Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Nonrelativistic nuclear reduction for tensor couplings in dark matter direct detection and μ→e conversion

Ayala Glick-Magid*

  • *Contact author: glickm@uw.edu

Phys. Rev. D 110, L051701 – Published 11 September, 2024

DOI: https://doi.org/10.1103/PhysRevD.110.L051701

Abstract

The nonrelativistic effective field theory (NRET) is widely used in dark matter direct detection and charged-lepton flavor violation studies through μ→e conversion. However, existing literature has not fully considered tensor couplings. This study fills this gap by utilizing an innovative tensor decomposition method, extending NRET to incorporate previously overlooked tensor interactions. This development is expected to have a significant impact on ongoing experiments seeking physics beyond the Standard Model and on our understanding of the new-physics interactions. Notably, we identify additional operators in μ→e conversion that are absent in scalar and vector couplings. To support further research and experimental analyses, comprehensive tables featuring tensor matrix elements and their corresponding operators are provided.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (42)

  1. R. J. Gaitskell, Direct detection of dark matter, Annu. Rev. Nucl. Part. Sci. 54, 315 (2004).
  2. G. Bertone, D. Hooper, and J. Silk, Particle dark matter: Evidence, candidates and constraints, Phys. Rep. 405, 279 (2005).
  3. P. Klos, J. Meneńdez, D. Gazit, and A. Schwenk, Large-scale nuclear structure calculations for spin-dependent WIMP scattering with chiral effective field theory currents, Phys. Rev. D 88, 083516 (2013); 89, 029901 (2014).
  4. J. L. Feng, Dark matter candidates from particle physics and methods of detection, Annu. Rev. Astron. Astrophys. 48, 495 (2010).
  5. L. Baudis, Direct dark matter detection: The next decade, Phys. Dark Universe 1, 94 (2012).
  6. J. Menendez, D. Gazit, and A. Schwenk, Spin-dependent WIMP scattering off nuclei, Phys. Rev. D 86, 103511 (2012).
  7. M. Hoferichter, P. Klos, and A. Schwenk, Chiral power counting of one- and two-body currents in direct detection of dark matter, Phys. Lett. B 746, 410 (2015).
  8. A. L. Fitzpatrick, W. Haxton, E. Katz, N. Lubbers, and Y. Xu, The effective field theory of dark matter direct detection, J. Cosmol. Astropart. Phys. 02 (2013) 004.
  9. N. Anand, A. L. Fitzpatrick, and W. C. Haxton, Weakly interacting massive particle-nucleus elastic scattering response, Phys. Rev. C 89, 065501 (2014).
  10. D. Gazda, R. Catena, and C. Forssén, Ab initio nuclear response functions for dark matter searches, Phys. Rev. D 95, 103011 (2017).
  11. V. Cirigliano, M. L. Graesser, and G. Ovanesyan, WIMP-nucleus scattering in chiral effective theory, J. High Energy Phys. 10 (2012) 025.
  12. M. Hoferichter, P. Klos, J. Menéndez, and A. Schwenk, Analysis strategies for general spin-independent WIMP-nucleus scattering, Phys. Rev. D 94, 063505 (2016).
  13. M. Hoferichter, P. Klos, J. Menéndez, and A. Schwenk, Nuclear structure factors for general spin-independent WIMP-nucleus scattering, Phys. Rev. D 99, 055031 (2019).
  14. B. J. Kavanagh and T. Edwards, bradkav/WIMpy_NREFT: Fixed minor typos to produce a working version of v.1.1.0 (Zenodo, 2021), 10.5281/zenodo.5535677.
  15. R. A. Khaleq, C. Simenel, and A. E. Stuchbery, Impact of nuclear structure from shell model calculations on nuclear responses to WIMP elastic scattering for F19 and Xenat targets, SciPost Phys. Proc. 12, 062 (2023), 10.21468/SciPostPhysProc.12.062.
  16. T. D. P. Edwards, B. J. Kavanagh, C. Weniger, S. Baum, A. K. Drukier, K. Freese, M. Górski, and P. Stengel, Digging for dark matter: Spectral analysis and discovery potential of paleo-detectors, Phys. Rev. D 99, 043541 (2019).
  17. E. Adams et al., Search for inelastic dark matter-nucleus scattering with the pico-60 cf3I and c3f8 bubble chambers, Phys. Rev. D 108, 062003 (2023).
