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  • Open Access

Tensor interaction in coherent elastic neutrino-nucleus scattering

Jiajun Liao*, Jian Tang†, and Bing-Long Zhang‡

  • *Contact author: liaojiajun@mail.sysu.edu.cn
  • †Contact author: tangjian5@mail.sysu.edu.cn
  • ‡Contact author: zhangblong@mail2.sysu.edu.cn

Phys. Rev. D 112, 035036 – Published 28 August, 2025

DOI: https://doi.org/10.1103/19yb-tstx

Abstract

Neutrino tensor interactions have gained prominence in the study of coherent elastic neutrino-nucleus scattering (CEνNS) recently. We perform a systematical examination of the nuclear effect, which plays a crucial role in evaluating the cross section of CEνNS in the presence of tensor interactions. Our analysis reveals that the CEνNS cross section induced by tensor interactions is not entirely nuclear spin suppressed and can be enhanced by a few orders of magnitude compared to the conventional studies. The neutrino magnetic moment induced by the loop effect of tensor interactions is also taken into account due to its sizable contribution to the CEνNS cross section. We also employ data from the COHERENT experiment and recent observations of solar B8 neutrinos from dark matter direct detection experiments to scrutinize the parameter space of neutrino tensor interactions.

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References (97)

  1. T. D. Lee and C.-N. Yang, Phys. Rev. 104, 254 (1956).
  2. S. Bergmann, Y. Grossman, and E. Nardi, Phys. Rev. D 60, 093008 (1999).
  3. M. Lindner, W. Rodejohann, and X.-J. Xu, J. High Energy Phys. 03 (2017) 097.
  4. D. Aristizabal Sierra, V. De Romeri, and N. Rojas, Phys. Rev. D 98, 075018 (2018).
  5. P. Herczeg, Prog. Part. Nucl. Phys. 46, 413 (2001).
  6. X.-J. Xu, Phys. Rev. D 99, 075003 (2019).
  7. F.-Z. Chen, M.-D. Zheng, and H.-H. Zhang, Phys. Rev. D 106, 095009 (2022).
  8. I. Bischer and W. Rodejohann, Nucl. Phys. B947, 114746 (2019).
  9. T. Han, J. Liao, H. Liu, and D. Marfatia, J. High Energy Phys. 07 (2020) 207.
  10. J. Barranco, A. Bolanos, E. A. Garces, O. G. Miranda, and T. I. Rashba, Int. J. Mod. Phys. A 27, 1250147 (2012).
  11. F. J. Escrihuela, L. J. Flores, O. G. Miranda, and J. Rendón, J. High Energy Phys. 07 (2021) 061.
  12. F. J. Escrihuela, L. J. Flores, O. G. Miranda, J. Rendón, and R. Sánchez-Vélez, J. High Energy Phys. 04 (2024) 102.
  13. C. A. Gagliardi, R. E. Tribble, and N. J. Williams, Phys. Rev. D 72, 073002 (2005).
  14. A. Hillairet et al. (TWIST Collaboration), Phys. Rev. D 85, 092013 (2012).
  15. T. M. Ito and G. Prezeau, Phys. Rev. Lett. 94, 161802 (2005).
  16. G. Prezeau and A. Kurylov, Phys. Rev. Lett. 95, 101802 (2005).
  17. A. S. Carnoy, J. Deutsch, T. A. Girard, and R. Prieels, Phys. Rev. C 43, 2825 (1991).
  18. E. G. Adelberger, C. Ortiz, A. Garcia, H. E. Swanson, M. Beck, O. Tengblad, M. J. G. Borge, I. Martel, and H. Bichsel (ISOLDE Collaboration), Phys. Rev. Lett. 83, 1299 (1999); 83, 3101(E) (1999).
  19. V. Cirigliano, S. Gardner, and B. Holstein, Prog. Part. Nucl. Phys. 71, 93 (2013).
  20. M. González-Alonso, O. Naviliat-Cuncic, and N. Severijns, Prog. Part. Nucl. Phys. 104, 165 (2019).
  21. I. K. Banerjee, U. K. Dey, N. Nath, and S. S. Shariff, J. Cosmol. Astropart. Phys. 04 (2024) 002.
  22. M. Aker et al. (KATRIN Collaboration), Phys. Rev. Lett. 134, 251801 (2025).
  23. M. Abdullah et al., arXiv:2203.07361.
  24. D. Akimov et al. (COHERENT Collaboration), Science 357, 1123 (2017).
  25. D. Akimov et al. (COHERENT Collaboration), Phys. Rev. Lett. 126, 012002 (2021).
  26. D. Akimov et al. (COHERENT Collaboration), Phys. Rev. Lett. 129, 081801 (2022).
  27. Z. Bo et al. (PandaX Collaboration), Phys. Rev. Lett. 133, 191001 (2024).
  28. E. Aprile et al. (XENON Collaboration), Phys. Rev. Lett. 133, 191002 (2024).
  29. L. Vietze, P. Klos, J. Menéndez, W. C. Haxton, and A. Schwenk, Phys. Rev. D 91, 043520 (2015).
  30. D. Z. Freedman, Phys. Rev. D 9, 1389 (1974).
  31. D. K. Papoulias and T. S. Kosmas, Phys. Rev. D 97, 033003 (2018).
  32. D. Aristizabal Sierra, J. Liao, and D. Marfatia, J. High Energy Phys. 06 (2019) 141.
  33. T. Li, X.-D. Ma, and M. A. Schmidt, J. High Energy Phys. 07 (2020) 152.
  34. W.-F. Chang and J. Liao, Phys. Rev. D 102, 075004 (2020).
