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High-precision search for dark photon dark matter with the Parkes Pulsar Timing Array
Phys. Rev. Research 4, L012022 – Published 22 February, 2022
DOI: https://doi.org/10.1103/PhysRevResearch.4.L012022
Abstract
The nature of dark matter remains obscure in spite of decades of experimental efforts. The mass of dark matter candidates can span a wide range, and its coupling with the Standard Model sector remains uncertain. All these unknowns make the detection of dark matter extremely challenging. Ultralight dark matter, with eV, is proposed to reconcile the disagreements between observations and predictions from simulations of small-scale structures in the cold dark matter paradigm while remaining consistent with other observations. Because of its large de Broglie wavelength and large local occupation number within galaxies, ultralight dark matter behaves like a coherently oscillating background field with an oscillating frequency dependent on its mass. If the dark matter particle is a spin-1 dark photon, such as the or gauge boson, it can induce an external oscillating force and lead to displacements of test masses. Such an effect would be observable in the form of periodic variations in the arrival times of radio pulses from highly stable millisecond pulsars. In this study, we search for evidence of ultralight dark photon dark matter (DPDM) using 14-year high-precision observations of 26 pulsars collected with the Parkes Pulsar Timing Array. While no statistically significant signal is found, we place constraints on coupling constants for the and DPDM. Compared with other experiments, the limits on the dimensionless coupling constant achieved in our study are improved by up to two orders of magnitude when the dark photon mass is smaller than eV ( eV) for the () scenario.
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References (58)
- N. A. Bahcall, J. P. Ostriker, S. Perlmutter, and P. J. Steinhardt, The cosmic triangle: Revealing the state of the universe, Science 284, 1481 (1999).
- D. H. Weinberg, J. S. Bullock, F. Governato, R. K. de Naray, and A. H. G. Peter, Cold dark matter: Controversies on small scales, Proc. Nat. Acad. Sci. U.S.A. 112, 12249 (2015).
- T. K. Chan, D. Kereš, J. Onorbe, P. F. Hopkins, A. L. Muratov, C.-A. Faucher-Giguere, and E. Quataert, The impact of baryonic physics on the structure of dark matter haloes: The view from the FIRE cosmological simulations, Mon. Not. R. Astron. Soc. 454, 2981 (2015).
- P. Bode, J. P. Ostriker, and N. Turok, Halo formation in warm dark matter models, Astrophys. J. 556, 93 (2001).
- S. Tulin and H. B. Yu, Dark matter self-interactions and small scale structure, Phys. Rept. 730, 1 (2018).
- W. Hu, R. Barkana, and A. Gruzinov, Fuzzy Cold Dark Matter: The Wave Properties of Ultralight Particles, Phys. Rev. Lett. 85, 1158 (2000).
- C. P. Burgess, J. P. Conlon, L.-Y. Hung, C. H. Kom, A. Maharana, and F. Quevedo, Continuous global symmetries and hyperweak interactions in string compactifications, J. High Energy Phys. 07 (2008) 073.
- M. Goodsell, J. Jaeckel, J. Redondo, and A. Ringwald, Naturally light hidden photons in LARGE volume string compactifications, J. High Energy Phys. 11 (2009) 027.
- M. Cicoli, M. Goodsell, J. Jaeckel, and A. Ringwald, Testing string vacua in the lab: From a hidden CMB to dark forces in flux compactifications, J. High Energy Phys. 07 (2011) 114.
- In order to give a mass to the dark photon, a Higgs boson in the dark section may be introduced. Since such a Higgs is also very weakly coupled to the Standard Model sector, its existence is challenging to be tested. Furthermore, if one pushes the dark Higgs coupling to be very small, takes its vacuum expectation value to be very large, meanwhile maintains the product of these two parameters to be finite, we reach the Stueckelberg limit where the dark Higgs is very heavy and effectively decoupled from the rest of the theory, except the dark photon mass it generates.
- The occupation number is , where is the local dark matter energy density.