  18. C. V. Cappiello, N. P. Avis Kozar, and A. C. Vincent, Dark matter from monogem, Phys. Rev. D 107, 035003 (2023).
  19. F. Abusalma et al., Expression of interest for evolution of the Mu2e experiment, arXiv:1802.02599.
  20. L. Bartoszek et al., Mu2e technical design report, arXiv:1501.05241.
  21. J.-C. Angélique et al., COMET–A submission to the 2020 update of the European strategy for particle physics on behalf of the COMET collaboration, arXiv:1812.07824.
  22. R. Abramishvili et al. (The COMET Collaboration), COMET Phase-I technical design report, Prog. Theor. Exp. Phys. 2020, 033C01 (2020).
  23. W. C. Haxton, E. Rule, K. McElvain, and M. J. Ramsey-Musolf, Nuclear-level effective theory of μ→e conversion: Formalism and applications, Phys. Rev. C 107, 035504 (2023).
  24. E. Rule, W. C. Haxton, and K. McElvain, Nuclear-level effective theory of μ→e conversion. Phys. Rev. Lett. 130, 131901 (2023).
  25. A. Glick-Magid and D. Gazit, Multipole decomposition of tensor interactions of fermionic probes with composite particles and BSM signatures in nuclear reactions, Phys. Rev. D 107, 075031 (2023).
  26. A. Glick-Magid and D. Gazit, A formalism to assess the accuracy of nuclear-structure weak interaction effects in precision β-decay studies, J. Phys. G 49, 105105 (2022).
  27. M. Hoferichter, J. Menéndez, and A. Schwenk, Coherent elastic neutrino-nucleus scattering: EFT analysis and nuclear responses, Phys. Rev. D 102, 074018 (2020).
  28. M. Hoferichter, J. Menéndez, and F. Noël, Improved limits on lepton-flavor-violating decays of light pseudoscalars via spin-dependent μ→e conversion in nuclei, Phys. Rev. Lett. 130, 131902 (2023).
  29. A. Glick-Magid, Y. Mishnayot, I. Mukul, M. Hass, S. Vaintraub, G. Ron, and D. Gazit, Beta spectrum of unique first-forbidden decays as a novel test for fundamental symmetries, Phys. Lett. B 767, 285 (2017).
  30. I. Mardor et al., The Soreq applied research accelerator facility (SARAF): Overview, research programs and future plans, Eur. Phys. J. A 54, 91 (2018).
  31. B. Ohayon et al., Weak interaction studies at SARAF, Hyperfine Interact. 239, 57 (2018).
  32. P. Shuai et al., Determination of β-decay feeding patterns of 88Rb and 88Kr using the Modular Total Absorption Spectrometer at ORNL HRIBF, Phys. Rev. C 105, 054312 (2022).
  33. S. Weinberg, Charge symmetry of weak interactions, Phys. Rev. 112, 1375 (1958).
  34. V. Cirigliano, S. Gardner, and B. Holstein, Beta decays and non-standard interactions in the LHC era, Prog. Part. Nucl. Phys. 71, 93 (2013).
  35. S. L. Adler, E. W. Colglazier, J. B. Healy, I. Karliner, J. Lieberman, Y. J. Ng, and H.-S. Tsao, Renormalization constants for scalar, pseudoscalar, and tensor currents, Phys. Rev. D 11, 3309 (1975).
  36. M. Hoferichter, B. Kubis, J. Ruiz de Elvira, and P. Stoffer, Nucleon matrix elements of the antisymmetric quark tensor, Phys. Rev. Lett. 122, 122001 (2019).
  37. C. Itzykson and J. B. Zuber, Quantum Field Theory, International Series in Pure and Applied Physics (McGraw-Hill International Book Co., New York, 1980), ISBN [Amazon][WorldCat], Reprinted by Dover, 2006.
  38. T. D. Lee and C. N. Yang, Question of parity conservation in weak interactions. Phys. Rev. 104, 254 (1956).
  39. M. González-Alonso, O. Naviliat-Cuncic, and N. Severijns, New physics searches in nuclear and neutron β decay, Prog. Part. Nucl. Phys. 104, 165 (2019).
  40. W. Dekens, E. E. Jenkins, A. V. Manohar, and P. Stoffer, Non-perturbative effects in μ→eγ. J. High Energy Phys. 01 (2019) 088.
  41. W. Buchmüller and D. Wyler, Effective Lagrangian analysis of new interactions and flavour conservation, Nucl. Phys. B268, 621 (1986).
  42. B. Grzadkowski, M. Iskrzyński, M. Misiak, and J. Rosiek, Dimension-six terms in the standard model Lagrangian, J. High Energy Phys. 10 (2010) 085.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation