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Muon Monte Carlo: a versatile tool for lepton propagation through matter

Muon Monte Carlo: a versatile tool for lepton propagation through matter. Dmitry Chirkin, LBNL, Berkeley, USA. October 31, 2006, Dortmund University. Introduction. Muon propagation: why do we need it?. Muon/neutrino detectors?. Particles observed by neutrino detectors. Muon Monte Carlo.

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Muon Monte Carlo: a versatile tool for lepton propagation through matter

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  1. Muon Monte Carlo: a versatile tool for lepton propagation through matter Dmitry Chirkin, LBNL, Berkeley, USA October 31, 2006, Dortmund University

  2. Introduction Muon propagation: why do we need it? Muon/neutrino detectors?

  3. Particles observed by neutrino detectors

  4. Muon Monte Carlo A tool for muon propagation simulation

  5. Structure of the program

  6. Simulation of muon propagation Starting with Ei Ending with Ef 1.0 P(E)dx Stochastic losses vcut=0.05 f(E)dx Continuous losses Ecut=500 MeV

  7. Method of propagation 0.05 10-4 0.05 0.01 Distribution of the final energy of the muons that crossed 300 m of Frejus rock starting with 100 TeV 10-4 10-3

  8. Method of propagation 0.05 0.05 10-4 0.05 0.01 Distribution of the final energy of the muons that crossed 300 m of Frejus rock starting with 100 TeV 0.05 10-4 10-4 10-3 10-3 0.01

  9. Muon cross sections Ionization losses + knock-on electrons Bremsstrahlung 10 TeV muon Photonuclear Electron pair production Decay

  10. Bremsstrahlung muons electrons

  11. Photonuclear interaction Photon-nucleon Photonuclear

  12. Muon propagator (MMC) settings: ph-nu settings photoproduction DIS Q2 soft hard 1 GeV2 Abramowicz Levin Levy Maor Bezrukov-Bugaev Butkevich-Mikheyev BB 1981 2002 1991 1997 ZEUS 94 Nuclear effects BB + Hard 03 Bugaev Shlepin Kokoulin 99 Dutta Smirnov

  13. Mass effects Delta-correction to ionization (included into the ionization cross section) LPM suppression of the bremsstrahlung and direct electron pair production Dialectric suppression of the bremsstrahlung cross section

  14. Moliere scattering

  15. Electron, tau, and monopole muon electron tau monopole

  16. Neutrino propagation Earth density profile is implemented Neutrino cross sections Also: nm ntoscillations

  17. Interpolation errors Comparison: parameterized vs. non-parameterized Interpolation precision: (epa-enp)/epa vcut=0.01 vcut=10-4 vcut=10-4 Elow=10 TeV Distribution of the final energy of the muons that crossed 300 m of Frejus rock starting with 100 TeV Interpolation order: g=2,…6

  18. Algorithm errors: average propagation Deviation from average energy loss (with vcut=1) Propagating 4 106 muons through 100 m of Frejus rock

  19. Algorithm errors: survival probability 106 muons with energy 9 TeV propagated through 10 km of water

  20. Comparison with other codes: MUM (MUons + Medium) MUM code by E. Bugaev, I. Sokalski, S. Klimushin

  21. Spectra of the secondaries MUM LOH LIP MMC

  22. Number and energy of secondaries

  23. Implementation for muon/neutrino detector • 3 propagation regions: • before the detector: propagation with fixed vcut • inside the detector: propagation with fixed vcut or Ecut • after the detector: fast propagation with vcut=1.0

  24. Parameterization of atmospheric lepton fluxes withCORSIKA Primaries with Z=1,…,26: Poli-gonato composition model Run CORSIKA Parameterize simultated fluxes with With corrections for zenith angle, muon energy loss and decay

  25. Parameterization of the atmosphere

  26. Muon energy losses

  27. Atmospheric lepton fluxes muons muon neutrinos electron neutrinos

  28. Integrated fluxes

  29. Quality of the fits fit quality stability of the result

  30. Things to remember • mmc was written in 2000 and has been updated a few times with new cross sections and features • mmc has been used by AMANDA and now IceCube, also in data analysis of Frejus • mmc is available at http://icecube.berkeley.edu/~dima/work/MUONPR • mmc stands for Muon Monte Carlo and propagates muons • perhaps more appropriate name is ALMC: All Lepton Monte Carlo, since it propagates muons, taus, electrons, all neutrinos • mmc can also stand for monopole monte carlo

  31. Applet demonstration

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