Abstract
In this paper, we present a new calculation of the atmospheric neutrino flux in the energy range 10–107 GeV, which reveals sizable differences in muon neutrino flux predictions obtained with known hadronic models. The calculation is based on the method of solving nuclear cascade equations in the atmosphere, which takes into account the nonscaling behavior of inclusive cross sections for particle production, the increase in the total inelastic hadron-nucleus cross sections, and the non-power-law character of the primary cosmic ray spectrum. The efficiency of the method was recently tested in atmospheric muon flux calculations. The results of neutrino spectrum calculations have been compared with Frejus, AMANDA-II, and IceCube measurement data.
Similar content being viewed by others
References
Abbasi, R., Abdou, Y., Ackermann, M., et al., Determination of the Atmospheric Neutrino Flux and Searches for New Physics with AMANDA-II, Phys. Rev. D, 2009. vol. 79, pp. 102005.
Abbasi, R., Abdou, Y., Abu-Zayyad, T., et al., The Energy Spectrum of Atmospheric Neutrinos between 2 and 200 TeV with the AMANDA-II Detector, Astropart. Phys. 2010. vol. 34, pp. 48–58.
Achterberg, A., Ackermann, M., Adams, J., et al., Multiyear Search for a Diffuse Flux of Muon Neutrinos with AMANDA-II, Phys. Rev. D, 2007, vol. 76, pp. 042008.
Ackermann, M., Adams, J., Ahrens, J., et al., Search for Ultra-High-Energy Neutrinos with AMANDA-II, Astrophys. J. 2008, vol. 675, pp. 1014–1024.
Ahn, E.-J., Engel, R., Gaisser, T.K., et al., Cosmic Ray Interaction Event Generator SIBYLL 2.1, Phys. Rev. D, 2009, vol. 80, pp. 094003.
Antoni, T., Apel, W.D., Badea, A.F., et al., KASCADE Measurements of Energy Spectra for Elemental Groups of Cosmic Rays: Results and Open Problems, Astropart. Phys., 2005, vol. 24, pp. 1–25.
Apel W.D., Arteaga, J.C., Badea, A.F., et al., Energy Spectra of Elemental Groups of Cosmic Rays: Update on the KASCADE Unfolding Analysis, Astropart. Phys, 2009, vol. 31, pp. 86–91.
Aynutdinov, V., Balkanov, V., Belolaptikov, I., et al., Search for a Diffuse Flux of High-Energy Extraterrestrial Neutrinos with the NT200 Neutrino Telescope, Astropart. Phys., 2006, vol. 25, pp. 140–150.
Aynutdinov, V., Avrorin, A., Balkanov, V., et al., The Prototype String for the KM3-Scale Baikal Neutrino Telescope, Nucl. Instr. Meth. A., 2009, vol. 602, pp. 227–234.
Barr, G.D., Gaisser T.K., Lipari P., et al., Three-Dimensional Calculation of Atmospheric Neutrinos, Phys. Rev. D 2004, vol. 70, pp. 023006.
Berghaus, P., Abbasi, R., Ackermann, M., et al., IceCube: Status and First Results, Nucl. Phys., 2009, vol. 190, pp. 127–132.
Bugaev, E.V., Naumov, V.A., Sinegovsky, S.I., Zaslavskaya, E.S., Prompt Leptons in Cosmic Rays, Nuovo Cim. C, 1989, vol. 12, pp. 41–73.
Bugaev, E.V., Misaki, A., Naumov, V.A., et al., Atmospheric Muon Flux at Sea Level, Underground, and Underwater, Phys. Rev. D, 1998, vol. 58, pp. 054001. hep-ph/9803488.
Butkevich, A.V., Dedenko, L.G., and Zheleznykh, I.M., Spectra of Hadrons, Muons, and Neutrinos in the Atmosphere as the Solution to a Direct Problems, Yadr. Fiz., 1989, vol. 50, pp. 142–156.
Chirkin, D., Abbasi, R., Abdou, Y., et al., Measurement of the Atmospheric Neutrino Energy Spectrum with IceCube, Proc. 31st International Cosmic Ray Conference, 7–15 July 2009, Lodz, Poland, 2009. HE.2.2–1418.
Daum, K., Rhode, W., Bareyre, P., et al., Determination of the Atmospheric Neutrino Spectra with the Frejus Detector, Z. Phys. C, 1995. vol. 66, pp. 417–428.
Enberg, R., Reno, M.H., and Sarcevic, L., Prompt Neutrino Fluxes from Atmospheric Charm, Phys. Rev. D, 2008, vol. 78, pp. 043005.
Fletcher, R.S., Gaisser, T.K., Lipari, P., and Stanev, T., Sibyll: An Event Generator for Simulation of High Energy Cosmic Ray Cascades, Phys. Rev. D, 1994, vol. 50, pp. 5710–5731.
Fiorentini, G., Naumov, V.A., and Villante F.L., Atmospheric Neutrino Flux Supported by Recent Muon Experiments, Phys. Lett. B, 2001, vol. 510, pp. 173–186.
Gaisser, T.K. and Honda, M., Flux of atmospheric neutrinos, Ann. Rev. Nucl. Part. Sci. 2002, vol. 52, pp. 153–199.
