16 CHAPTER 2: The <strong>CMS</strong> <strong>experiment</strong> at <strong>the</strong> LHCrotat<strong>in</strong>g particle when mov<strong>in</strong>g around a circle <strong>of</strong> radius R, is synchrotron radiationwhich is expressed as∆E ∝ 1 ( E) 4,R mwhere E is <strong>the</strong> particle energy and m is <strong>the</strong> particle mass. Therefore, it is obvious tha<strong>the</strong>avier particles loose a smaller amount <strong>of</strong> energy compared to less heavier particles.As <strong>the</strong> bend<strong>in</strong>g radius was already fixed by choos<strong>in</strong>g <strong>the</strong> same tunnel as LEP, us<strong>in</strong>gprotons <strong>in</strong>stead <strong>of</strong> electrons would yield to obta<strong>in</strong> a more stable beam <strong>of</strong> rotat<strong>in</strong>gparticles and consume less power.Despite <strong>of</strong> provid<strong>in</strong>g beams <strong>of</strong> particles with less energy loss per turn, proton-protoncolliders have <strong>the</strong>ir own problems as well. S<strong>in</strong>ce protons are composite particles, <strong>the</strong>nto achieve physics goals up to an energy scale <strong>of</strong> s 1 , <strong>the</strong> collider needs to provide acenter <strong>of</strong> mass energy <strong>of</strong> s 2 which must be higher, hence s 2 ≫ s 1 . This is due to that<strong>the</strong> proton constituents carry a fraction <strong>of</strong> <strong>the</strong> energy <strong>of</strong> <strong>the</strong> proton and <strong>the</strong> <strong>in</strong>teractiontakes place between <strong>the</strong>se constituents. The decision <strong>of</strong> operat<strong>in</strong>g <strong>the</strong> LHC at a center<strong>of</strong> mass energy <strong>of</strong> a few TeV is to make it possible to scan <strong>the</strong> energy scale <strong>of</strong> physics<strong>in</strong>teractions up to 1 TeV scale. S<strong>in</strong>ce one <strong>of</strong> <strong>the</strong> ma<strong>in</strong> goals <strong>of</strong> <strong>the</strong> construction <strong>of</strong> <strong>the</strong>LHC is to search for <strong>the</strong> Standard Model Higgs boson, <strong>the</strong> <strong>the</strong>ory implies an upperlimit on <strong>the</strong> mass <strong>of</strong> <strong>the</strong> Higgs boson to be less than one TeV. Hence a hadron colliderwith a center <strong>of</strong> mass energy <strong>of</strong> a few TeV would allow to discover that miss<strong>in</strong>g piece,if it exists.Prior to <strong>the</strong>ir path <strong>in</strong> <strong>the</strong> LHC, <strong>the</strong> proton beams go through <strong>the</strong> CERN pre-acceleratormach<strong>in</strong>es which are expla<strong>in</strong>ed <strong>in</strong> Section 2.1.1. The LHC has various detectors, each<strong>of</strong> which is specialized for particular physics purposes that are discussed briefly <strong>in</strong>Section 2.1.2.2.1.1 The Proton Accelerator Cha<strong>in</strong>Before be<strong>in</strong>g <strong>in</strong>jected <strong>in</strong>to <strong>the</strong> LHC, protons are pre-accelerated through <strong>the</strong> CERNaccelerator complex [33] depicted <strong>in</strong> Figure 2.1.The current acceleration facilities have served for decades when provid<strong>in</strong>g beams <strong>of</strong>electrons and positrons to <strong>the</strong> LEP collider. For <strong>the</strong> LHC operation, <strong>the</strong>y have beenupgraded to provide beams <strong>of</strong> protons for collisions at unprecedent energies.A duoplasmatron, where emitted electrons from a cathode filament ionize <strong>the</strong> hydrogengas, provides <strong>the</strong> source <strong>of</strong> protons for <strong>the</strong> LHC. The produced protons are <strong>the</strong>ntransfered to <strong>the</strong> first stage <strong>of</strong> <strong>the</strong> accelerator cha<strong>in</strong>, <strong>the</strong> l<strong>in</strong>ear accelerator called L<strong>in</strong>ac,which is based on radio frequency technology. In a L<strong>in</strong>ac mach<strong>in</strong>e, <strong>the</strong> accelerationoccurs by oscillat<strong>in</strong>g an electric field with an appropriate frequency. Due to this reason,particles traverse through <strong>the</strong> accelerator discont<strong>in</strong>uously while mak<strong>in</strong>g so-calledbunches, each <strong>of</strong> which consists <strong>of</strong> thousands <strong>of</strong> particles. When leav<strong>in</strong>g <strong>the</strong> L<strong>in</strong>ac, <strong>the</strong>protons reach an energy <strong>of</strong> 50 MeV.Energetic protons are fed to a booster prior to be <strong>in</strong>jected <strong>in</strong>to <strong>the</strong> Proton Synchrotron(PS) for fur<strong>the</strong>r acceleration. The booster, which is <strong>the</strong> first circular accelerator <strong>in</strong> <strong>the</strong>acceleration cha<strong>in</strong>, enhances <strong>the</strong> energy <strong>of</strong> <strong>the</strong> protons to 1.4 GeV. Subsequently, <strong>the</strong>protons are more accelerated while circulat<strong>in</strong>g <strong>in</strong> <strong>the</strong> 630 m circumference <strong>of</strong> <strong>the</strong> PS r<strong>in</strong>g
