INSTRUMENTATION & DETECTORS for HIGH ENERGY PHYSICS I 05-07.11.2014 Isabelle Wingerter-Seez (LAPP-CNRS) - AEPSHEP2014 - Puri (India) 1
WHAT IS A PARTICLE DETECTOR ? An apparatus able to detect the passage of a particle and/or localise it and/or measure its momentum or energy and/or identify its nature and/or measure its time of arrival ….. 05-07.11.2014 2
HOW ARE PARTICLES DETECTED ? In order to detect a particle it must interact with the material of the detector transfer energy in some recognisable way and leave a signal. Detection of particles happens via their energy loss in the material they traverse. 05-07.11.2014 3
FOUR STEPS 1. Particles interact with matter depends on particle and material 1 n o s s e L 2. Energy loss transfer to detectable signal depends on the material 2 n o s s e L 3. Signal collection depends on signal and type of detection 3 n o s s e L 4. BUILD a SYSTEM depends on physics, experimental conditions,…. 05-07.11.2014 4
ELEMENTARY PARTICLES and FORCES 05-07.11.2014 5
PARTICLES 05-07.11.2014 6
H, + the ones we have not yet observed 05-07.11.2014 7
KNOWN PARTICLES H, HOW CAN A PARTICLE DETECTOR DISTINGUISH THE PARTICLES WE KNOW MEASURE PROPERTIES of PHYSICS PROCESSES IDENTIFY THE EXISTENCE OF A NEW PARTICLE ? + the ones we have not yet observed 05-07.11.2014 8
LIMITED SIZE DETECTOR A m o n g t h e s e 1 8 0 l i s t e d particles, 27 have a long enough lifetime such that, for GeV energies, they travel more than one micrometer Among these 27, 14 have c. τ <0.5 mm and leave a very short track in the detector 05-07.11.2014 9
THE 13 PARTICLES A DETECTOR MUST BE ABLE TO MEASURE AND IDENTIFY 05-07.11.2014 10
EXAMPLES OF INTERACTIONS 05-07.11.2014 11
HEP & SI UNITS 05-07.11.2014 12
MEASURING PARTICLES 05-07.11.2014 13
INTERACTION CROSS-SECTION 05-07.11.2014 14
FERMI GOLDEN RULE 05-07.11.2014 15
CROSS-SECTION: ORDER OF MAGNITUDE 05-07.11.2014 16
PROTON-PROTON SCATTERING CROSS-SECTION 05-07.11.2014 17
CROSS-SECTIONS AT THE LHC TRIGGER ! 05-07.11.2014 18
ELECTROMAGNETIC INTERACTION PARTICLE - MATTER In case the particle’s velocity is Interaction with the atomic larger than the velocity of light nucleus. in the medium, the resulting EM The incoming particle is Interaction with the atomic shockwave manifests itself as deflected causing multiple electrons. Cherenkov radiation. When scattering of the particle in the The incoming particle loses the particle crosses the material. energy and the atoms are boundary between two media, During this scattering a exited or ionised . there is a probability of 1% to Bremsstrahlung photon can produce an Xray photon called be emitted Transition radiation. 05-07.11.2014 19
ENERGY LOSS BY IONISATION: BETHE-BLOCH FORMULA 05-07.11.2014 20
IONISATION & EXCITATION The relativistic form of the While the charged particle is transverse electric field does not passing another charged particle change the momentum transfer. the Coulomb force is acting, The transverse field is stronger, but resulting in momentum transfer. the time of action is shorter. 05-07.11.2014 21
IONISATION & EXCITATION The incoming particle transfers The transferred energy energy mainly/only to the atomic electrons. 05-07.11.2014 22
BETHE-BLOCH FORMULA - CLASSICAL DERIVATION 05-07.11.2014 23
BETHE-BLOCH FORMULA - CLASSICAL DERIVATION 05-07.11.2014 24
BETHE-BLOCH FORMULA 05-07.11.2014 25
ENERGY LOSS of PIONS in Cu 05-07.11.2014 26
UNDERSTANDING BETHE-BLOCH 05-07.11.2014 27
UNDERSTANDING BETHE-BLOCH 05-07.11.2014 28
CHARGED PARTICLE ENERGY LOSS in MATERIALS Dependance on target element Mass A Charge Z Minimum Ionisation -dE/dx ~ 1-2 MeV g -1 cm 2 e.g. for Pb with ρ =11.35 g/cm 3 : -dE/dx ~ 13 MeV/cm 05-07.11.2014 29
MATERIAL PROPERTIES 05-07.11.2014 30
05-07.11.2014 31
STOPPING POWER AT MINIMUM IONISATION 05-07.11.2014 32
dE/dX and PARTICLE IDENTIFICATION 05-07.11.2014 33
dE/dx FLUCTUATIONS 05-07.11.2014 34
dE/dx FLUCTUATIONS - LANDAU DISTRIBUTION 05-07.11.2014 35
MEAN PARTICLE RANGE 05-07.11.2014 36
ENERGY LOSS of ELECTRONS 05-07.11.2014 37