Gelmini, G., Gondolo, P., and Varieschi G., Prompt Atmospheric Neutrinos and Muons: Dependence on the Gluon Distribution Function, Phys. Rev. D, 2000, vol. 61, pp. 056011.
Honda, M., Kajita, T., Kasahara, K., and Midorikawa, S. New calculation of the atmospheric neutrino flux in a three-dimensional scheme, Phys. Rev. D. 2004, vol. 70, pp. 043008.
Kalinovsky, A.N., Mokhov, N.V., and Nikitin Yu.P., Passage of high-energy particles through matter. New York: AIP, 1989. 262 p.
Kimel’, L.R. and Mokhov, N.V., Particle Distribution in the Energy Range of 10−2 to 1012 eV Inititated in Dense Media by High-Energy Hadrons, Izv. VUZ., Ser. Fiz., 1974, no. 10, pp. 17–23.
Kimel’, L.R. and Mokhov, N.V., Differential Cross Sections of Hadron-Nuclei Interactions and Certain Results of Calculating Internuclear Cascades, in Voprosy dozimetrii i zashchity ot izluchenii (Problems of Dosimetry and Protection from Radiation), Moscow: Atomizdat, 1975, pp. 41–44.
Kochanov, A.A., Sinegovskaya, T.S., and Sinegovsky, S.I., High-energy cosmic-ray fluxes in the Earth atmosphere: Calculations vs experiments, Astropart. Phys. 2008, vol. 30, pp. 219–233.
Kochanov, A.A., Sinegovskaya, T.S., and Sinegovsky, S.I. Impact of High-Energy Hadron Interactions on the Atmospheric Neutrino Flux Predictions, Proc. 31st International Cosmic Ray Conference, 7–15 July 2009, Lodz, Poland. OG 2.5, ID. 0693. arXiv: 0906.067143vl (astro-ph.HE).
Lipari, P., Lepton Spectra in the Earth’s Atmosphere, Astropart. Phys., 1993, vol. 1, pp. 195–227.
Margiotta, A., The ANTARES Detector, Nucl. Phys. B. (Proc. Suppl.), 2009, vol. 190, pp. 121–126.
Montaruli, T., Rapporteur Talk at the International 31st Cosmic Ray Conference. arXiv:0910.4364.
Naumov, V.A., Sinegovskaya, T.S., and Sinegovsky, S.I., The K13 Form Factors and Atmospheric Neutrino Flavor Ratio at High Energies, Nuovo Cim. A, 1998, vol. 111, pp. 129–147.
Naumov, V.A. and Sinegovskaya, T.S., Elementary Method of Solving Equations of Cosmic Ray Nucleon Transfer in the Atmosphere, Yadern. Fiz., 2000, vol. 63, no. 11., pp. 2020–2008.
Naumov, V.A., Atmospheric Muons and Neutrinos, Proceedings of the 2nd Workshop on Methodical Aspects of Underwater/Underice Neutrino Telescopes, Wischnewski, R., Ed., Hamburg, 2002, pp. 31. arXiv: hep-ph/0201310v2.
Ostapchenko, S.S., QGSJET-II: Towards Reliable Description of Very High Energy Hadronic Interactions, Nucl. Phys. B (Proc. Suppl.), 2006a, vol. 151, pp. 143–146.
Ostapchenko, S., Nonlinear Screening Effects in High Energy Hadronic Interactions, Phys. Rev. D, 2006b, vol. 74, pp. 014026.
Panov A.D., Adams, G.H., An, H.S., et al., Elemental Energy Spectra of Cosmic Rays from the ATIC-2 Experiment Data, Izv. RAN: Ser. Fiz., 2008, vol. 71, pp. 512–515. astro-ph/0612377.
Sinegovsky, S.I., Kochanov, A.A., Sinegovskaya, T.S., et al., Atmospheric Muon Flux at PeV Energies, Int. J. Mod. Phys. A, 2010, vol. 25, pp. 3733–3740. arXiv:0906.3791.
Volkoka, L.V., Energy Spectra and Angular Distributions of Atmospheric Neutrinos, Yadr. Fiz., 1980, vol. 31., vol. 31, pp. 1510–1521.
Volkova, L.V. and Zatsepin, G.T., Uncertainties In Prompt Atmospheric Neutrino Flux Calculations, Phys. Lett. B, 1999, vol. 462, pp. 211–216.
Zatsepin, V.I. and Sokolskaya, N.V., Three Component Model of Cosmic Ray Spectra from 10 GeV to 100 PeV, Astron. Astrophys., 2006, vol. 458, pp. 1–5.
Zatsepin, V.I. and Sokol’skaya, N.V., Pis’ma Astron. Zh., 2007, vol. 33, pp. 29–38.
Author information
Authors and Affiliations
Additional information
Original Russian Text © A.A. Kochanov, T.S. Sinegovskaya, S.I. Sinegovsky, 2011, published in Solnechno-Zemnaya Fizika, 2011, Vol. 17, pp. 97–101.
Rights and permissions
About this article
Cite this article
Kochanov, A.A., Sinegovskaya, T.S. & Sinegovsky, S.I. Zenith angular distributions of atmospheric high-energy neutrinos. Geomagn. Aeron. 51, 952–957 (2011). https://doi.org/10.1134/S0016793211070085
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0016793211070085