Measurements of the charge ratio and polarization of cosmic-ray muons with the Super-Kamiokande detector
Abstract: We present the results of the charge ratio ($R$) and polarization ($P{\mu}_{0}$) measurements using the decay electron events collected from 2008 September to 2022 June by the Super-Kamiokande detector. Because of its underground location and long operation, we performed high precision measurements by accumulating cosmic-ray muons. We measured the muon charge ratio to be $R=1.32 \pm 0.02$ $(\mathrm{stat.}{+}\mathrm{syst.})$ at $E_{\mu}\cos \theta_{\mathrm{Zenith}}=0.7{+0.3}_{-0.2}$ $\mathrm{TeV}$, where $E_{\mu}$ is the muon energy and $\theta_{\mathrm{Zenith}}$ is the zenith angle of incoming cosmic-ray muons. This result is consistent with the Honda flux model while this suggests a tension with the $\pi K$ model of $1.9\sigma$. We also measured the muon polarization at the production location to be $P{\mu}_{0}=0.52 \pm 0.02$ $(\mathrm{stat.}{+}\mathrm{syst.})$ at the muon momentum of $0.9{+0.6}_{-0.1}$ $\mathrm{TeV}/c$ at the surface of the mountain; this also suggests a tension with the Honda flux model of $1.5\sigma$. This is the most precise measurement ever to experimentally determine the cosmic-ray muon polarization near $1~\mathrm{TeV}/c$. These measurement results are useful to improve the atmospheric neutrino simulations.
First 10 authors:
- Z. Maki, M. Nakagawa, and S. Sakata, Remarks on the unified model of elementary particles, Prog. Theor. Phys. 28, 870 (1962).
- B. Pontecorvo, Neutrino Experiments and the Problem of Conservation of Leptonic Charge, Sov. Phys. JETP 26, 984 (1968).
- Y. Fukuda et al. (The Super-Kamiokande collaboration), Evidence for oscillation of atmospheric neutrinos, Phys. Rev. Lett. 81, 1562 (1998), arXiv:hep-ex/9807003 .
- M. G. Aartsen et al. (The IceCube collaboration), Measurement of Atmospheric Neutrino Oscillations at 6–56 GeV with IceCube DeepCore, Phys. Rev. Lett. 120, 071801 (2018), arXiv:1707.07081 [hep-ex] .
- K. Abe et al. (The Super-Kamiokande collaboration), Atmospheric neutrino oscillation analysis with external constraints in Super-Kamiokande I-IV, Phys. Rev. D 97, 072001 (2018), arXiv:1710.09126 [hep-ex] .
- A. Albert et al. (The ANTARES collaboration), Measuring the atmospheric neutrino oscillation parameters and constraining the 3+1 neutrino model with ten years of ANTARES data, JHEP 06, 113, arXiv:1812.08650 [hep-ex] .
- S. Fukuda et al. (The Super-Kamiokande collaboration), Solar B-8 and hep neutrino measurements from 1258 days of Super-Kamiokande data, Phys. Rev. Lett. 86, 5651 (2001), arXiv:0103032 [hep-ex] .
- Q. R. Ahmad et al. (The SNO collaboration), Measurement of the rate of νe+d→p+p+e−→subscript𝜈𝑒𝑑𝑝𝑝superscript𝑒\nu_{e}+d\to p+p+e^{-}italic_ν start_POSTSUBSCRIPT italic_e end_POSTSUBSCRIPT + italic_d → italic_p + italic_p + italic_e start_POSTSUPERSCRIPT - end_POSTSUPERSCRIPT interactions produced by 88{}^{8}start_FLOATSUPERSCRIPT 8 end_FLOATSUPERSCRIPTB solar neutrinos at the Sudbury Neutrino Observatory, Phys. Rev. Lett. 87, 071301 (2001), arXiv:0106015 [nucl-ex] .
- Q. R. Ahmad et al. (The SNO collaboration), Direct evidence for neutrino flavor transformation from neutral current interactions in the Sudbury Neutrino Observatory, Phys. Rev. Lett. 89, 011301 (2002), arXiv:0204008 [nucl-ex] .
