Presentation on theme: "Putting it all together - Particle Detectors"— Presentation transcript:
1Putting it all together - Particle Detectors Writeup for 3rd section:
2Measurements Non-Destructive Destructive Particle only minimally perturbedGenerally involves electrically charged particles depositing energy through many soft scattersAim for low mass detectorDestructiveInitial particle absorbed or significantly scatteredDetection generally by energy deposited by charged particles producedCan detect neutral particles
3Types of Measurement Position Timing Velocity Energy (tracking) Time of flightEvent separationVelocityCerenkov/Transition radiationEnergyTotal energydE/dx
4Position measurementAll detectors give some indication of particle position( even if it is only that the particle passed through the detector )Most detectors have better resolution in one (or two) directions than the other two (or three).Hodoscope ~ cm (2D)Silicon strip detector ~5mm (1D)Silicon pixel detector ~5mm (2D)Photographic emulsion ~1mm (3D)
5Position Measurement - Tracking Measuring two (or more) points along the path of a particle allows its direction as well as is position to be measured.Measuring a number of points along the path of a particle allows any curvature to be measured. Radius of curvature in a magnetic field gives the momentum
6Position Measurement – Tracking Pattern recognition can be tricky….
7Timing MeasurementThe time at which a particle passed through a detector can be measured to better than 1ns (10-9s)Scintillator tends to be good ( 100ps )Can measure velocity of particle“time-of-flight” (ToF ) from interaction to detector.Measuring b and p or E gives particle mass ( E=bm, p=bgm) and hence (usually) identityToF only useful for fairly low energy particles ( “slightly relativistic” ) since highly relativistic particles all have b=1 within the bounds of error.
8Timing Measurement Distinguish particles from different “events” The interval between interactions generating the particles being measured is is often short. Need good timing resolution to separate tracks from different events.Measure start time for drift chambers.… and other devices that rely on measuring signal propagation times.
11Timing Measurement – Particle ID Hermes experiment uses TOF as one means of particle identification.Bunches of electrons hit fixed target.Measure time between collision and particles reaching scintillation detectors.m2 = (1/2 – 1) p2
12Dead TimeMost detectors take a finite time to produce a signal and recover before they can detect another. This is the dead-timeDead time varies with detector e.g. Si-strip detector ~ ns , Geiger-Muller tube ~ msIf the dead-time is Td and particles arrive at a mean rate of r per unit-time then probability that the detector is “dead” is ~ rTdI.e. efficiency is e = e0(1 – rTd )
13Timing CoincidenceWhere a detector has a high background it is common to use two or more detectors in coincidenceOutput from combined detector only if all parts detect a particle. ( or 3 of 4, ….. etc.)If two detectors have a background rate of B1, B2 and a signal is produced if both detectors “fire” within the coincidence time, Dt then the background rate from the combined detector is B = B1 B2 Dt
14Rate of energy loss – dE/dx Total energy - Calorimetry Energy MeasurementRate of energy loss – dE/dxTotal energy - Calorimetry
15Energy Measurement – dE/dx Measure the rate of energy loss of a charged particle through detector by ionization - dE/dxdE/dx Depends on bg( particles with same bg but different masses give ~ same dE/dx )Measuring bg and one of E,p, gives particle mass.
16dE/dx Data Data from gaseous track detector. dE/dx (keV/cm)Data from gaseous track detector.Each point from a single particleSeveral energy loss samples for each point“Averaged” to get energy lossFluctuations easily seenpKpemp (GeV/c)
17Energy Measurement – Calorimetry Measure total energy of a particle by stopping the particle in a medium and arranging for the energy to produce a detectable signal. This process is called calorimetryDetector needs to be thick enough to stop the particleCan measure energy of neutral particles using calorimetry
18Energy Measurement – Regions of Applicability Particle EnergyMomentum by tracking (charged particles)CalorimetrykeV - MeVTrack length too short to measure curvatureAbsorb energy of initial particle100’s MeVGood measurement of curvatureFractional error large due to fluctuation in Particle showers100’s GeVTrack too straight even with high B field and long pathFractional error small
19Measuring VelocityUse a process such as Cerenkov radiation or transition radiation where the threshold/intensity of the radiation depends on the velocity of the particleCerenkov radiation: angle and intensity are functions of bTransition radiation: intensity is a function of g (useful for highly relativistic particles)dE/dx by ionization ( already mentioned)
20Sources of measurement error Fluctuations of underlying physical processes“Statistical” fluctuations of numbers of quanta or interactionsVariation in the gain processNoise from electronics etc.
