Energy spectrum of tau leptons induced by the high energy Earth-skimming neutrinos

Jie-Jun Tseng; Tsung-Wen Yeh; H. Athar; M. A. Huang; Fei-Fain Lee; Guey-Lin Lin

doi:10.1103/PhysRevD.68.063003

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Energy spectrum of tau leptons induced by the high energy Earth-skimming neutrinos

Jie-Jun Tseng^1,*, Tsung-Wen Yeh^2,†, H. Athar^2,3,‡, M. A. Huang^4,§, Fei-Fain Lee^2,∥, and Guey-Lin Lin^2,¶

¹Institute of Physics, Academia Sinica, Taipei 115, Taiwan
²Institute of Physics, National Chiao-Tung University, Hsinchu 300, Taiwan
³Physics Division, National Center for Theoretical Sciences, Hsinchu 300, Taiwan
⁴Department of Physics, National Taiwan University, Taipei 10617, Taiwan

^*Email address: gen@phys.sinica.edu.tw
^†Email address: twyeh@cc.nctu.edu.tw
^‡Email address: athar@phys.cts.nthu.edu.tw
^§Present address: National United University, Miaoli 360, Taiwan. Email address: huangmh@phys.ntu.edu.tw
^∥Email address: u8727515@cc.nctu.edu.tw
^¶Email address: glin@cc.nctu.edu.tw

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Phys. Rev. D 68, 063003 – Published 26 September, 2003

DOI: https://doi.org/10.1103/PhysRevD.68.063003

Abstract

We present a semianalytic calculation of the tau-lepton flux emerging from the Earth induced by incident high energy neutrinos interacting inside the Earth for $10^{5} <~ E_{ν} / GeV <~ 10^{10} .$ We obtain results for the energy dependence of the tau-lepton flux coming from the Earth-skimming neutrinos, because of the neutrino-nucleon charged-current scattering as well as the resonant ${\bar{ν}}_{e} e^{-}$ scattering. We illustrate our results for several anticipated high energy astrophysical neutrino sources such as the active galactic nuclei, the gamma-ray bursts, and the Greisen-Zatsepin-Kuzmin neutrino fluxes. The tau-lepton fluxes resulting from rock-skimming and ocean-skimming neutrinos are compared. Such comparisons can render useful information about the spectral indices of incident neutrino fluxes.

References (29)

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S. Bottai and S. Giurgola, Astropart. Phys. 18, 539 (2003).
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http://www.ps.uci.edu/ $\sim$ anita/
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For a recent discussion, see H. Athar and G.-L. Lin, Astropart. Phys. 19, 569 (2003), and references cited therein.
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V.A. Naumov and L. Perrone, Astropart. Phys. 10, 239 (1999).
A. Neronov, D. Semikoz, F. Aharonian, and O. Kalashev, Phys. Rev. Lett. 89, 051101 (2002); O.E. Kalashev, V.A. Kuzmin, D.V. Semikoz, and G. Sigl, Phys. Rev. D 66, 063004 (2002).
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[c1] S.W. Barwick, lectures presented at 28th SLAC Summer Institute on Particle Physics: Neutrinos from the Lab, the Sun, and the Cosmos (SSI 2000), Stanford, California, USA, 2000; H. Athar, hep-ph/0209130. For a recent review article, see hep-ph/0212387.

[c2] G. Domokos and S. Kovesi-Domokos, hep-ph/9801362; hep-ph/9805221; see also D. Fargion, Astrophys. J. 570, 909 (2002).

[c3] X. Bertou, P. Billoir, O. Deligny, C. Lachaud, and A. Letessier-Selvon, Astropart. Phys. 17, 183 (2002).

[c4] J.L. Feng, P. Fisher, F. Wilczek, and T.M. Yu, Phys. Rev. Lett. 88, 161102 (2002).

[c5] S. Bottai and S. Giurgola, Astropart. Phys. 18, 539 (2003).