- E. Aliu et al. (The K2K collaboration), Evidence for muon neutrino oscillation in an accelerator-based experiment, Phys. Rev. Lett. 94, 081802 (2005), arXiv:hep-ex/0411038 .
- P. Adamson et al. (The MINOS collaboration), Improved search for muon-neutrino to electron-neutrino oscillations in MINOS, Phys. Rev. Lett. 107, 181802 (2011), arXiv:1108.0015 [hep-ex] .
- M. A. Acero et al. (The NOvA collaboration), First Measurement of Neutrino Oscillation Parameters using Neutrinos and Antineutrinos by NOvA, Phys. Rev. Lett. 123, 151803 (2019), arXiv:1906.04907 [hep-ex] .
- K. Abe et al. (The T2K collaboration), Constraint on the matter–antimatter symmetry-violating phase in neutrino oscillations, Nature 580, 339 (2020), [Erratum: Nature 583, E16 (2020)], arXiv:1910.03887 [hep-ex] .
- K. Eguchi et al. (The KamLAND collaboration), First results from KamLAND: Evidence for reactor anti-neutrino disappearance, Phys. Rev. Lett. 90, 021802 (2003), arXiv:hep-ex/0212021 .
- Y. Abe et al. (The Double Chooz collaboration), Indication of Reactor ν¯esubscript¯𝜈𝑒\bar{\nu}_{e}over¯ start_ARG italic_ν end_ARG start_POSTSUBSCRIPT italic_e end_POSTSUBSCRIPT Disappearance in the Double Chooz Experiment, Phys. Rev. Lett. 108, 131801 (2012), arXiv:1112.6353 [hep-ex] .
- F. P. An et al. (The Daya Bay collaboration), Observation of electron-antineutrino disappearance at Daya Bay, Phys. Rev. Lett. 108, 171803 (2012), arXiv:1203.1669 [hep-ex] .
- T. K. Gaisser, T. Stanev, and G. Barr, Cosmic Ray Neutrinos in the Atmosphere, Phys. Rev. D 38, 85 (1988).
- P. A. Schreiner, J. Reichenbacher, and M. C. Goodman, Interpretation of the Underground Muon Charge Ratio, Astropart. Phys. 32, 61 (2009), arXiv:0906.3726 [hep-ph] .
- G. Barr, T. K. Gaisser, and T. Stanev, Flux of Atmospheric Neutrinos, Phys. Rev. D 39, 3532 (1989).
- H.-s. Lee, A New Calculation of Atmospheric Neutrino Flux, Nuovo Cim. B 105, 883 (1990).
- P. Lipari, Lepton spectra in the earth’s atmosphere, Astropart. Phys. 1, 195 (1993).
- S. Hayakawa, Polarization of Cosmic-Ray μ𝜇\muitalic_μ Mesons: Theory, Phys. Rev. 108, 1533 (1957).
- G. W. Clark and J. Hersil, Polarization of Cosmic-Ray μ𝜇\muitalic_μ Mesons: Experiment, Phys. Rev. 108, 1538 (1957).
- J. L. Osborne, Cosmic-ray muon polarization studies of the K/π𝜋\piitalic_π ratio, Nuovo Cim. 32, 816 (1964).
- R. Turner, C. Ankenbrandt, and R. Larsen, Polarization of Cosmic-Ray Muon, Phys. Rev. D 4, 17 (1971).
- Y. Fukuda et al. (The Super-Kamiokande collaboration), The Super-Kamiokande detector, Nucl. Instrum. Meth. A 501, 418 (2003).
- K. Abe et al. (The Super-Kamiokande collaboration), Calibration of the Super-Kamiokande Detector, Nucl. Instrum. Meth. A 737, 253 (2014), arXiv:1307.0162 [physics.ins-det] .
- J. F. Beacom and M. R. Vagins, GADZOOKS! Anti-neutrino spectroscopy with large water Cherenkov detectors, Phys. Rev. Lett. 93, 171101 (2004), arXiv:hep-ph/0309300 .
- K. Abe et al. (The Super-Kamiokande collaboration), First gadolinium loading to Super-Kamiokande, Nucl. Instrum. Meth. A 1027, 166248 (2022), arXiv:2109.00360 [physics.ins-det] .