22Fluctuation in dE/dx by Ionization Up to now we have discussed the mean energy lost by a charged particle due to ionization.The actual energy lost by a particular particle will not in general be the same as the mean.dE/dx due to a large number of random interactionsDistribution is not Gaussian.
23Fluctuation in dE/dx by Ionization Distribution of dE/dx usually called the “Landau Distribution”
24Fluctuation in dE/dx – Gaussian Peak Most interactions involve little energy exchange and there are many of them.The total energy loss from these interactions is a Gaussian (central limit theorem)
25Fluctuation in dE/dx – Gaussian Peak For a Gaussian distribution resulting from N random events the ratio of the width/mean 1/NIncreasing the thickness of the detector decreases the relative width of the Gaussian peak:(from Bethe)
26Fluctuation in dE/dx – High Energy Tail The probability of a interaction that involves a significant fraction of the particles energy is low. However such interactions produce a large signal in the medium.
27Fluctuation in dE/dx – High Energy Tail Energy loss is in the form of “d-rays” – scattered electrons with appreciable energy.Energy deposited in a thin detector can be different from the energy lost by the particle – the d-electron can have enough energy to leave the detector.Depending on the thickness of the detector there may not be any d-electrons produced.
28dE/dx – High Energy Tail Because of the high energy tail increasing the thickness of the detector does not improve the dE/dx resolution much.Relative width of Gaussian peak reduces, so would expect to get better estimate of mean dE/dx, but….Probability of high energy interaction rises, so tail gets bigger.Usual method of measuring dE/dx is to take several samples and fit distribution (or just discard values far from Gaussian peak)
29Multiple ScatteringDeflection of a charged particle by large numbers of small angle scatters.
30Multiple Scattering Looking at dE/dx from ionization, ignore nuclei. Energy transfer small compared to scattering from (lighter) electrons.However, scattering from nuclei does change the direction of the particles momentum, if not its magnitude.Deflection of particle’s path limits the accuracy with which the curvature in a magnetic field can be determined, and hence the momentum measured.
31“Single Scattering” Deflections are in random directions “Drunkards Walk”Total deflection from N collisions NThe angular deflection caused by a single collision is well modelled by the Rutherford Scattering formula:ds/dW 1/q ds/dq 1/q3Most probable scatter is at small angle
32Multiple Scattering RMS angular deflection, projected onto some plane: RMS deflection xLength scale is the radiation length X0
33Multiple Scattering – Probability Distribution Small scattering angles - many small scatters. GaussianLarge scattering angles from single large scatters. Probability 1/q3
34Quantum FluctuationsA signal consists of a finite number of quanta (electrons, photons,….)If at some stage in detection chain the number of quanta drops to N then the relative fluctuation in the signal will be:NB. Any subsequent amplification of the signal will not reduce this relative fluctuation
35Quantum Fluctuations – Poisson Distribution If the number of quanta is small then the probability of producing m quanta when the average is n is:Probability of producing no signal:Efficiency of detector reduced by (1- e-n)
36Quantum Fluctuations – Fano Factor If the energy deposited by a particle is distributed between many different modes, only a small fraction of which give a detectable signal then the Poisson distribution is applicable.E.g. scintillation detector: small fraction of deposited energy goes into photons. Only few photons reach light detector.
37Quantum Fluctuations: Fano Factor If most of deposited energy goes into the signal then Poisson statistics are not applicable.E.g. Silicon detector – energy can either cause an electron-hole pair (signal detection and most likely process) or phonons.In this case the fractional standard deviation:F is the “Fano factor” (F ~ 0.12 for Si detector)
38Electronic NoiseMost modern detectors produce and electrical signal, which is then recorded.Electronic circuits produce noise – with careful design this can be minimized.Consider different sources of intrinsic noise:Johnson noiseShot noiseExcess noise.
39Johnson NoiseAppears across and resistor due to random thermal motion of charge carriers.k : Boltzmanns constantT : Temperature above absolute zeroB : Bandwidth ( range of frequency considered)White noise spectrum (same noise power per root Hz at all frequencies)
40Shot NoiseFluctuation in the density of charge carriers ( “rain on a tin roof” )White noise spectrum
41Excess Noise Anything other than Johnson and shot noise. Depends on details of electronic devices (e.g. transistors)Often has a 1/f spectrum ( same power per decade of frequency )
43Noise: Dependence on Amplifier Capacitance. The input resistance and capacitance of a detector “front end” form a low-pass filter which filters the Johnson noise from the input resistance:
44Noise: Dependence on Amplifier Capacitance. “Filtered” noise:Noise spectrum :Integrate over all frequencies to get total noise energy:
45Noise: Dependence on Amplifier Capacitance. Amplifier noise often expressed in terms of the number of electrons, DN, that would generate the same output.Q = CV = e DNHence:Johnson noise increases with the input capacitance of the pre-amplifier.
