characteristics have been made at electron-positron colliders such as the CESR at Cornell University, PEP at Stanford University and PETRA in Hamburg. So far no candidates have been found.

The negative results do not rule out supersymmetry. They only mean that selectrons lighter than the highest energy available at electron-positron colliders do not exist; the mass of a selectron must be at least 23 times greater than the mass of a proton (roughly a billion electron volts), or about 28 percent of the mass of a W boson. (Certain indirect methods allow somewhat larger masses to be ruled out.) Such quantitative limits can be obtained because super symmetry is a well-defined theory in which one can calculate whether a detectable number of events due to supersymmetric particles of a given mass would be expected in a given experimental situation. Without such calculations a positive result could still be interpreted as evidence for supersymmetry, but a negative result would simply imply that too few superpartners were produced, with no information on the possible allowed masses. Because it is reasonable to expect the masses of supersymmetric particles to be as large as a few Wboson masses, colliders able to explore regions of higher energy are needed.

The available energies at protonantiproton colliders are somewhat higher, but there the comparison between theory and experiment is subtler.
It is subtler because of the composite nature of the proton: calculations must take into account the fact that a proton consists of three quarks and a number of gluons that bind the quarks together. As might be expected,
in a moving proton about half of the momentum is carried by the gluons and the other half by the quarks. Then each of the three quarks must carry about a sixth of the total momentum.
Existing machines, limited essentially by economic considerations, have produced 23-billion-electron-volt (BeV)
collisions between electrons and posi-trons and 315-BeV collisions between protons and antiprotons. As a result the quarks and gluons in a proton, even though they carry only a fraction of the proton's momentum, can still be exploited to probe mass scales higher than those accessible to present-day electron-positron colliders.

A number of different collisions can take place at proton-proton or protonantiproton colliders. Suppose a quark from one proton strikes a gluon from an antiproton and produces a squark and a gluino. The squark would rapidly decay into a quark and a photino,
and the gluino would decay into a quark, an antiquark and a photino.
An isolated quark or antiquark cannot emerge from the collision; instead it must somehow turn itself into hadrons.
Because the emitted particle is energetic in this case, it turns itself into a group of hadrons all moving in roughly the same direction as the original quark. In the parlance of physics such a group of hadrons is commonly referred to as a "jet" of hadrons.