- S. Yamada et al. (The Super-Kamiokande collaboration), Commissioning of the new electronics and online system for the Super-Kamiokande experiment, IEEE Trans. Nucl. Sci. 57, 428 (2010).
- Z. Conner, A study of solar neutrinos using the Super-Kamiokande detector, Ph.D. thesis, University of Maryland (1997).
- S. Desai, High energy neutrino astrophysics with Super-Kamiokande, Ph.D. thesis, Boston university (2004).
- M. Smy, Low Energy Event Reconstruction and Selection in Super-Kamiokande-III, in 30th International Cosmic Ray Conference (2007).
- J. Hosaka et al. (The Super-Kamiokande collaboration), Solar neutrino measurements in super-Kamiokande-I, Phys. Rev. D 73, 112001 (2006), arXiv:hep-ex/0508053 .
- J. P. Cravens et al. (The Super-Kamiokande collaboration), Solar neutrino measurements in Super-Kamiokande-II, Phys. Rev. D 78, 032002 (2008), arXiv:0803.4312 [hep-ex] .
- K. Abe et al. (The Super-Kamiokande collaboration), Solar neutrino results in Super-Kamiokande-III, Phys. Rev. D 83, 052010 (2011), arXiv:1010.0118 [hep-ex] .
- K. Abe et al. (The Super-Kamiokande collaboration), Solar Neutrino Measurements in Super-Kamiokande-IV, Phys. Rev. D 94, 052010 (2016), arXiv:1606.07538 [hep-ex] .
- D. Mei and A. Hime, Muon-induced background study for underground laboratories, Phys. Rev. D 73, 053004 (2006), arXiv:astro-ph/0512125 .
- G. Guillian et al. (The Super-Kamiokande collaboration), Observation of the anisotropy of 10-TeV primary cosmic ray nuclei flux with the super-kamiokande-I detector, Phys. Rev. D 75, 062003 (2007), arXiv:astro-ph/0508468 .
- V. A. Kudryavtsev, E. V. Korolkova, and N. J. C. Spooner, Narrow muon bundles from muon pair production in rock, Phys. Lett. B 471, 251 (1999), arXiv:hep-ph/9911493 .
- V. A. Kudryavtsev, Muon simulation codes MUSIC and MUSUN for underground physics, Comput. Phys. Commun. 180, 339 (2009), arXiv:0810.4635 [physics.comp-ph] .
- L. Michel, Interaction between four half spin particles and the decay of the μ𝜇\muitalic_μ meson, Proc. Phys. Soc. A 63, 514 (1950).
- C. Bouchiat and L. Michel, Theory of μ𝜇\muitalic_μ-Meson Decay with the Hypothesis of Nonconservation of Parity, Phys. Rev. 106, 170 (1957).
- T. Kinoshita and A. Sirlin, Muon Decay with Parity Nonconserving Interactions and Radiative Corrections in the Two-Component Theory, Phys. Rev. 107, 593 (1957a).
- T. Kinoshita and A. Sirlin, Polarization of Electrons in Muon Decay with General Parity-Nonconserving Interactions, Phys. Rev. 108, 844 (1957b).
- E. Fermi and E. Teller, The capture of negative mesotrons in matter, Phys. Rev. 72, 399 (1947).
- F. Frank, Hypothetical Alternative Energy Sources for the “Second Meson” Events, Nature 160, 525– (1947).
- V. Gilinsky and J. Mathews, Decay of Bound Muons, Phys. Rev. 120, 1450 (1960).
- A. Czarnecki, X. Garcia i Tormo, and W. J. Marciano, Muon decay in orbit: spectrum of high-energy electrons, Phys. Rev. D 84, 013006 (2011), arXiv:1106.4756 [hep-ph] .
- P. Percival et al., The detection of muonium in water, Chem. Phys. Lett. 39, 333 (1976).
- M. Demeur, On the anomalous L-X-ray yield in light mesic atoms, Nucl. Phys. 1, 516 (1956).
- V. R. Akylas and P. Vogel, Cascade depolarization of the negative muons, Hyperfine Interact. 3, 77 (1977).