- H.-Y. Schive, T. Chiueh, and T. Broadhurst, Cosmic structure as the quantum interference of a coherent dark wave, Nat. Phys. 10, 496 (2014).
- H.-Y. Schive, M.-H. Liao, T.-P. Woo, S.-K. Wong, T. Chiueh, T. Broadhurst, and W. Y. P. Hwang, Understanding the Core-Halo Relation of Quantum Wave Dark Matter from 3D Simulations, Phys. Rev. Lett. 113, 261302 (2014).
- J. Zhang, Y.-L. S. Tsai, J.-L. Kuo, K. Cheung, and M.-C. Chu, Ultralight axion dark matter and its impact on dark halo structure in N-body simulations, Astrophys. J. 853, 51 (2018).
- J. F. Navarro, C. S. Frenk, and S. D. M. White, A universal density profile from hierarchical clustering, Astrophys. J. 490, 493 (1997).
- L. Hui, J. P. Ostriker, S. Tremaine, and E. Witten, Ultralight scalars as cosmological dark matter, Phys. Rev. D 95, 043541 (2017).
- X. Cui, A. Abdukerim, W. Chen, X. Chen, Y. Chen, B. Dong, D. Fang, C. Fu, K. Giboni, F. Giuliani et al. (PandaX-II Collaboration), Dark Matter Results from 54-Ton-Day Exposure of PandaX-II Experiment, Phys. Rev. Lett. 119, 181302 (2017).
- D. S. Akerib, S. Alsum, H. M. Araújo, X. Bai, A. J. Bailey, J. Balajthy, P. Beltrame, E. P. Bernard, A. Bernstein, T. P. Biesiadzinski et al. (LUX Collaboration), Results from a Search for Dark Matter in the Complete LUX Exposure, Phys. Rev. Lett. 118, 021303 (2017).
- E. Aprile, J. Aalbers, F. Agostini, M. Alfonsi, L. Althueser, F. D. Amaro, M. Anthony, F. Arneodo, L. Baudis, B. Bauermeister et al. (XENON Collaboration), Dark Matter Search Results from a One Ton-Year Exposure of XENON1T, Phys. Rev. Lett. 121, 111302 (2018).
- J. Bergé, P. Brax, G. Métris, M. Pernot-Borràs, P. Touboul, and J.-P. Uzan, MICROSCOPE Mission: First Constraints on the Violation of the Weak Equivalence Principle by a Light Scalar Dilaton, Phys. Rev. Lett. 120, 141101 (2018).
- P. W. Graham, D. E. Kaplan, J. Mardon, S. Rajendran, W. A. Terrano, Dark matter direct detection with accelerometers, Phys. Rev. D 93, 075029 (2016).
- H.-K. Guo, Y. Ma, J. Shu, X. Xue, Q. Yuan, and Y. Zhao, Detecting dark photon dark matter with Gaia-like astrometry observations, J. Cosmol. Astropart. Phys. 05 (2019) 015.
- E. Armengaud, N. Palanque-Delabrouille, C. Yeche, D. J. E. Marsh, and J. Baur, Constraining the mass of light bosonic dark matter using SDSS Lyman- forest, Mon. Not. R. Astron. Soc. 471, 4606 (2017).
- N. K. Porayko, X. Zhu, Y. Levin, L. Hui, G. Hobbs, A. Grudskaya, K. Postnov, M. Bailes, N. D. R. Bhat, W. Coles et al. (PPTA Collaboration), Parkes pulsar timing array constraints on ultralight scalar-field dark matter, Phys. Rev. D 98, 102002 (2018).
- I. De Martino, T. Broadhurst, S.-H. H. Tye, T. Chiueh, H.-Y. Schive, and R. Lazkoz, Recognizing Axionic Dark Matter by Compton and De Broglie Scale Modulation of Pulsar Timing, Phys. Rev. Lett. 119, 221103 (2017).
- A. Pierce, K. Riles, and Y. Zhao, Searching for Dark Photon Dark Matter with Gravitational-Wave Detectors, Phys. Rev. Lett. 121, 061102 (2018).
