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the SCC (Superconducting Super Collider) was endorsed by the US. The SCC was eventually cancelled in 1993, while the LHC construction forged ahead regardless. The LHC is being built in a circular tunnel 27 km in circumference. The tunnel is buried around 50 to 175 m. underground. It straddles the Swiss and French borders on the outskirts of Geneva (see Figure 16). It planned to circulate the first beams in May 2008. First collisions at high energy are expected mid-2008 with the first results from the experiments soon after. The |
Figure 16 LHC |
Figure 17 LHC Layout |
LHC is designed to collide two counter rotating beams of protons or heavy ions. Proton-proton collisions are foreseen at an energy of 7 TeV per beam. |
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built in the 1970's (Figure 18). The beam is transferred from the SPS to the LHC in bunch pattern (packages). The designated luminosity of 1034 protons/sec-cm2 translates as 2808 bunches, each containing 1.15x1011 protons with a transverse beam size of 16x10-4cm, and bunch length of 7.5 cm. Since the injected beam already has sufficient |
Figure 18 LHC Beam |
Figure 19 Magnet [view large image] |
Figure 20 Beampipe |
energy to damage the LHC equipment, the stability of the whole complex is critical during the 8 minutes needed to fill the LHC completely. |
Detector | Name | Colliding Particle |
Energy | Experiment | Theory |
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ALICE (A Large Ion Collider Experiment) |
Lead | 2.8 Tev per nucleon | To study the physics of strongly interacting matter at extreme energy densities, where the formation of a new phase of matter, the quark-gluon plasma, is expected. | It is related to the key issues in QCD for the understanding of confinement and of chiral-symmetry restoration. |
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ATLAS (A large Toroidal LHC ApparatuS) |
Proton1 | 7 Tev / proton | The ATLAS detector will search for new discoveries (such as the Higgs2) in the head-on collisions of protons. | It will explore the fundamental nature of matter and the basic forces that shape our universe. |
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CMS3 (Compact Muon Solenoid) |
Proton | 7 Tev / proton | The CMS detector will search for new discoveries (such as the Higgs) in the head-on collisions of protons. | It will explore the fundamental nature of matter and the basic forces that shape our universe. |
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LHCb (Large Hadron Collider beauty) |
Proton | 7 Tev / proton | It undertakes precision studies of the decays of particles that contain heavy flavours of quarks (charm and beauty). | It will search for new particles beyond the Standard Model, and will cast more light on the subtle difference between matter and antimatter that is manifest in CP violation. |
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LHCf (Large Hadron Collider forward) |
Proton or Lead | 105 Tev in lab. frame4 | Measurement of ![]() |
To study ultra-high energy cosmic rays by the Simulation of an atmospheric shower due to a 107 Tev proton. |
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TOTEM (Total Cross Section, ... etc. at LHC) |
Proton | 7 Tev / proton | It is dedicated to the measurement of total cross section, elastic scattering and diffractive processes at the LHC. | Studying of QCD by the diffractive processes. |
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together are composite particles, and the collisions actually occur between constituent quarks and gluons, each carrying only a proportion of the total proton energy (the two Higgs bosons production modes are shown in Figure 21a). The centre-of-mass energy of these collisions can vary significantly, so they are not as well suited for high-precision experiments. The hadron colliders, however, offer tremendous potential for the discovery of as-yet unknown particles, because they admit the possibility of collision over a wider range and with higher energies than is otherwise possible. LHC performance envisages roughly 30 million proton-proton collisions |
Figure 21a Higgs Boson Production Modes [view large image] |
per second, spaced by intervals of 25 ns, with centre-of-mass collision energies of 14 Tev, which are 7 times larger than those of any previous accelerator. |
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secondary decay products which can be a pair of jets, or pairs of leptons, or pair of photons (via the annihilation of the quark antiquark pair) as shown in Figure 21b. Although there are 109 proton-proton interactions per second, it is estimated that less than 10 Higgs events will be produced per day. On March13 2009, the Fermilab announced that the Tevatron has failed to find Higgs particle in the 160 - 170 Gev range. It means the discovery would be more difficult (due to more debris particles) if the Higgs boson has mass at the lower end. Experimentalists |
Figure 21b Higgs Boson Decay Modes [view large image] |
