Muon Monte Carlo: version 1.0
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1 Muon Monte Carlo: version.0 Dmitry Chirkin, Wolfgang Rhode University of California at Berkeley, USA Bergische Universität Gesamthochschule Wuppertal, Germany mmc code homepage is dima/work/muonpr/muonpropagation.html mmc code available at dima/work/muonpr/bkp/mmc.tgz
2 Parametrization errors: precision of parametrization (total) energy [GeV] Interpolation precision
3 Parametrization errors: relative error in parametrization of energy losses g=2 g=3 g=4 g= energy [GeV] Interpolation precision
4 muons with that energy energy [TeV] Comparison of paramerized (dashed-dotted) with exact (non-parametrized, dotted) versions for
5 muons with that energy g=5 g= energy [TeV] Comparison of paramerized versions run with different g
6 Final energy distribution of the muons that crossed 300 m of Fréjus Rock with initial energy 00 TeV: muons with that energy energy [TeV] Comparison of (dotted-dashed) with =0 TeV (dotted). Also shown is the relative difference of the curves.
7 secondaries with that energy ioniz brems photo epair energy [GeV] ioniz (upper solid curve), brems (dashed), photo (dotted), epair (dashed-dotted) spectra for =0 TeV in the Fréjus rock
8 x x TeV v cut 00 TeV v cut Average final energy deviation from the purely continuous prediction
9 muons survived muons [x 0 3 ] energy [GeV] distance traveled [km] muons with energy 9 TeV propagated through 0 km of water: regular (dashed) vs. cont (dotted)
10 Survival probabilities cont TeV 3 km 9 TeV 0 km TeV 40 km 0.2 no yes no yes no yes no yes cont TeV 3 km 9 TeV 0 km TeV 40 km MMC (default) MMC (ZEUS) MUM MUSIC PROPMU
11 muons with that energy mmc mum energy [TeV] Comparison of MMC with MUM
12 muons with that energy mmc mum energy [TeV] Comparison of MMC with MUM
13 Photonuclear losses, LPM effect and Molière scattering photon-nucleon cross section [µb] energy [GeV] different photon-nucleon cross sections implemented in MMC, Bezrukov Bugaev parametrization
14 photonuclear energy losses per energy [g- cm2] BB 2 BB 3 BB 4 BB ALLM energy [GeV] photonuclear energy losses (divided by energy), according to different formulae.
15 energy losses per energy [g- cm2] epair brems epair brems energy [GeV] LPM effect in ice (higher plots) and Fréjus rock (lower plots, multiplied by )
16 deviation from shower axis [cm] distance traveled [km] of ice Molie re scattering of 00 0 TeV muons going straight down through ice
17 y deviation [cm] x deviation [cm] Molie re scattering of 00 0 TeV muons going straight down through ice
18 Final energy distribution of the muons that crossed 300 m of Fréjus Rock with initial energy 00 TeV: muons with that energy energy [TeV] (solid), (dashed-dotted), and cont option (dotted)
19 muons with that energy energy [TeV] no cont : (solid), (dashed-dotted) (dashed), (dotted),
20 muons with that energy energy [TeV] with cont option: (solid), (dashed-dotted) (dashed), (dotted),
21 energy losses [GeV g- cm2] ioniz brems photo epair decay energy [GeV] muon energy losses in ice
22 energy losses [GeV g- cm2] ioniz brems photo epair decay energy [GeV] tau energy losses in ice
23 energy losses [GeV g- cm2] total decay energy [GeV] tau energy losses in ice
24 average range [km] v cut =. v cut = energy [GeV] tau range
25 average range [km] 0 v cut =. v cut = energy [GeV] tau range
26 precision of parametrization (total) energy [GeV] tau parametrization errors
27 Execution speed, same settings tracking execution time, sec MMC (ibm), basic 600 MMC (ibm), all, g=5 000 MMC (gcc), all, g=5 400 mudedx (loh) 500 mudedx (lip) 900
28 Conclusions. Version.0 has been frozen and tested for all possible combinations of parameters 2. It is available at the AMANDA Software page and MMC homepage dima/work/muonpr/ muonpropagation.html 3. MMC gives very reliable, reproducible results that were checked against MUM 4. MMC is FAST, very fast 5. The number of options (ALLM and LPM, continuous randomization, exact time of flight, moliere scattering, stopped muon decay) and numerical settings (double, float, hifi, different romb settings) are not available anywhere else 6. MMC was tested to propagate muons and taus for energies up to ev for all possible numerical settings mentioned above and double romb=5 version is guaranteed to work for energies up to (with the usual disclaimer about the precision of our knowledge of the cross sections).
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