- Open Access
Explanation of the seasonal variation of cosmic multiple muon events observed with the NOvA Near Detector
Phys. Rev. D 113, 012001 – Published 7 January, 2026
DOI: https://doi.org/10.1103/6djf-6bn5
Abstract
The flux of cosmic ray muons at the Earth’s surface exhibits seasonal variations due to changes in the temperature of the atmosphere affecting the production and decay of mesons in the upper atmosphere. Using 1473 live days of data collected by the NuMI Off-axis Appearance (NOvA) Near Detector during 2018–2022, we studied the seasonal pattern in the multiple-muon event rate. The data confirm an anticorrelation between the multiple-muon event rate and effective atmospheric temperature, consistent across all the years of data. Previous analyses from MINOS and NOvA saw a similar anticorrelation but did not include an explanation. We find that this anticorrelation is driven by altitude–geometry effects as the average muon production height changes with the season. This has been studied with a CORSIKA cosmic ray simulation package by varying atmospheric parameters, and provides an explanation to a longstanding discrepancy between the seasonal phases of single and multiple-muon events.
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References (41)
- P. H. Barrett, L. M. Bollinger, G. Cocconi, Y. Eisenberg, and K. Greisen, Rev. Mod. Phys. 24, 133 (1952).
- N. Sherman, Phys. Rev. 93, 208 (1954).
- G. C. Castagnoli and M. A. Dodero, Il Nuovo Cimento B 51, 525 (1967).
- A. Fenton, R. Jacklyn, and R. Taylor, Nuovo Cimento B 22, 285 (1961).
- Y. Andreyev et al. (Baksan Collaboration), in Proceedings of the 20th ICRC (Nauka, Moscow, 1987), Vol. 4, p. 270.
- M. Ambrosio et al. (MACRO Collaboration), Astropart. Phys. 7, 109 (1997).
- A. Bouchta (AMANDA Collaboration), in Proceedings of the 26th ICRC, Salt Lake City, Utah, USA (American Institute of Physics (AIP), 1999), Vol. 2, pp. 108–111.
- G. Bellini et al. (Borexino Collaboration), J. Cosmol. Astropart. Phys. 05 (2012) 015.
- M. Selvi et al. (LVD Collaboration), in Proceedings of the 31st ICRC, Lodz, Poland (Local Organising Committee of ICRC, 2009).
- P. Desiati et al. (IceCube Collaboration), in Proceedings of the 32nd ICRC, Beijing, China (Institute of High Energy Physics (IHEP), 2011), Vol. 1, pp. 78–81.
- S. Osprey et al. (MINOS Collaboration), Geophys. Res. Lett. 36, L05809 (2009).
- P. Adamson et al. (MINOS Collaboration), Phys. Rev. D 81, 012001 (2010).
- P. Adamson et al. (MINOS Collaboration), Phys. Rev. D 90, 012010 (2014).
- T. Abrahao et al. (Double Chooz Collaboration), J. Cosmol. Astropart. Phys. 02 (2017) 017.
- F. P. An et al. (Daya Bay Collaboration), J. Cosmol. Astropart. Phys. 01 (2018) 001.
- P. Adamson et al. (MINOS Collaboration), Phys. Rev. D 91, 112006 (2015).
- M. A. Acero et al. (NOvA Collaboration), Phys. Rev. D 99, 122004 (2019).
- D. Heck et al., CORSIKA: A Monte Carlo code to simulate extensive air showers, Report No. FORSCHUNGSZENTRUM KARLSRUHE FZKA-6019, 1998.
- D. S. Ayres et al. (NOvA Collaboration), The NOvA technical design report, FERMI-LAB-DESIGN-2007-01, 2007.
- S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
- P. Zyla et al. (Particle Data Group), Prog. Theor. Exp. Phys. 2020, 083C01 (2020).
- National Centers for Environmental Prediction (NCEP, Global Data Assimilation System (GDAS) temperature data, https://www.ncei.noaa.gov/products/weather-climate-models/global-data-assimilation (2024).
- S. Agostinelli et al., Nucl. Instrum. Methods 506, 250 (2003).
- J. Allison et al., IEEE Trans. Nucl. Sci. 53, 270 (2006).
- J. Allison et al., Nucl. Instrum. Methods 835, 186 (2016).
- M. A. Acero et al. (NOvA Collaboration), Phys. Rev. D 102, 012004 (2020).
- E. Grashorn et al., Astropart. Phys. 33, 140 (2010).
- H. Hersbach et al., Q. J. R. Meteorol. Soc. 146, 1999 (2020).
- D. Dee et al., Q. J. R. Meteorol. Soc. 137, 553 (2011).
- D. Ballard, Pattern Recogn. 13, 111 (1981).
- C. Forbes, M. Evans, N. Hastings, and B. Peacock, Statistical Distributions, 4th ed. (Wiley, Hoboken, NJ, 2011), Section on Erlang distribution.
- R. P. Kokoulin et al., J. Phys. Conf. Ser. 675, 032034 (2016).
- M. Ambrosio et al., Nucl. Instrum. Methods Phys. Res., Sect. A 486, 663 (2002).
- F. Ronga, EPJ Web Conf. 136, 05004 (2017).
- T. K. Gaisser and S. Verpoest, Astropart. Phys. 133, 102630 (2021).
- T. Gaisser and S. Verpoest, Proc. Sci., ICRC2021 (2021) 1202 [arXiv:2107.12913].
- E. A. Yurina et al., J. Phys. Conf. Ser. 1189, 012010 (2019).
- E. Guan and M. Goodman, arXiv:2310.10009.
- M. A. Acero et al. (NOvA Collaboration), Phys. Rev. D 104, 012014 (2021).
- N. V. Tolkacheva et al., Bull. Russian Acad. Sci. 75, 377 (2011).
- K. Arunbabu et al., Astropart. Phys. 94, 22 (2017).