46Overall Statistical Error Depends on detector and the quantity measured, but…For quantity like dE/dx which is estimated from the signal size:S = A ES=measured signalE=primary signal , A=amplification
47Overall Statistical Error First term is fluctuation in production of interaction process ( e.g. Landau distribution of –dE/dx).
48Overall Statistical Error Signal is made up of a number of quanta ( electrons, photons, ions, … ).Second terms comes from the fluctuation in the number of quanta, ns , ( F is the Fano factor).
49Overall Statistical Error In general, not all the quanta in the signal are collected – there is a “statistical bottle-neck” where the number of quanta, nh , is a minimum.The contribution to the error due from this bottleneck is approximated by the third term:.
50Overall Statistical Error Many detectors have an amplification stage (e.g. drift chambers have gain due to avalanche near the anode wire)The gain process will have some fluctuation, represented by the fourth termEach quanta produces on average A quanta after amplification..
51Overall Statistical Error There is a contribution to the uncertainty in the signal from the noise in the readout electronics. The noise tends to have the same amplitude regardless of the size of the signal, so contributes to ss/S like D/SDescribed by the fifth term..
52Energy Measurement Fluctuations As already remarked:Precision of momentum measurement (tracking) deteriorates at large momentumEnergy measurement precision (calorimeter) generally improves as energy increases.Response of PbWO4 caloto 120GeV e-
53Energy Measurement fluctuations Statistical fluctuations (n.quanta)1/2Contributions from noise ~ constant“systematics” signal(Fluctuations much smaller for EM than hadronic showers)
55The “General Purpose” Detector Often a detector has to cope with many different types of particle of many different energies. Construct a system of detectors allowing measurement of different aspects of different particles.
56The “General Purpose” Detector Typically a general purpose detector will have three main parts:Tracking (charged particles, magnetic field)Calorimeter (electrons, photons, hadrons)Muon tracking (generally only muons get this far)
57General Purpose Detector: Photons Tracking - will generally cross the tracking detector without leaving a signal.Desirable – don’t want to scatter the photon or convert to charged particles. minimize material.But, some will pair convert.Calorimeter -will produce an EM shower.Length scale X0.Contained in EM portion of calo.Muon tracking – won’t reach
58General Purpose Detector: Electrons Tracking – will leave a trail of ionization.Measure curvature to measure momentum.Some will undergo Bremsstrahlung.Calorimeter -will produce an EM shower.Same as for photons.Muon tracking – won’t reach
59General Purpose Detector: Hadrons Tracking – charged hadrons will leave a trail of ionization.Calorimeter -will produce an hadronic shower.Length scale l0Energy in both EM and hadronic parts of calo.Muon tracking – won’t reach
60General Purpose Detector: Muons Tracking –will leave a trail of ionization.Bremsstrahlung not a problem.Calorimeter – X0 for muons so long that no shower takes place.Still deposits energy by ionization.Muon tracking – crosses, leaving track of ionization
61General Purpose Detector: Tau, B-mesons, D-mesons Tracking – Decay close to interaction point. If daughters are charged may be able to reconstruct decay vertex.Calorimeter, Muon tracking- primary particle never reaches, but daughters may.
68ZEUS “ Compensating Calorimeter” Response to hadrons and electrons of equal energy is not the same ( for hadrons energy lost in nuclear binding energy and nuclear fragments
69Compensating Calorimeter Can produce e/h ~ 1 by making absorber out of Uranium – hadronic shower induces fission, and emission of gamma-rays which deposit energy “compensating” for loss in binding energy etc. ( ZEUS calo)Can also compensate by having fine- grained calorimeter, and trying to separate out EM and hadronic parts of shower ( e.g. H1 liquid argon calo )
71Scintillation detectors Produce visible lightTransport to a light detectorTotal internal reflectionWavelength shifting fibres.Convert to an electrical signalScintlaorPeTotal Internal ReflectionLghudLight Detector
72Total Internal Reflection A ray of light is incident on a boundary between two refractive indices is deflected.If the angle of incidence, qi , is greater than the “critical angle” , qc , the light is totally internally reflected.Sin(qc) = n2/n1
73Total Internal Reflection – Fraction of Light Trapped Estimate the fraction of light trapped by TIR by integrating over the solid angleE.g. light trapped in a scintillating fibre:
75Light DetectorsTypically only get a few photons at light detector due to passage of particle Need a detector sensitive at the single-photon level.Photomultiplier tubeAvalanche photo-diodeHybrid photodiode
76Photomultiplier TubeLight falls on a photocathode in an evacuated tube and electrons emitted (photoelectric effect)Quantum Efficiency depends on cathode material and wavelength ( QE ~ 25% )Photoelectrons focused and accelerated towards the first dynode by electric field.