  35. M. Demirci and M. F. Mustamin, in Beyond Standard Model: From Theory to Experiment (2021), 10.31526/ACP.BSM-2021.31.
  36. L. J. Flores, N. Nath, and E. Peinado, Phys. Rev. D 105, 055010 (2022).
  37. A. Majumdar, D. K. Papoulias, and R. Srivastava, Phys. Rev. D 106, 013001 (2022).
  38. V. De Romeri, O. G. Miranda, D. K. Papoulias, G. Sanchez Garcia, M. Tórtola, and J. W. F. Valle, J. High Energy Phys. 04 (2023) 035.
  39. S. S. Chatterjee, S. Lavignac, O. G. Miranda, and G. Sanchez Garcia, Phys. Rev. D 110, 095027 (2024).
  40. W. Altmannshofer, M. Tammaro, and J. Zupan, J. High Energy Phys. 09 (2019) 083; 11 (2021) 113(E).
  41. M. Hoferichter, J. Menéndez, and A. Schwenk, Phys. Rev. D 102, 074018 (2020).
  42. A. L. Fitzpatrick, W. Haxton, E. Katz, N. Lubbers, and Y. Xu, J. Cosmol. Astropart. Phys. 02 (2013) 004.
  43. N. Anand, A. L. Fitzpatrick, and W. C. Haxton, Phys. Rev. C 89, 065501 (2014).
  44. P. M. Candela, V. De Romeri, P. Melas, D. K. Papoulias, and N. Saoulidou, J. High Energy Phys. 10 (2024) 032.
  45. V. De Romeri, D. K. Papoulias, and C. A. Ternes, J. Cosmol. Astropart. Phys. 05 (2025) 012.
  46. A. Chattaraj, A. Majumdar, D. K. Papoulias, and R. Srivastava, J. High Energy Phys. 05 (2025) 064.
  47. D. K. Papoulias and T. S. Kosmas, Phys. Lett. B 747, 454 (2015).
  48. R. Gupta, B. Yoon, T. Bhattacharya, V. Cirigliano, Y.-C. Jang, and H.-W. Lin, Phys. Rev. D 98, 091501 (2018).
  49. M. Hoferichter, B. Kubis, J. Ruiz de Elvira, and P. Stoffer, Phys. Rev. Lett. 122, 122001 (2019); 124, 199901(E) (2020).
  50. A. Glick-Magid and D. Gazit, Phys. Rev. D 107, 075031 (2023).
  51. A. Glick-Magid, Phys. Rev. D 110, L051701 (2024).
  52. T. W. Donnelly and W. C. Haxton, At. Data Nucl. Data Tables 23, 103 (1979).
  53. W. Haxton and C. Lunardini, Comput. Phys. Commun. 179, 345 (2008).
  54. E. Del Nobile, The Theory of Direct Dark Matter Detection (Springer, Cham, 2022).
  55. P. Coloma, I. Esteban, M. C. Gonzalez-Garcia, and J. Menendez, J. High Energy Phys. 08 (2020) 030.
  56. P. Klos, J. Menéndez, D. Gazit, and A. Schwenk, Phys. Rev. D 88, 083516 (2013); 89, 029901(E) (2014).
  57. B. S. Hu, J. Padua-Argüelles, S. Leutheusser, T. Miyagi, S. R. Stroberg, and J. D. Holt, Phys. Rev. Lett. 128, 072502 (2022).
  58. C. Giunti and A. Studenikin, Rev. Mod. Phys. 87, 531 (2015).
  59. C. Giunti, K. Kouzakov, Y.-F. Li, and A. Studenikin, Annu. Rev. Nucl. Part. Sci. 75, 1 (2025).
  60. D. Akimov et al. (COHERENT Collaboration), in Snowmass 2021 (2022), arXiv:2204.04575.
  61. C. A. J. O’Hare, Phys. Rev. Lett. 127, 251802 (2021).
  62. J. Tang and B.-L. Zhang, Phys. Rev. D 108, 062004 (2023).
  63. J. Tang and B.-L. Zhang, J. High Energy Phys. 12 (2024) 074.
  64. P. Blanco-Mas, P. Coloma, G. Herrera, P. Huber, J. Kopp, I. M. Shoemaker, and Z. Tabrizi, arXiv:2411.14206.
  65. P. Coloma, I. Esteban, M. C. Gonzalez-Garcia, L. Larizgoitia, F. Monrabal, and S. Palomares-Ruiz, J. High Energy Phys. 05 (2022) 037.
  66. M. Atzori Corona, M. Cadeddu, N. Cargioli, F. Dordei, C. Giunti, Y. F. Li, C. A. Ternes, and Y. Y. Zhang, J. High Energy Phys. 09 (2022) 164.
  67. A. N. Khan, Phys. Lett. B 837, 137650 (2023).
  68. S. K. A., A. Majumdar, D. K. Papoulias, H. Prajapati, and R. Srivastava, Phys. Lett. B 839, 137742 (2023).
  69. A. L. Fetter, J. D. Walecka, and L. P. Kadanoff, Quantum Theory of Many-Particle Systems (McGraw Hill, New York, 1971).
  70. J. S. O’ Connell, T. W. Donnelly, and J. D. Walecka, Phys. Rev. C 6, 719 (1972).
  71. J. D. Walecka, Theoretical Nuclear and Subnuclear Physics (World Scientific, Singapore, 2001).
  72. T. W. Donnelly and I. Sick, Rev. Mod. Phys. 56, 461 (1984).
  73. J. Menendez, A. Poves, E. Caurier, and F. Nowacki, Nucl. Phys. A818, 139 (2009).
  74. Updated single nucleon density matrix elements can be found in dmscatter [75] and https://github.com/Berkeley-Electroweak-Physics/Elastic.
  75. O. C. Gorton, C. W. Johnson, C. Jiao, and J. Nikoleyczik, Comput. Phys. Commun. 284, 108597 (2023).
  76. https://github.com/zhangblong/CEvNSTensor.
  77. We follow the convention in Ref. [54], while some literature [41, 43] adopt Bjorken and Drell γ matrix conventions and spinor normalization (1 instead of the 2mN).

