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FLUKA as a new high energy cosmic ray generator G. Battistoni2, A. Margiotta1, S. Muraro2, M. Sioli1 University and INFN of 1) Bologna and 2) Milano for the FLUKA Collaboration Very Large Volume n Telescope Workshop 2009, Athens Outline Main features of FLUKA Motivations Code structure Geometry setup First results Conclusions A. Margiotta, Athens 2009 2 FLUKA - Interaction and Transport Monte Carlo code FLUKA authors: A. Fasso1, A. Ferrari2, J. Ranft3, P.R. Sala4 1 SLAC Stanford, 2 CERN, 3 Siegen University, 4 INFN Milan http://www.fluka.org FLUKA is a general purpose tool for calculations of particle transport and interactions with matter, covering an extended range of applications (Shielding, Radiobiology, High energy physics, Cosmic Ray physics, Nuclear and reactor physics). Built and maintained with the aim of including the best possible physical models in terms of completeness and precision. Continuously benchmarked with a wide set of experimental data from well controlled accelerator experiments. More than 2000 users all over the world Physics models (e.g. hadronic interaction models) built according to a theoretical microscopic point of view (no parameterizations) => High predictivity also in regions where experimental data are not available Cosmic Ray physics with FLUKA “triggered” by: HEP physics (e.g. atmospheric neutrino flux calculations) radioprotection in space A. Margiotta, Athens 2009 3 Motivations extension of the existing FLUKA cosmic-ray library to high energy region (primaries at the knee of the spectrum) use in underground and underwater sites use of a unique framework with high quality physics models (FLUKA) for the whole simulation, from primary interaction in the upper atmosphere to the detector level (and through the detector itself, in principle) creation of a prediction data set (muons and muonrelated secondaries) for some topic sites: presently LNGS, ANTARES and Capo Passero sites A. Margiotta, Athens 2009 5 Code structure Geometry description Generation of the kinematics (i.e. the source particles) ↔ primary cosmic ray composition model 2 hadronic interaction models can be used: DPMJET-II.53 FLUKA Output file on an event by event basis – interface between standard and user output (presently ASCII “ANTARES-like” and root output) information on primary cosmic ray generating the shower for each particle reaching the detector level, stores all the relevant parameters (particle ID, 3-momenta, vertex coordinates, momentum in atmosphere, information on the parent mesons etc) N.B. With FLUKA, shower generation, transport in the sea/rock, and particle folding in the detector is performed inside the same framework A. Margiotta, Athens 2009 6 Geometry setup (e.g. LNGS site) 100 atmospheric shells 1 spherical body for the mountain, whose radius is dynamically changed, according to primary direction and to the Gran Sasso mountain map (direction rock depth) 1 rock box surrounding the experimental underground halls, where muon-induced secondary are activated (e.m. and hadron showers from photo-nuclear interactions) Underground halls: one box + one semi-cylinder Possibility to include simultaneously more than one experimental Hall to study large transverse momentum secondaries with detector coincidences) A. Margiotta, Athens 2009 Geometry for underground sites z Spherical mountain whose radius is dynamically changed using a detailed topographical map Primary injection point d R0 R 2 d2 R 02 2R 0dcz R Earth A. Margiotta, Athens 2009 Geometry setup: LNGS halls m External (rock) volume to propagate all particles down to 100 MeV muon-produced secondaries LNGS underground halls A. Margiotta, Athens 2009 Some results from the simulation Vertexes of particles entering the Hall C at LNGS For a given site (e.g. Hall C at LNGS), possibility to parameterize all particle components reaching the underground level events/year photons electrons muons log10 Ekin (GeV) A. Margiotta, Athens 2009 Geometry setup (underwater) Underwater case (e.g. ANTARES/KM3NeT) Earth ≡ sphere of perfectly absorbing medium sea ≡ spherical shell of water