have been working on the assumption that the Higgs boson lies somewhere between 114 and 175 GeV. In the lower mass range, the Higgs boson decays most probably into bottom quark and antibottom quark (Figure 21b). |
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On September 10, 2008 a lone beam of protons will complete the first lap around the LHC. It will take another two months before attempt to be made for proton beams collision. It will take years to analyse and verify (double check) the data. Thus, discovery of new particles could be years away. The short-term schedule is to use the initial data to calibrate the detectors. After the shut down at the end of 2008, it will be ready by March 2009 to pack even more protons into the beams and ramp them up to the maximum collision of 14 Tev. Figure 22 shows the tentative timeline for discovery in the bottom. The structure on top portrays the various devices for boosting up the velocity of the proton to 99.9999991% of the speed of light. |
Figure 22 Timeline [view large image] |
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fast enough, this led to an explosive burst of pressure that damaged neighboring sections of the machine. Engineers plan to address this problem by improving the pressure relief system, which includes increasing the number of valves. Meanwhile 53 of the 10,000 magnets used to guide the proton beam will be replaced or repaired. In order to provide enough lead-time for preventing similar incident, instruments will be installed to measure millivolt changes in the electrical bus — indicative of an impending failure — allowing enough lead time to divert the thousands of amps coursing through the machine's cables. Engineers are also looking at the possibility of detecting tiny increases in the temperature of liquid helium around the wire - another warning sign. It is estimated that the cost for repairs and modifications will amount to US$29 million. The decision now is whether to install this upgrade all round the LHC's 27-kilometer ring, or in stages. It will take about a year to upgrade the whole ring. It seems the quicker option is the only one on the table for now. Hopefully, it will be restarted in late July 2009 as announced on December 5, 2008. |
Figure 23 LHC, Problems with [view large image] |
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"excess events" have been observed in both CMS (Figure 24) and ATLAS within a mass range of 130 - 150 Gev - right in the middle of the prediction for the mass of the Higgs particle. But physicists familiar with the experiments urge caution. The new data are a long way from a discovery. The disappointment in the conference is prompted by no hint of new physics. LHC failed to find trace of any supersymmetry particles or additional dimensions. Physicists are now waiting for collection of more data and the results of the full energy (14 Tev) collisions to see if it could turn up something entirely new (in its 20-year lifetime). |
Figure 24 Particle Collision at CMS [view large image] |
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is likely to be at the lower mass end of the energy spectrum, perhaps between about 115 and 145 Gev. Those lower energy ranges will require more data to find a signal because it is harder to tell a true one from other particles that produce similar tracks. It may be possible to rule out the Higgs in some regions by the end of 2011, but confirmation of a discovery, which requires more data, will probably have to wait until the end of 2012. |
Figure 25 Higgs Searching [view large image] |
Figure 26 Finding Higgs |
Figure 26 shows the opinions of some theoretical physicists on the odds of finding the Higgs particle. The 5![]() |
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LHC Update 3 - The first sign of new physics at LHC showed up in the LHCf detector (Figure 27, and see Table 02) involving Do and anti-Do decay (into either a pion and anti-pion or kaon and anti-kaon). By comparing the decay products from Do and anti-Do, it is found that there is a difference of 0.8%. That disparity is 8 times predicted by the standard model, and could be explained by new theories including supersymmetry. The virtual super-partners could boost the asymmetry (of the matter/anti-matter process) to as much as 1%, enough to account for the LHCf measurements. |
Figure 27 LHCf Detector [view large image] |
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LHC Update 4 - The ATLAS and CMS teams announced on December 13, 2011 that they have narrowed down the Higgs mass to 125-126 Gev (3.6![]() ![]() |
Figure 28 Data from ATLAS and CMS [view large image] |
Figure 28 shows the number of events registered by the ATLAS and CMS detectors as function of Higgs mass. Followings are translations of jargons used by the experimentalists in LHC: |
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The standard model used to predict a Higgs mass in the order of 100 Gev. However, its extension - the Grand Unified Theory (GUT) - adds much heavier particles into the scheme. The Higgs mass becomes very heavy as the result of interacting with the heavy virtual particles from the GUT (Figure 30, a) in contradiction with the expected Higgs mass of about 125 Gev. This is known as the "hierarchy problem"¶. The theory of supersymmetry was introduced to address this problem as the virtual super-partners tend to restore the Higgs mass back to the hundred Gev range (Figure 30, b). Other more exotic ideas such as "technicolor" (involving new force) and "extra-dimension" (involving additional |
