On the Possibility of Observing Diurnal Variations in the Count Rate of Dark Photons Using Multicathode Counters


The possibility of observing diurnal variations in the count rate of dark photons using multicathode counters is considered. It is shown that with detectors placed in three mines at different latitudes, Pyhäsalmi (Finland), BNO (Russia), and INO (India), and with measurements performed at three different detector orientations, a set of data can be obtained that is complete enough to allow determining the dark photon field vector. The results of the latest measurements with counters we developed are reported.

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  1. 1

    E. Aprile et al. (XENON Collab.), “Dark matter search results from a one ton-year exposure of XENON1T,” Phys. Rev. Lett. 121, 111302 (2018).

    ADS  Article  Google Scholar 

  2. 2

    D. S. Akerib et al. (LUX Collab.), “Results from a search for dark matter in the complete LUX exposure,” Phys. Rev. Lett. 118, 021303 (2017).

    ADS  Article  Google Scholar 

  3. 3

    P. Agnes et al. (DarkSide Collab.), “DarkSide-50 532-day dark matter search with low-radioactivity argon,” Phys. Rev. D 98, 102006 (2018).

    ADS  Article  Google Scholar 

  4. 4

    L. B. Okun, “Limits on electrodynamics: paraphotons?” J. Exp. Theor. Phys. 56, 502 (1982).

    Google Scholar 

  5. 5

    B. Holdom, “Two U(1)’s and ϵ charge shifts,” Phys. Lett. B 166, 196 (1986).

    ADS  Article  Google Scholar 

  6. 6

    S. N. Gninenko, “Search for MeV dark photons in a light-shining-through-walls experiment at CERN,” Phys. Rev. D. 89, 075008 (2014).

    ADS  Article  Google Scholar 

  7. 7

    D. Banerjee et al. (NA64 Collab.), “Improved limits on a hypothetical X(16.7) boson and a dark photon decaying into e + e pairs,” Phys. Rev. D 101, 071101(R) (2020).

  8. 8

    D. Horns, J. Jaeckel, A. Lindner, A. Lobanov, J. Redondo, and A. Ringwald, “Searching for WISPy cold dark matter with a dish antenna,” J. Cosmol. Astropart. Phys. 04, 016 (2013).

  9. 9a

    A. Kopylov, I. Orekhov, and V. Petukhov, “A Multi-cathode counter in a single-electron counting mode,” Nucl. Instrum. Methods Phys. Res., Sect. A 910, 164 (2018);

    Google Scholar 

  10. 9b

    A. Kopylov, I. Orekhov, and V. Petukhov, “Method of search for hidden photons of cold dark matter using a multi-cathode counter, Phys. At. Nucl. 82, 1317 (2019).

    Article  Google Scholar 

  11. 10

    R.B. Cairns, and J.A.R. Samson, “Metal photocathodes as secondary standards for absolute intensity measurements in the vacuum ultraviolet,” J. Opt. Soc. Am. 56, 1568 (1966).

    ADS  Article  Google Scholar 

  12. 11

    I. M. Bloch, R. Essig, K. Tobioka, T. Volansky, and Yu Tien-Tien, “Searching for dark absorption with direct detection experiments,” J. High Energy Phys. 06, 87 (2017).

    ADS  Article  Google Scholar 

  13. 12

    J. C. Stover, Optical Scattering: Measurement and Analysis, 2nd ed. (SPIE Press, 1995).

    Google Scholar 

  14. 13

    M. Settimo (DAMIC and DAMIC-M Collab.), “Search for low-mass dark matter with the DAMIC experiment.” arXiv:2003.09497.

  15. 14

    J. Suzuki, T. Horie, Y. Inoue, and M. Minowa, “Experimental search for hidden photon CDM in the eV mass range with a dish antenna,” J. Cosmol. Astropart. Phys. 09, 042 (2015).

  16. 15

    A. Kopylov, I. Orekhov, and V. Petukhov, “Results from a hidden photon dark matter search using a multi-cathode counter,” J. Cosmol. Astropart. Phys. 07, 008 (2019).

  17. 16

    A. Andrianavalomahefa et al. (FUNK Experiment Collab.), “Limits from the Funk experiment on the mixing strength of hidden-photon dark matter in the visible and near-ultraviolet wavelength range.” arXiv: 2003.13144.

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The authors are grateful to G.I. Rubtsov for helpful discussions.


The work was supported within the framework of the INR Basic Research program.

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Correspondence to A. V. Kopylov.

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Translated by M. Potapov

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Kopylov, A.V., Orekhov, I.V. & Petukhov, V.V. On the Possibility of Observing Diurnal Variations in the Count Rate of Dark Photons Using Multicathode Counters. Phys. Part. Nuclei 52, 31–38 (2021). https://doi.org/10.1134/S1063779621010032

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