- H.-K. Guo, K. Riles, F.-W. Yang, and Y. Zhao, Searching for dark photon dark matter in LIGO O1 data, Commun. Phys. 2, 155 (2019).
- R. Abbott, T. D. Abbott, F. Acernese, K. Ackley, C. Adams, N.Adhikari, R. X. Adhikari, V. B. Adya, C. Affeldt, D. Agarwal et al. (LIGO Scientific, Virgo and KAGRA), Constraints on dark photon dark matter using data from LIGO's and Virgo's third observing run, arXiv:2105.13085.
- Recently, the NANOGrav team claimed a detection of a common-spectrum stochastic process in their 12.5-yr data set [30]. The NANOGrav “feature,' which is modeled as a power-law spectrum in the low-frequency range, is different from the monochromatic signal induced by the DPDM studied in this work.
- Z. Arzoumanian, P. T. Baker, H. Blumer, B. Becsy, A. Brazier, P. R. Brook, S. Burke-Spolaor, S. Chatterjee, S. Chen, J. M. Cordes et al. (NANOGrav collaboration), The NANOGrav 12.5 yr data set: Search for an isotropic stochastic gravitational-wave background, Astrophys. J. Lett. 905, L34 (2020).
- R. N. Manchester, G. Hobbs, M. Bailes, W. A. Coles, W. van Straten, M. J. Keith, R. M. Shannon, N. D. R. Bhat, A. Brown, S. G. Burke-Spolaor et al., The Parkes Pulsar Timing Array Project, Publ. Astron. Soc. Aust. 30, e017 (2013).
- M. Kerr, D. J. Reardon, G. Hobbs, R. M. Shannon, R. N. Manchester, S. Dai, C. J. Russell, S.-B. Zhang, W. van Straten, S. Osłowski et al., The Parkes Pulsar Timing Array Project: Second data release, Publ. Astron. Soc. Aust. 37, e020 (2020).
- R. M. Shannon, V. Ravi, L. T. Lentati, P. D. Lasky, G. Hobbs, M. Kerr, R. N. Manchester, W. A. Coles, Y. Levin, M. Bailes et al., Gravitational waves from binary supermassive black holes missing in pulsar observations, Science 349, 1522 (2015).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.4.L012022 for the properties of the pulsar used in the analyses, as well as the details of the noise model, the statistical properties of the DPDM field, the parameter setting for the Bayesian analyses, and results of the Bayesian search.
- https://doi.org/10.25919/5db90a8bdeb59
- G. B. Hobbs, R. T. Edwards, and R. N. Manchester, TEMPO2, a new pulsar-timing package-I. An overview, Mon. Not. R. Astron. Soc. 369, 655 (2006).
- R. T. Edwards, G. B. Hobbs, and R. N. Manchester, TEMPO2, a new pulsar timing package-II. The timing model and precision estimates, Mon. Not. R. Astron. Soc. 372, 1549 (2006).
- J. A. Ellis, M. Vallisneri, S. R. Taylor, and P. T. Baker, ENTERPRISE: Enhanced Numerical Toolbox Enabling a Robust PulsaR Inference SuitE, Zenodo (2020), doi: 10.5281/zenodo.4059815.
- J. Ellis and R. van Haasteren, jellis18/PTMCMCSampler: Official Release, Zenodo (2017), doi: 10.5281/zenodo.1037579.
- J. Buchner, A. Georgakakis, K. Nandra, L. Hsu, C. Rangel, M. Brightman, A. Merloni, M. Salvato, J. Donley, and D. Kocevski, X-ray spectral modelling of the AGN obscuring region in the CDFS: Bayesian model selection and catalogue, Astron. Astrophys. 564, A125 (2014).
- R. van Haasteren and Y. Levin, Understanding and analysing time-correlated stochastic signals in pulsar timing, Mon. Not. R. Astron. Soc. 428, 1147 (2012).
- R. van Haasteren and M. Vallisneri, Low-rank approximations for large stationary covariance matrices, as used in the Bayesian and generalized-least-squares analysis of pulsar-timing data, Mon. Not. R. Astron. Soc. 446, 1170 (2014).