77Photomultiplier TubeWhen photoelectron strikes dynode several electrons emitted (on average) n ~ 5Several dynodes ( ~ 10 ) give high gain ( 107)PMT sensitive to magnetic field – need screening in many applications
78PhotodiodeIf a photon falls on a semiconductor an electron/hole pair can be created if the photon energy is greater than the band-gap photodiode.
79Avalanche PhotodiodeLight output from scintillator normally too low to allow the use of photodiodesNo gain output signal lost in noise of readout.Increase bias to a point where electrons/holes collide with lattice with sufficient energy to generate new electron/hole pairs avalanche photodiode (APD)
80Avalanche PhotodiodeGain ~ 100 in linear mode ( can be operated in “Geiger Muller” mode)CompactLow sensitivity to magnetic field
81Hybrid PhotodiodeLike photomultiplier tube, has a photocathode in an evacuated envelopePhotoelectrons accelerated towards a reverse- biased solid-state diode ( e.g Si)
82Hybrid PhotodiodeWhen accelerated photoelectron hits diode ( ~ kV ) it liberates several electron-hole pairs.Energy for one electron-hole pair in Si ~ 3.6eVGain ~ 1000Can also use avalanche photodiode to get extra gainLess sensitive to magnetic field than PMTCan have bigger light sensitive area than APDCan divide diode in to “pixels” to get position of photons
83Hybrid Photodiode Used in e.g. readout of CMS HCAL Wavelength shifting fibres used to couple light from scintillating sheets.
85Scintillating Materials Emit light when excited by passage of charged particleTo be useful should be transparent to the light they produce.Two types ( more or less ):Organic (work at molecular level)Inorganic (work at crystal level)
86Organic Scintillators Scintillation is a property of the individual organic molecules:Cartoon of molecular energy levels
87Organic Scintillators-Light Emission Passage of charged particle excites molecule.Can decay radiatively with photon energy , Eemission = EB1 – EB0B0 rapidly decays to A0 by exchanging vibrational quanta with surroundings
88Organic Scintillators-Light Absoption Scintillator will absorb light – molecule state A0A1 ( atomic spacing doesn’t have time to change )Photon energy Eabsorption = EA1 – EA0Eabsorption> EemissionEmission and absorption spectra not the same. Scintillator transparent to the light it produces (but usually put in a wavelength-shifter to move out of UV)Bicron BCF-91APlastic wavelength shifter
89Organic ScintillatorPlastic common. E.g. polystyrene doped with fluorescent molecules which shift the emission from UV to visible.Can be in solid or liquid form.Atomic number, Z, low. Density low.Good or bad, depending on applicationFraction of energy converted to light is lower than for inorganic scintillators~ 10 photons per keV deposited ( ~ 1% of energy deposited, or about 10,000 photons/cm for MIP)
90Inorganic Scintillators Depend on properties of crystal.Interaction of atoms in lattice broaden energy levels of individual atoms into bands.In an insulator, valence band is full , conduction band is empty.Electrons “locked into position”, (no available energy states)If promoted to conduction band, electrons are free to moveValenceConductionImpurity levels
91Inorganic Scintillators If promoted to conduction band electrons will move through lattice until trapped by an impurity/defect in the lattice or a deliberately introduced dopant
92Inorganic Scintillators For some traps, the electron decays by emitting a photon (scintillaton)Electron decays from some traps without emitting light (quenching)Efficiency ( ~ 10% ) higher than for organic scintillators.Often high Z (low X0) – good for x-ray detectionMore expensive than organic.
93Silicon diodes. Gas ionization chambers. Position DetectorsSilicon diodes.Gas ionization chambers.
94Semiconductor Detectors High ionisation density in solids – particularly semiconductors due to small band gapSmall excitation energy large thermal backgroundp-n junction gives depletion region with few free charge carriers+-
95Semiconductor detectors Diffusion of holes from p-type into n-typeDiffusion of electrons from n- type into p-typeResults in charge separation.
96Semiconductor detectors Charge separation causes electric field which opposes further diffusion ( and sweeps free charge out of depletion layer)
97Semiconductor Detectors Depletion region widened by reverse bias voltage.Thickness ~ 100’s mmIonisation in depletion layer collected on strips.In a 300 mm depletion layer will give ~ electron-hole pairs for a MIPCan “mass produce” pre-amplifiers with noise ~ 1000 electron-equivalent.
98Semiconductor – Pulse Shape View junction as a parallel plate capacitor.As ionization charge moves within depletion region, charge flows into the “plates” of the capacitor to maintain constant voltage.If charge, e, moves by distance dx then the charge dQ flows into the diode:Pulse shape determined by drift of charges in junction.
99High Precision Silicon Vertex Detectors This matrix of silicon microstrip detectors was at the heart of the ALEPH detector at LEP
100Tracking With Precision Vertex Detectors 1 cmevent observed in the Delphi Vertex detector
101Tracking With Precision Vertex Detectors 1 cmevent observed in the SLD detector
102Movement of charges in gases At modest E fields, electrons and positive ions drift at constant velocityCareful choice of gas to avoid absorbing electrons.If B field is present, drift is at an angle to the lines of E (Lorentz angle)Can use time for electrons to arrive at anode to get distance of track from wire.If electrons gain enough energy between collisions (ie. In one mean free path) multiplication of electron/ion pairs results ( needs large E )
103Movement of charges in gases Behaviour of electrons and ions in gas depends on details of gas mixture and electric (and magnetic) fieldDrift velocity, Lorentz velocity, gainIons, being much heavier than electrons, have slower drift velocity and do not give amplification.Like, Si detectors, velocity of charges determines pulse shape.Fast part from electrons, slow “tail” from ions
104Gas ionisation detectors Thin (20–30m diameter) anode wires provide gain, due to electron avalanche in high field region near the wire ( E 1/r )Many variantsGeiger counterMulti-wire proportional chamber MWPCDrift chamberTime Projection Chamber TPCMicroStrip Gas Chamber MSGC
105Liquid Ionization Detectors Usually liquid noble gas – eg. Argon.No gain ( mean free path short, so electrons don’t get enough energy to cause further ionization)Use in calorimeters ( e.g. H1 , Atlas )Don’t care about multiple scatteringHigh density many electron/ion pairsNo gain less danger of signal saturation
106Cerenkov counters for particle identification Reminder: Cerenkov angle and intensity depend on particle velocity and refractive index of the mediumIf momentum is known, measurements of give b and hence particle mass and typeCerenkov detectors used for p/K separation at medium or high energies
107Cerenkov detectorsCerenkov counters consist of radiator medium plus a photon detectorUse of liquid, gas or aerogel radiators gives a range of refractive indexPhoton detectors usually either PM tubes or doped gas ionisation detectorDifferent detector layouts:Threshold CerenkovDifferential CerenkovRing-imaging Cerenkov (RICH)Very large liquid filled detectors used for neutrino detection
108Aerogel Silica based “foam”. Tune refractive index by fraction of air ( ~ 99.8% air)
109Super-K: Large Water Cerenkov detector for neutrinos
110Threshold CerenkovAll charged particle above b threshold will give a signal.Adjust threshold by adjusting refractive indexGas for high threshold (has low , adjust with pressure)Liquid for low threshold (high )
111Differential Cerenkov Use circular annular collimator slit – only accepts light at a range of anglesOnly get signal if particle in right b range.Only works if particles on-axisUseful for “tagging” particles in a low intensity beam,
113The DELPHI DetectorDELPHI at LEP features extensive particle identification capability from its TPC and RICH counters
114Conclusion: AimsTo introduce the interactions of fast particles and high-energy photons in materials, particularly those types of interaction which are important for particle detection and measurement.
115Conclusion: “Learning outcomes” Understand those properties of stable and long-lived particles important for their detection. Able to perform calculations of scattering kinematics and mean decay paths for relativistic particles.
116Conclusion: “Learning outcomes” Understand the variation of ionisation energy loss for charged particles as a function of velocity, as given by the Bethe-Bloch formula. Appreciate the physical origin of the various terms in this formula. Able to describe the underlying physics of other important energy-loss processes.
117Conclusion: “Learning outcomes” Understand the operation of certain types of detector. Able to analyse the effect of counting fluctuations on the performance of detectors. Understand the response of detectors to different particle types. Know the design elements of a "general purpose" particle detector.