- R. A. Ferrell, Auger Effect in Mesonic Atoms, Phys. Rev. Lett. 4, 425 (1960).
- R. A. Swanson, Depolarization of Positive Muons in Condensed Matter, Phys. Rev. 112, 580 (1958).
- D. Walker, Y. Jean, and D. Fleming, Muonium atoms and intraspur processes in water, J. Chem. Phys. 70, 4534 (1978).
- P. Percival, E. Roduner, and H. Fischer, Radiolysis effects in muonium chemistry, Chem. Phys. 32, 353 (1978).
- J. I. Friedman and V. L. Telegdi, Nuclear Emulsion Evidence for Parity Nonconservation in the Decay Chain π+→μ+→e+→superscript𝜋superscript𝜇→superscript𝑒\pi^{+}\to\mu^{+}\to e^{+}italic_π start_POSTSUPERSCRIPT + end_POSTSUPERSCRIPT → italic_μ start_POSTSUPERSCRIPT + end_POSTSUPERSCRIPT → italic_e start_POSTSUPERSCRIPT + end_POSTSUPERSCRIPT, Phys. Rev. 106, 1290 (1957).
- G. Burbidge and H. Bordem, The Mesonic Auger Effect, Phys. Rev. 89, 189 (1953).
- Y. Eisenberg and D. Kessler, On the μ𝜇\muitalic_μ-Mesonic Atoms, Nuovo Cim 19, 1195 (1961).
- R. A. Mann and M. E. Rose, Depolarization of Negative mu Mesons, Phys. Rev. 121, 293 (1961).
- Überall, H., Hyperfine Splitting Effects in the Capture of Polarized μ−superscript𝜇\mu^{-}italic_μ start_POSTSUPERSCRIPT - end_POSTSUPERSCRIPT Mesons, Phys. Rev. 114, 1640 (1959).
- V. A. Dzhrbashyan, DEPOLARIZATION OF THE NEGATIVE MUON IN MESIC-ATOM TRANSITIONS, Sov. Phys. JTEP 9, 188 (1959).
- I. M. Shmushkevich, DEPOLARIZATION OF μ−superscript𝜇\mu^{-}italic_μ start_POSTSUPERSCRIPT - end_POSTSUPERSCRIPT MESONS IN FORMATION OF μ𝜇\muitalic_μ-MESIC ATOMS, Sov. Phys. JTEP 9, 449 (1959).
- A. Ignatenko, Processes of depolarization of negative muons, Nucl. Phys. 23, 75 (1961).
- T. Suzuki, D. F. Measday, and J. P. Roalsvig, Total Nuclear Capture Rates for Negative Muons, Phys. Rev. C 35, 2212 (1987).
- Y. Fukuda et al. (The Super-Kamiokande collaboration), Measurement of the flux and zenith angle distribution of upward through going muons by Super-Kamiokande, Phys. Rev. Lett. 82, 2644 (1999), arXiv:hep-ex/9812014 .
- Y. Zhang et al. (The Super-Kamiokande collaboration), First measurement of radioactive isotope production through cosmic-ray muon spallation in Super-Kamiokande IV, Phys. Rev. D 93, 012004 (2016), arXiv:1509.08168 [hep-ex] .
- M. Shinoki et al. (The Super-Kamiokande collaboration), Measurement of the cosmogenic neutron yield in Super-Kamiokande with gadolinium loaded water, Phys. Rev. D 107, 092009 (2023), arXiv:2212.10801 [hep-ex] .
- M. E. Plett and S. E. Sobottka, Effects of the giant resonance on the energy spectra of neutrons emitted following muon capture in c-12 and o-16, Phys. Rev. C 3, 1003 (1971).
- D. F. Measday, The nuclear physics of muon capture, Phys. Rept. 354, 243 (2001).
- M. Nakahata et al. (The Super-Kamiokande collaboration), Calibration of Super-Kamiokande using an electron linac, Nucl. Instrum. Meth. A 421, 113 (1999), arXiv:hep-ex/9807027 .