- R. N. Caballero, K. J. Lee, L. Lentati, G. Desvignes, D. J. Champion, J. P. W. Verbiest, G. H. Janssen, B. W. Stappers, M. Kramer, P. Lazarus et al., The noise properties of 42 millisecond pulsars from the European Pulsar Timing Array and their impact on gravitational-wave searches, Mon. Not. R. Astron. Soc. 457, 4421 (2016).
- L. Lentati, R. M. Shannon, W. A. Coles, J. P. W. Verbiest, R. van Haasteren, J. A. Ellis, R. N. Caballero, R. N. Manchester, Z. Arzoumanian, S. Babak et al., From spin noise to systematics: Stochastic processes in the first International Pulsar Timing Array data release, Mon. Not. R. Astron. Soc. 458, 2161 (2016).
- X. P. You, G. Hobbs, W. A. Coles, R. N. Manchester, R. Edwards, M. Bailes, J. Sarkissian, J. P. W. Verbiest, W. Van Straten, A. Hotan et al., Dispersion measure variations and their effect on precision pulsar timing, Mon. Not. R. Astron. Soc. 378, 493 (2007).
- M. J. Keith, W. Coles, R. M. Shannon, G. B. Hobbs, R. N. Manchester, M. Bailes, N. D. R. Bhat, S. Burke-Spolaor, D. J. Champion, A. Chaudhary et al., Measurement and correction of variations in interstellar dispersion in high-precision pulsar timing, Mon. Not. R. Astron. Soc. 429, 2161 (2012).
- L. Lentati, P. Alexander, M. P. Hobson, F. Feroz, R. van Haasteren, K. J. Lee, and R. M. Shannon, TEMPONEST: A Bayesian approach to pulsar timing analysis, Mon. Not. R. Astron. Soc. 437, 3004 (2013).
- R. Catena and P. Ullio, A novel determination of the local dark matter density, J. Cosmol. Astropart. Phys. 08 (2010) 004.
- A. Khmelnitsky and V. Rubakov, Pulsar timing signal from ultralight scalar dark matter, J. Cosmol. Astropart. Phys. 02 (2014) 019.
- Z. Arzoumanian, P. T. Baker, A. Brazier, S. Burke-Spolaor, S. J. Chamberlin, S. Chatterjee, B. Christy, J. M. Cordes, N. J. Cornish, F. Crawford et al., The NANOGrav 11-year data set: Pulsar-timing constraints on the stochastic gravitational-wave background, Astrophys. J. 859, 47 (2018).
- K. Nomura, A. Ito, and J. Soda, Pulsar timing residual induced by ultralight vector dark matter, Eur. Phys. J. C 80, 419 (2020).
- A. X. Gonzaláz-Morales, D. J. E. Marsh, J. Peñarrubia, and L. A. Ureña-López, Unbiased constraints on ultralight axion mass from dwarf spheroidal galaxies, Mon. Not. R. Astron. Soc. 472, 1346 (2017).
- E. Kendal and R. Easther, The Core-Cusp problem revisited: ULDM vs. CDM, Publ. Astron. Soc. Austral. 37, e009 (2020).
- M. A. McLaughlin, The North American Nanohertz Observatory for gravitational waves, Class. Quant. Grav. 30, 224008 (2013).
- M. Kramer and D. J. Champion, The European pulsar timing array and the large European array for pulsars, Class. Quant. Grav. 30, 224009 (2013).
- R. N. Manchester, The International Pulsar Timing Array, Class. Quant. Grav. 30, 224010 (2013).
- R. Nan, D. Li, C. Jin, Q. Wang, L. Zhu, W. Zhu, H. Zhang, Y. Yue, and L. Qian, The Five-Hundred-Meter Aperture Spherical Radio Telescope (FAST) Project, Int. J. Mod. Phys. D 20, 989 (2011).
- T. J. W. Lazio, The square kilometre array Pulsar Timing Array, Class. Quant. Grav. 30, 224011 (2013).