At CERN in Europe, its called the Large Hadron Collider (LHC) project. It and the largest one in the USA are the big guns of high energy physics.
http://www.science.doe.gov/hep/lhc.shtm
and an excellent overview about why higher energy colliders want to study Mass
http://www.globaltechnoscan.com/31jan-6feb/particle.htm
Related info:
Interaction and classicafion of standard particles
http://particleadventure.org/particleadventure/frameless/chart_cutouts/particle_chart.jpg
Theorised origin of Universe after big bang
http://particleadventure.org/particleadventure/frameless/chart_cutouts/universe_original.jpg
Interaction of particles
http://particleadventure.org/particleadventure/frameless/chart_cutouts/forces.jpg
Overview of the Language of High Energy Physics
http://www.fnal.gov/pub/ferminews/ahep.html
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From
http://www.globaltechnoscan.com/31jan-6feb/particle.htm
The most important enigma facing particle physicists today concerns mass. While the concept of mass may well appear so fundamental that it should be beyond question, particle physics has thrown up many puzzling questions about the nature of mass, questions which are not answered by the Standard Model. For instance, unlike the chemical elements, the fundamental particles in physics show no regularity in their masses. The tau lepton is some 17 times heavier than the muon, and 3491 times heavier than the electron. Other, similarly mysterious ratios are found among quarks, while neutrinos may even be massless. The Standard Model is unable to explain these masses, and a major task for particle physicists is to uncover the origin of mass. Is there some underlying reason why quarks and leptons have their particular masses? Why do these masses vary so much, and why do some particles have mass while others are massless?
The present 'answer' to these questions is provided by the subtle 'Higgs' mechanism which suggests that particles acquire mass by interacting with a force field, the Higgs field, which is everywhere present. The discovery of an associated particle or particles, the Higgs boson(s), would be evidence for this field. No sign of Higgs particles has yet been seen, but calculations based on the Standard Model suggest something has to show up when quark energies reach the TeV scale. This is exactly the energy range which the LHC has been designed to explore and whatever the Higgs mechanism is, the LHC will surely reveal it, opening up an entirely new era in our understanding of Nature.
Finding the solution to the mystery of mass is not the only discovery within the LHC's reach. Perhaps the most dramatic is a question which has been posed by cosmologists rather than particle physicists - "What does space contain?" Astronomical observations show that there is more matter in existence than has yet been seen. Shining objects such as the Earth, all of the planets and all of the stars only add up to about one tenth of existing matter. The other nine-tenths we call 'Dark Matter'. One explanation for Dark Matter envisages the existence of stable, as yet undiscovered, particles and the most recent results from LEP suggest that a new family of particles may exist at precisely the energy which the LHC will explore. The discovery of these new, 'supersymmetric' particles could explain what the vast majority of our Universe is made of.
Another fundamental question posed by cosmologists is "Why does the matter in the Universe exist?" At the time of the Big Bang, matter and antimatter should have been produced in identical amounts. The Universe should then have had a very short life, because these two different sorts of particles annihilate each other. Nonetheless, the Universe has survived as predominantly matter. In the 1960s, Soviet theorist Andrei Sakharov formulated an explanation for the dominance of matter over antimatter, based on a small asymmetry in the behaviour of matter and anti-matter particles. In 1973, Japanese theoreticians showed that a Universe made up of three families of quarks and leptons could satisfy Sakharov's requirements. The subsequent confirmation at CERN of the existence of exactly three matter particle families suggests that this theory may be the right approach to explaining the present state of the Universe. There is still an enormous amount of work to be done on this subject and the LHC will be the perfect tool to allow physicists to examine this asymmetry of matter and antimatter by detailed studies of the behaviour of the quark known as the beauty quark. This is the question which will be addressed by the LHCb detector.