- E. Blaufuss et al. (The Super-Kamiokande collaboration), N-16 as a calibration source for Super-Kamiokande, Nucl. Instrum. Meth. A 458, 638 (2001), arXiv:hep-ex/0005014 .
- K. Abe et al. (The Super-Kamiokande collaboration), Solar neutrino measurements using the full data period of Super-Kamiokande-IV (2023), arXiv:2312.12907 [hep-ex] .
- H. Daniel, COULOMB CAPTURE OF MUONS AND ATOMIC RADIUS, Z. Phys. A 291, 29 (1979).
- T. Von Egidy and F. J. Hartmann, AVERAGE MUONIC COULOMB CAPTURE PROBABILITIES FOR 65 ELEMENTS, Phys. Rev. A 26, 2355 (1982).
- R. L. Workman et al. (Particle Data Group), Review of Particle Physics, PTEP 2022, 083C01 (2022).
- M. Zechmeister and M. K’́urster, The generalised Lomb-Scargle periodogram A new formalism for the floating-mean and Keplerian periodograms, A&A 496, 577 (2009), arXiv:0901/2573 [astro-ph.IM] .
- S. Matsuno et al., COSMIC RAY MUON SPECTRUM UP TO 20-TEV AT 89-degrees ZENITH ANGLE, Phys. Rev. D 29, 1 (1984).
- M. Yamada et al. (The Kamiokande collaboration), Measurements of the charge ratio and polarization of 1.2-TeV/c cosmic ray muons with the KAMIOKANDE-II detector, Phys. Rev. D 44, 617 (1991).
- S. Haino et al., Measurements of primary and atmospheric cosmic - ray spectra with the BESS-TeV spectrometer, Phys. Lett. B 594, 35 (2004), arXiv:astro-ph/0403704 .
- P. Achard et al. (The L3 collaboration), Measurement of the atmospheric muon spectrum from 20-GeV to 3000-GeV, Phys. Lett. B 598, 15 (2004), arXiv:hep-ex/0408114 .
- P. Adamson et al. (The MINOS collaboration), Measurement of the atmospheric muon charge ratio at TeV energies with MINOS, Phys. Rev. D 76, 052003 (2007), arXiv:0705.3815 [hep-ex] .
- V. Khachatryan et al. (The CMS collaboration), Measurement of the Charge Ratio of Atmospheric Muons with the CMS Detector, Phys. Lett. B 692, 83 (2010), arXiv:1005.5332 [hep-ex] .
- N. Agafonova et al. (The OPERA collaboration), Measurement of the TeV atmospheric muon charge ratio with the complete OPERA data set, Eur. Phys. J. C 74, 2933 (2014), arXiv:1403.0244 [hep-ex] .
- C. Johnshon, Polarization of Cosmic-Ray Muons at Sea Level, Phys. Rev. 122, 1883 (1961).
- A. Alikhanyan, T. Astiani, and E. Matevosyan, INVESTIGATION OF THE POLARIZATION OF COSMIC-RAY μ𝜇\muitalic_μ MESONS, Sov. Phys. JTEP 15, 90 (1962).
- B. Dolgoshein, B. Luchkov, and V. Ushakov, Polarization of Low-Energy Cosmic Ray Muons at Sea Level, Sov. Phys. JTEP 15, 654 (1962).
- S. Sen Gupta and M. Sinhat, Decay Asymmetry of Cosmic Ray Muons, Proc. Phys. Soc. 79, 1183 (1962).
- S. Mine, Systematic measurement of the spin polarization of the cosmic ray muons, Ph.D. thesis, The university of Tokyo (1996).
- N. Globus and R. D. Blandford, The Chiral Puzzle of Life, Astrophys. J. Lett. 895, L11 (2020), arXiv:2002.12138 [q-bio.OT] .
- N. Globus, A. Fedynitch, and R. D. Blandford, Polarized radiation and the Emergence of Biological Homochirality on Earth and Beyond, Astrophys. J. 910, 85 (2021), arXiv:2101.00530 [astro-ph.EP] .
- N. Brene, L. Egardt, and B. Qvist, On the kμ𝜇\muitalic_μ3 and ke3 decay modes, Nucl. Phys. 22, 553 (1961).
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