[c6] RICE Collaboration, I. Kravchenko et al., astro-ph/0306408; see also, M. Chiba et al., in Radio Detection of High Energy Particles, edited by D. Saltzberg and P. Gorham, AIP Conf. Proc. No. 579 (AIP, Melville, NY, 2001), p. 204.

[c7] http://www.ps.uci.edu/ $\sim$ anita/

[c8] L.V. Volkova, G.T. Zatsepin, and L.A. Kuzmichev, Yad. Fiz. 29, 1252 (1979) [Sov. J. Nucl. Phys. 29, 645 (1979)].

[c9] S.L. Glashow, Phys. Rev. 118, 316 (1960).

[c10] For a recent discussion, see H. Athar and G.-L. Lin, Astropart. Phys. 19, 569 (2003), and references cited therein.

[c11] S. Iyer Dutta, M.H. Reno, I. Sarcevic, and D. Seckel, Phys. Rev. D 63, 094020 (2001).

[c12] B. Rossi, High Energy Particles (Prentice-Hall, Englewood Cliffs, NJ, 1952).

[c13] A.A. Petrukhin and V.V. Shestakov, Can. J. Phys. 46, S377 (1968).

[c14] R.P. Kokoulin and A.A. Petrukhin, in Proceedings of the XII International Conference on Cosmic Rays, Hobart, Tasmania, Australia, 1971, Vol. 6.

[c15] L.B. Bezrukov and E.V. Bugaev, Yad. Fiz. 33, 1195 (1981) [Sov. J. Nucl. Phys. 33, 635 (1981)]. For a recent discussion, see E.V. Bugaev and Y.V. Shlepin, Phys. Rev. D 67, 034027 (2003).

[c16] P. Lipari and T. Stanev, Phys. Rev. D 44, 3543 (1991).

[c17] J. Pumplin, D.R. Stump, J. Huston, H.L. Lai, P. Nadolsky, and W.K. Tung, J. High Energy Phys. 07, 012 (2002).

[c18] V.A. Naumov and L. Perrone, Astropart. Phys. 10, 239 (1999).

[c19] A. Neronov, D. Semikoz, F. Aharonian, and O. Kalashev, Phys. Rev. Lett. 89, 051101 (2002); O.E. Kalashev, V.A. Kuzmin, D.V. Semikoz, and G. Sigl, Phys. Rev. D 66, 063004 (2002).

[c20] E. Waxman and J.N. Bahcall, Phys. Rev. Lett. 78, 2292 (1997); Phys. Rev. D 59, 023002 (1999).

[c21] V.S. Berezinsky and G.T. Zatsepin, Phys. Lett. 28B, 423 (1969). For a recent discussion, see R. Engel, D. Seckel, and T. Stanev, Phys. Rev. D 64, 093010 (2001).

[c22] H. Athar, Nucl. Phys. B (Proc. Suppl.) 122, 305 (2003); H. Athar, K. Cheung, G.-L. Lin, and J.-J. Tseng, Astropart. Phys. 18, 581 (2003).

[c23] AMANDA Collaboration, J. Ahrens et al., Phys. Rev. Lett. 90, 251101 (2003).

[c24] N. La Barbera (private communication).

[c25] G.W. Hou and M.A. Huang, in Proceedings of the 1st NCTS Workshop on Astroparticle Physics, Taiwan, 2001, edited by H. Athar, G.-L. Lin, and K.-W. Ng (World Scientific, Singapore, 2002), pp. 105–116, astro-ph/0204145. See also http://hep1.phys.ntu.edu.tw/nutel/

[c26] M.A. Huang, G.-L. Lin, and J.-J. Tseng (in progress).

[c27] HiRes-MIA Collaboration, T. Abu-Zayyad et al., Astrophys. J. 557, 686 (2001).

[c28] S.P. Swordy and D.B. Kieda, Astropart. Phys. 13, 137 (2000).

[c29] Z. Cao, M.A. Huang, P. Sokolsky, and R.W. Springer, in Proceedings of the 28th International Cosmic Ray Conference, Tsukuba, Japan, 2003 (in preparation).

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Energy spectrum of tau leptons induced by the high energy Earth-skimming neutrinos

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