Figure 30 Beyond Standard Model [view large image] |
dimension) were also proposed to resolve the problem (Figure 30, c and d, also see another version of the "(Warped) 5-D Theory"). It is believed that such theories can be tweaked to produce a theoretical Higgs mass compatible with observation. |
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LHC Update 5 - According to a blog in Nature, both the ATLAS and CMS teams submitted the results of their latest analyses on February 2012. By taking into account another possible kind of Higgs decay, the CMS graph boosts the deviation to 3.1![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Figure 31 Data for H |
See the LHC Home page for more details, and a brief review of "Scattering Cross Section and Decay Width". |
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LHC Update 6 (march 7, 2012) - This update is actually not from LHC. It comes from the now defunct Tevatron at Fermilab in Batavia, Illinois - the last hooray from the once great US particle collider. The final analyse of data collected over the years (starting from 2002 to September 2011 when the machine was shut down) reveals an excess of events by Higgs with a mass between 116 and 127 Gev (Figure 32). The excess had a statistical significance of 2.6 sigma. Meaning there is about a 0.5% probability that the result is due to chance. At Tevatron's 2 Tev colliding energy, the Higgs decay mainly into a bottom and antibottom quark, whereas the LHC is sensitive to the production of two photons and other decay modes. |
Figure 32 Data from Tevatron [view large image] |
Such difference makes the results from the two machines complementary. Some physicists lament that the Tevatron may be able to find the Higgs if the funding is not cut by the US Department of Energy. |
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The level of significance is 5 sigma, which merits the status of scientific discovery. The complete analysis is expected to be published around the end of July. Then it could be sure that the particle has spin 0 and whether super-symmetry is required to explain the result. Right now many physicists are pinning their hope for a new theory on the abnormal rate of decay in some decay modes (see Figure 35, which also shows the % probability of the decay mode and a flowchart for future development). |
Figure 33 Peter Higgs |
Figure 34 Bump of Destiny |
Figure 35 Beyond Standard Model [view large image] |
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LHC Update 9 (March, 2012) - LHC has published a report about the search for SUSY particles - the supersymmetric partners of the normal particles. Analysis of the data indicates that the searches have failed so far. The details are summarized in a table (Figure 36). The blue bars represent the lower mass limit (in Gev or Tev) for the partners according to different theoretical models, which produce various primary (and secondary) decay products shown on the left of the graph (SS = same sign, OS = opposite sign, j = jet) with a sample illustration on the right side. The ET,miss term denotes the missing transverse energy to the stable lightest SUSY particle (LSP). The acronyms for the various theoretical models are briefly explained below : |
Figure 36 Search for SUSY [view large image] |
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LHC Update 10 (November, 2012) - The CMS and ATLAS teams presented more data at a symposium held in Kyoto, Japan. Figure 37 shows the results from both teams. The ratio of observation to expectation (on the SM) is denoted by ![]() ![]() ![]() |
Figure 37 LHC Update 10 |
Figure 38 |
boson does not agree with SM prediction. The diagram shows that most channels decay as expected (within the error bar) except the 2 photons channel. |
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The LHCb team (see Table 02) announced in the same occasion that it has failed to detect any sign for supersymmetry. They measured the extremely rare process in which a Bs meson decays into a muon-antimuon pair. According to the theory of supersymmetry, the rate could increases by a factor of about 100. But the result agrees with the prediction of the Standard Model (about once for every 300 million Bs meson decays) - another un-favorable omen for SUSY. As LHC will continue to smash protons until 17 December 2012 (see down-time works). |
Figure 39 LHCb Search for SUSY [view large image] |
There will be another chance in March 2013 to provide more news on its fate. |
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Figure 40 A Blip at 750 Gev |
Anyway LHC will start taking more data in April, 2016. The bump should disappear in the summer if it is just a statistical fluke. |
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Figure 41 LHC 3rd Run |