ELECTROMAGNETIC INTERACTION PARTICLE - MATTER In case the particle’s velocity is Interaction with the atomic larger than the velocity of light nucleus. in the medium, the resulting EM Interaction with the atomic The incoming particle is shockwave manifests itself as electrons. deflected causing multiple Cherenkov radiation. When The incoming particle loses scattering of the particle in the the particle crosses the energy and the atoms are material. boundary between two media, exited or ionised . During this scattering a there is a probability of 1% to Bremsstrahlung photon can produce an Xray photon called be emitted Transition radiation. 05-07.11.2014 38
BREMSSTRAHLUNG Real photon emission in the electromagnetic field of the atomic nucleus Electric field of the nucleus + of the electrons Z(Z+1) At large radius, electrons screen the nucleus ln(183Z -1/3 ) [D.F.] where y=k/E and For a given E, the average energy lost by radiation, dE, is obtained by integrating over y. 05-07.11.2014 39
BREMSSTRAHLUNG & RADIATION LENGTH 05-07.11.2014 40
RADIATION LENGTH The radiation length is a “universal” distance, very useful to describe electromagnetic showers (electrons & photons) X 0 is the distance after which the incident electron has radiated (1-1/e) 63% of its incident energy 3 0,37 E 0 dE/dx=E/X 0 dE/E=dx/X 0 E 0 2 E=E 0 e -x/X0 1 1X 0 PbWO 4 Air Eau Al LAr Fe Pb LAr/Pb Z - - 13 18 26 82 - - X 0 (cm) 30420 36 8,9 14 1,76 0.56 0.89 1.9 05-07.11.2014 41
RADIATION LENGTH Approximation (X 0 in cm: divide by ρ [g/cm 3 ]) Energy loss by radiation γ Absorption (e + e - pair creation) : 1/ X 0 = " w j / X j For compound material w j being the relative density 05-07.11.2014 42
CRITICAL ENERGY 05-07.11.2014 43
TOTAL ENERGY LOSS FOR ELECTRONS 05-07.11.2014 44
µ + in COPPER 05-07.11.2014 45
INTERACTION OF PHOTONS WITH MATTER 05-07.11.2014 46
PHOTO-ELECTRIC EFFECT 05-07.11.2014 47
PHOTO-ELECTRIC EFFECT 05-07.11.2014 48
PAIR PRODUCTION 05-07.11.2014 49
COMPTON SCATTERING Scattered photon Atomic e - E γ ’ = h ν ’ E e =m e c 2 p γ ’=h ν ’/c θ P e ~0 Incident Photon E γ = h ν φ p γ =h ν /c scattered e - E e ’= √ m e2 c 4 +p e ’ 2 c 2 P e ’=- p γ ’ QED cross-section for γ -e scattering σ compton ∼ Z . ln(E γ )/E γ Process dominant at E γ ≃ 100 keV - 5 GeV 05-07.11.2014 50
ANGULAR DISTRIBUTION 05-07.11.2014 51
INTERACTION OF PHOTONS WITH MATTER Mass absorption coefficient λ = 1/(µ/ ρ ) [g.cm 2 ] with µ= Ν Α . σ /A 05-07.11.2014 52
INTERACTION OF PHOTONS WITH MATTER 05-07.11.2014 53
ELECTROMAGNETIC INTERACTION PARTICLE - MATTER In case the particle’s velocity is Interaction with the atomic larger than the velocity of light nucleus. in the medium, the resulting Interaction with the atomic The incoming particle is EM shockwave manifests itself electrons. deflected causing multiple as Cherenkov radiation. The incoming particle loses scattering of the particle in the When the particle crosses the energy and the atoms are material. boundary between two media, exited or ionised . During this scattering a there is a probability of 1% to Bremsstrahlung photon can produce an Xray photon called be emitted Transition radiation. 05-07.11.2014 54
CERENKOV RADIATION Particles moving in a medium with speed larger than speed of light in that medium loose energy by emitting electromagnetic radiation Charged particles polarise the medium generating an electrical dipole varying with time Every point in the trajectory emits a spherical EM wave; waves constructively interfere 05-07.11.2014 55
CERENKOV RADIATION 05-07.11.2014 56
IDENTIFYING PARTICLES with CERENKOV RADIATION 05-07.11.2014 57
CERENKOV RADIATION: MOMENTUM DEPENDENCE m π = 0.1395 GeV m K = 0.4937 GeV m p = 1 .007 GeV 05-07.11.2014 58
COSMIC RAYS 05-07.11.2014 59
HESS EXPERIMENT 05-07.11.2014 60
Transition radiation Transition radiation occurs if a relativistic particle ( large γ ) passes the boundaries between two media with different refraction indices. Intensity of radiation is logarithmically proportional to γ 05-07.11.2014 61
IDENTIFYING PARTICLES WITH TRANSITION RADIATION 05-07.11.2014 62
ATLAS TRANSITION RADIATION TRACKER 05-07.11.2014 63
IDENTIFYING PARTICLES WITH TRANSITION RADIATION 05-07.11.2014 64
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