CHAPTER 2: The <strong>CMS</strong> <strong>experiment</strong> at <strong>the</strong> LHC 17Figure 2.1: The CERN accelerator complex compris<strong>in</strong>g <strong>the</strong> full particle acceleratorcha<strong>in</strong>. Start<strong>in</strong>g on <strong>the</strong> left hand side, protons are accelerated while mov<strong>in</strong>g through <strong>the</strong>l<strong>in</strong>ear accelerator (L<strong>in</strong>ac), <strong>the</strong> booster, <strong>the</strong> Proton Synchrotron (PS), and <strong>the</strong> SuperProton Synchrotron (SPS). F<strong>in</strong>ally, <strong>the</strong> protons are <strong>in</strong>jected <strong>in</strong>to <strong>the</strong> Large HadronCollider to reach <strong>the</strong> desired energy.to reach an energy <strong>of</strong> 26 GeV, and are <strong>the</strong>n fed to <strong>the</strong> Super Proton Synchrotron (SPS).The SPS, which is <strong>the</strong> f<strong>in</strong>al stage <strong>in</strong> <strong>the</strong> succession <strong>of</strong> <strong>the</strong> pre-accelerator complex, providesprotons with an energy <strong>of</strong> 450 GeV and <strong>in</strong>ject <strong>the</strong>m <strong>in</strong>to <strong>the</strong> LHC mach<strong>in</strong>e forf<strong>in</strong>al acceleration and subsequently collisions.The proton beams f<strong>in</strong>ally enter <strong>the</strong> LHC tunnel which conta<strong>in</strong>s two beam pipes. The<strong>in</strong>jected beams <strong>of</strong> particles move <strong>in</strong>side <strong>the</strong> pipes <strong>in</strong> opposite directions and cross eacho<strong>the</strong>r at four po<strong>in</strong>ts <strong>of</strong> <strong>the</strong> r<strong>in</strong>g, where <strong>the</strong> detectors are located. The beams are guidedto travel on a circular path with <strong>the</strong> use <strong>of</strong> a strong magnetic field, which is obta<strong>in</strong>ed us<strong>in</strong>gsuperconduct<strong>in</strong>g electromagnets. Each superconduct<strong>in</strong>g electromagnet, made fromcoils <strong>of</strong> superconduct<strong>in</strong>g wire, has a length <strong>of</strong> about 15 m and a weight <strong>of</strong> around 27tonnes. To be operational, <strong>the</strong> temperature must be lowered to values <strong>of</strong> <strong>the</strong> order <strong>of</strong>a few Kelv<strong>in</strong>. The dipole magnets could provide a magnetic field <strong>of</strong> about 8.3 T whichkeeps <strong>the</strong> beams to move around <strong>the</strong> r<strong>in</strong>g with a designed energy <strong>of</strong> about 7 TeV perbeam.While more than 1200 dipole magnets are used to make <strong>the</strong> proton beams circulated,an additional 400 quadrupole magnets are used <strong>in</strong> order to make <strong>the</strong> proton beamsfocused. It is important to have very narrow beams when <strong>the</strong>y are cross<strong>in</strong>g, as it <strong>in</strong>creasesan important parameter <strong>of</strong> <strong>the</strong> mach<strong>in</strong>e, which is called <strong>the</strong> lum<strong>in</strong>osity L anddef<strong>in</strong>ed as [34]L = f N AN B4πσ x σ y,where σ x and σ y represent <strong>the</strong> beam pr<strong>of</strong>iles <strong>in</strong> horizontal and vertical directions at<strong>the</strong> <strong>in</strong>teraction po<strong>in</strong>ts. Also, N A and N B are <strong>the</strong> number <strong>of</strong> particles per bunch <strong>in</strong> <strong>the</strong>beams <strong>of</strong> type A and B, respectively. The f parameter is <strong>the</strong> frequency <strong>of</strong> cross<strong>in</strong>g <strong>of</strong><strong>the</strong> bunches <strong>of</strong> <strong>the</strong> two beams. It is obvious that an <strong>in</strong>creased number <strong>of</strong> particles perbunch or more focused beams would result <strong>in</strong>to a larger lum<strong>in</strong>osity.