  78. J. Gasser and H. Leutwyler, Ann. Phys. (N.Y.) 158, 142 (1984).
  79. J. Gasser and H. Leutwyler, Nucl. Phys. B250, 465 (1985).
  80. G. Ecker, J. Gasser, A. Pich, and E. de Rafael, Nucl. Phys. B321, 311 (1989).
  81. O. Cata and V. Mateu, J. High Energy Phys. 09 (2007) 078.
  82. E. Filandri and M. Viviani, Phys. Rev. C 110, 034002 (2024).
  83. T.-S. Park, H. Jung, and D.-P. Min, Phys. Lett. B 409, 26 (1997).
  84. M. Hoferichter, P. Klos, J. Menéndez, and A. Schwenk, Phys. Rev. D 94, 063505 (2016).
  85. M. Hoferichter, P. Klos, J. Menéndez, and A. Schwenk, Phys. Rev. D 99, 055031 (2019).
  86. C. G. Payne, S. Bacca, G. Hagen, W. Jiang, and T. Papenbrock, Phys. Rev. C 100, 061304 (2019).
  87. J. Yang, J. A. Hernandez, and J. Piekarewicz, Phys. Rev. C 100, 054301 (2019).
  88. N. Van Dessel, V. Pandey, H. Ray, and N. Jachowicz, Universe 9, 207 (2023).
  89. G. Co’, M. Anguiano, and A. M. Lallena, J. Cosmol. Astropart. Phys. 04 (2020) 044.
  90. O. Tomalak, P. Machado, V. Pandey, and R. Plestid, J. High Energy Phys. 02 (2021) 097.
  91. R. Abdel Khaleq, G. Busoni, C. Simenel, and A. E. Stuchbery, Phys. Rev. D 109, 075036 (2024).
  92. R. Abdel Khaleq, J. L. Newstead, C. Simenel, and A. E. Stuchbery, Phys. Rev. D 111, 033003 (2025).
  93. J. N. Bahcall, A. M. Serenelli, and S. Basu, Astrophys. J. Lett. 621, L85 (2005).
  94. J. Bergstrom, M. C. Gonzalez-Garcia, M. Maltoni, C. Pena-Garay, A. M. Serenelli, and N. Song, J. High Energy Phys. 03 (2016) 132.
  95. D. Aristizabal Sierra, N. Mishra, and L. Strigari, Phys. Rev. D 111, 055007 (2025).
  96. G. Li, C.-Q. Song, F.-J. Tang, and J.-H. Yu, Phys. Rev. D 111, 035002 (2025).
  97. E. Vitagliano, I. Tamborra, and G. Raffelt, Rev. Mod. Phys. 92, 045006 (2020).

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