1. Particle Detectors for Colliders Robert S. Orr University of Toronto

2. Plan of Lectures I’ve interpreted this title to mean: –Physical principles of detectors –How these principles are applied to representative devices Physical principles are not particular to colliders –Realization as devices probably is, a bit An enormous field – I can only scratch the surface –At Toronto I give this material as about 15 lectures –More comprehensive (?) notes from UofT lectures These pages also have some notes on accelerators http://hep.physics.utoronto.ca/~orr/wwwroot/phy2405/Lect.htm

3. High Energy Physics experiments? 1.Collide Particles 2.Detect Final State 3.Understand Connection of 1 + 2 Accelerators & Beams Analysis Detectors

4. R.S. Orr 2009 TRIUMF Summer Institute  Layers of Detector Systems around Collision Point Generic Detector

5. R.S. Orr 2009 TRIUMF Summer Institute Generic Detector  Different Particles detected by different techniques.  Tracks of Ionization – Tracking Detectors  Showers of Secondary particles – Calorimeters

6. R.S. Orr 2009 TRIUMF Summer Institute Generic Detector  Different Particles detected by different techniques.  Tracks of Ionization – Tracking Detectors  Showers of Secondary particles – Calorimeters

7. R.S. Orr 2009 TRIUMF Summer Institute ATLAS Detector

8. R.S. Orr 2009 TRIUMF Summer Institute ATLAS Detector  Different Particles detected by different techniques.  Tracks of Ionization – Tracking Detectors  Showers of Secondary particles – Calorimeters

9. Interaction of Charged Particles with Matter All particle detectors ultimately use interaction of electric charge with matter –Track Chambers –Calorimeters –Even Neutral particle detectors Ionization –Average energy loss –Landau tail Multiple Scattering Cerenkov Transition Radiation Electron’s small mass - radiation

10. R.S. Orr 2009 TRIUMF Summer Institute Energy Loss to Ionization Heavy charged particle interacting with atomic electrons All electrons with shell at impact parameter b Energy loss - symmetry Gauss Density of electrons

11. R.S. Orr 2009 TRIUMF Summer Institute Physical limits of integration Maximum minimum b In a classical head-on collisionRelativistically

12. R.S. Orr 2009 TRIUMF Summer Institute Physical limits of integration Time for EM interaction Electrons bound in atoms Time of interaction must be small, compared to orbital period, else energy transfer averages to zero Orbital period Collision time Put in integration limits

13. R.S. Orr 2009 TRIUMF Summer Institute Ionization Loss This works for heavy particles like α Breaks down for Correct QED treatment gives Bethe – Bloch equation Maximum energy transfer in single collision Mean excitation potential of materialDensity correction Shell correction

14. R.S. Orr 2009 TRIUMF Summer Institute Bethe – Bloch Equation Mean excitation potential This is main parameter in B –B Hard to calculate measure infer I Empirically

15. R.S. Orr 2009 TRIUMF Summer Institute Relativistic rise & Density Correction Electric field polarizes material along path Far off electrons shielded from field and contribute less Polarization greater in condensed materials, hence density correction

16. R.S. Orr 2009 TRIUMF Summer Institute Particle Identification depends on velocity Usually measure determines mass

17. R.S. Orr 2009 TRIUMF Summer Institute Particle Identification

18. R.S. Orr 2009 TRIUMF Summer Institute Mass Stopping PowerMixtures of Materials expressed as (mass)x(thickness) is relatively constant over a wide range of materials density Roughly constant over periodic table ln variation Independent of material Cu or Fe, Al, …. 10 MeV proton loses same energy in Bragg’s Rule fraction by weight No of atoms of i element molecule

19. R.S. Orr 2009 TRIUMF Summer Institute Electron Energy Loss More complicated than heavy particles discussed so far Small mass radiation (bremsstrahlung) dominates Above critical energy, radiation dominates Below critical energy, ionization dominates What constitutes a heavy particle, depends on energy scale

20. R.S. Orr 2009 TRIUMF Summer Institute Bethe Bloch for electrons Projectile deflected Projectile and atomic electrons have equal masses Also identical particles – statistics Equal masses identical non-identical

21. R.S. Orr 2009 TRIUMF Summer Institute Bremsstrahlung Below ~100 GeV/c only important for electrons > 100 GeV/c becomes important for muons in the GeV range e  atoms /cc independent of function of material can emit all energy in a few photons -> large fluctuations

22. R.S. Orr 2009 TRIUMF Summer Institute Radiation Length assume indep of E distance over which the electron energy is reduced by1/e on average Radiation Length for x expressed in units of

23. R.S. Orr 2009 TRIUMF Summer Institute Electron Energy Loss electrons in Cu approx valid for any material

24. R.S. Orr 2009 TRIUMF Summer Institute good approximation (3%) except for He

25. R.S. Orr 2009 TRIUMF Summer Institute High Energy Muons

26. R.S. Orr 2009 TRIUMF Summer Institute Muons in Cu

27. R.S. Orr 2009 TRIUMF Summer Institute Cerenkov Radiation 2 eV345 350 nm to 550 nm measureknown

28. Multiple Coulomb Scattering Can be a very important limitation on detector angle/momentum resolution For Charged particles traversing a material (ignore radiation) –Inelastic collisions with electrons - ionization –elastic scattering from atomic nuclei Rutherford scattering vast majority of scatters – small angle  is polar angle number of scatters > 20 negligible energy loss Gaussian statistical treatment is usually ok

29. R.S. Orr 2009 TRIUMF Summer Institute Gaussian Multiple Scattering 15.7 MeV electrons Gaussian cf. experiment more material probability of scattering through  RMS scattering angle

30. R.S. Orr 2009 TRIUMF Summer Institute Gaussian Multiple Scattering For detectors usually interested in RMS scattering angle – projected on a plane most detectors measure in a plane

31. Energy Loss Distribution So far have discussed In general energy loss for a given particle For a mono-energetic beam distribution of energy losses Thick Absorber – Gaussian Energy Loss Thin Absorber – Possibility of low probability, high fractional energy transfers

32. R.S. Orr 2009 TRIUMF Summer Institute Typical Energy Loss in Thin Absorber Scintillator Wire Chamber Cell Si tracker wafer long tail Various Calculations Landau – most commonly used Vavilov - “improved” Landau Practical Implications Use of dE/dx for particle ident -Landau tails cause limitation in separation Position in tracking chamber -Landau tails smear resolution Separation of 1 from 2 particles in an ionization/scintillator counter -Landau tails smear ionization

34. R.S. Orr 2009 TRIUMF Summer Institute Energy Loss of Photons in Matter Important for Electromagnetic Showers Photoelectric Effect Compton Scattering Pair Production – completely dominant above a few MeV For a beam of  or survival probability of a single  absorption coefficient

35. R.S. Orr 2009 TRIUMF Summer Institute Photoelectric Effect Pb K absorption edge – inner, most tightly bound electrons Atomic electron absorbs photon and is ejected Cross section for absorption increases with decreasing energy until Then drops because not enough energy to eject K-shell electrons Dependence on material

36. R.S. Orr 2009 TRIUMF Summer Institute Compton Scattering Compton Edge – Detector Calibration

37. R.S. Orr 2009 TRIUMF Summer Institute Pair Production Central to electromagnetic showers Can only occur in field of nucleus Rises with energy cf. Compton and PE Same Feynman diagram as Brems Mean Free Path Closely related to Radiation Length

38. R.S. Orr 2009 TRIUMF Summer Institute Photon Absorption as Function of Energy Pb MeV