atmosphere ≡ 100 concentric atmospheric shells Can ≡ virtual cylindrical surface bounding the active volume (instrumented volume + 2-3 labs ) A. Margiotta, Athens 2009 11 Geometry for underwater sites m Can Earth M. Sioli, Blois 2008 12 Primary sampling Primary energy spectrum has the form: dN A 1A A K 1 E , E Eknee dE dN A 2A A K 2 E , E Eknee dE ~2.7÷3 Ecut~3000 TeV Ecut E Possibility to choose among different spectra (now MACROfit is implemented) Sampling done re-adapting some HEMAS routines A. Margiotta, Athens 2009 13 Technical issues (biasing)–underwater case ■ initialize minimum energy for primary cosmic rays: recompute “on the fly” energy thresholds: ■ ■ ■ lower bound evaluated according to muon survival probabilities 2* Ethrm muon survival probabilities for various depths in sea water and various muon energies at surface, evaluated with MUSIC (V. Kudryatsev) muon energy at sea level survival probability < 10-5 function obtained with a fit multiplied by 0.9 underground case : thresholds are evaluated according to the rock map kill in atmosphere all particles with energy lower than this threshold. only muons with E> 20/100 GeV at the can are stored. CPU time request optimized : FULL MC !!! A. Margiotta, Athens 2009 14 Some results from the simulation -1 Sea bottom = 3500 m Can radius = 1000 m height = 1000 m primaries sampled on a circle with R= 2000 m perpendicular to their direction and centered in the origin of the can Vertexes of particles entering a KM3 detector can at 3500 m under sea level A. Margiotta, Athens 2009 muons propagated from the sea level to their geometrical intercept with the detector surface 15 Some results from the simulation -2 multiplicity @ can muon decoherence multiplicity meters primary energy Log (energy/TeV) A. Margiotta, Athens 2009 16 Conclusions FLUKA can be used as a new high energy cosmic ray generator for underground and underwater physics. Package developed using LNGS and neutrino telescope sites as examples. It cannot substitute MUPAGE for fast simulation of atmospheric muon background. Unique framework significant simplification of the FULL MC chain Next steps: Introduce other primary cosmic ray composition models Extensive studies with FLUKA hadronic model in progress: very encouraging results! Some space for code optimization. Sea level sampling Further information: send me an e-mail. A. Margiotta, Athens 2009 17 spare slides The physics of CR TeV muons Primary C.R. proton/nucleus: A,E,isotropic hadronic interaction: multiparticle production s(A,E), dN/dx(A,E) extensive air shower Primary p, He, ..., Fe nuclei with lab. energy from 1 TeV/nucleon up to >10000 TeV/nucleon K (ordinary) meson decay: dNm/d cosq ~ 1/ cosq p short-lifetime meson production and prompt decay (e.g. charmed mesons) Isotropic ang. distr. m m transverse size of bundle Pt(A,E) m (TeV) muon propagation in water : radiative processes and fluctuations Multi-TeV muon transport detection: Nm(A,E), dNm/dr A. Margiotta, Athens 2009 20 The FLUKA hadronic interaction models (for a detailed study of their validity for CR studies :hep-ph/0612075 and 0711.2044) Hadron-Hadron Elastic,exchange Phase shifts data, eikonal P<3-5GeV/c Resonance prod and decay Hadron-Nucleus E < 5 GeV PEANUT Sophisticated GINC Preequilibrium Coalescence High Energy Glauber-Gribov multiple interaction s Coarser GINC Coalescence > 5 GeV Elab low E π,K Special High Energy DPM hadronization Nucleus-Nucleus E< 0.1GeV/u BME Complete fusion+ peripheral 0.1< E< 5 GeV/u rQMD-2.4 modified new QMD Evaporation/Fission/Fermi break-up deexcitation E> 5 GeV/u DPMJET DPM+ Glauber+ GINC Relevant for HE C.R. physics DPM: soft physics based on (multi)Pomeron exchange DPMJET: soft physics of DPM plus 2+2 processes from pQCD Phys. Rev. D 76, 052003 (2007) MINOS 0.012 Charge Ratio at the Surface = 1.374 ± 0.004 (stat.) 0.010 (sys.) •Agreement between FLUKA simulation and MINOS data within 3% RFLUKA μ+/μ− = 1.333 ± 0.007 •Discrepancy systematically remarkable •No dependence on muon momentum in the atmosphere in the range considered L3 + COSMIC (hep-ex/0408114). RFLUKA= 1.29 0.05 Rexp= 1.285 0.003(stat.) ± 0.019(sys.) 22