- Physical Review Journals
All JournalsPhysics Magazine

Physical Review D

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

Nucleon axial-vector form factor and radius from future neutrino experiments

Roberto Petti1,*, Richard J. Hill2,3,†, and Oleksandr Tomalak4,‡

  • 1Department of Physics and Astronomy, University of South Carolina, Columbia, South Carolina 29208, USA
  • 2Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506, USA
  • 3Theoretical Physics Department, Fermilab, Batavia, Illinois 60510, USA
  • 4Los Alamos National Laboratory, Theoretical Division, Los Alamos, New Mexico 87545, USA

  • *Roberto.Petti@cern.ch
  • †Richard.Hill@uky.edu
  • ‡tomalak@lanl.gov
PDF

Phys. Rev. D 109, L051301 – Published 1 March, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.L051301

Abstract

Precision measurements of antineutrino elastic scattering on hydrogen from future neutrino experiments offer a unique opportunity to access the low-energy structure of protons and neutrons. We discuss the determination of the nucleon axial-vector form factor and radius from antineutrino interactions on hydrogen that can be collected at the future Long-Baseline Neutrino Facility and study the sources of theoretical and experimental uncertainties. The projected accuracy would improve existing measurements by 1 order of magnitude and be competitive with contemporary lattice-QCD determinations, potentially helping to resolve the corresponding tension with measurements from (anti)neutrino elastic scattering on deuterium. We find that the current knowledge of the nucleon vector form factors could be one of the dominant sources of uncertainty. We also evaluate the constraints that can be simultaneously obtained on the absolute ν¯μ flux normalization.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (125)

  1. N. Dombey, Rev. Mod. Phys. 41, 236 (1969).
  2. A. I. Akhiezer and M. P. Rekalo, Fiz. Elem. Chastits At. Yadra 4, 662 (1973).
  3. J. C. Bernauer et al. (A1 Collaboration), Phys. Rev. Lett. 105, 242001 (2010).
  4. J. C. Bernauer et al. (A1 Collaboration), Phys. Rev. C 90, 015206 (2014).
  5. W. Xiong et al., Nature (London) 575, 147 (2019).
  6. V. Punjabi, C. F. Perdrisat, M. K. Jones, E. J. Brash, and C. E. Carlson, Eur. Phys. J. A 51, 79 (2015).
  7. D. Ganichot, B. Grossetete, and D. B. Isabelle, Nucl. Phys. A178, 545 (1972).
  8. P. E. Bosted et al., Phys. Rev. C 42, 38 (1990).
  9. C. F. Perdrisat, V. Punjabi, and M. Vanderhaeghen, Prog. Part. Nucl. Phys. 59, 694 (2007).
  10. M. K. Jones et al. (Jefferson Lab Hall A Collaboration), Phys. Rev. Lett. 84, 1398 (2000).
  11. O. Gayou et al. (Jefferson Lab Hall A Collaboration), Phys. Rev. Lett. 88, 092301 (2002).
  12. V. Punjabi et al., Phys. Rev. C 71, 055202 (2005); 71, 069902(E) (2005).
  13. A. J. R. Puckett et al., Phys. Rev. Lett. 104, 242301 (2010).
  14. G. Ron et al. (Jefferson Lab Hall A Collaboration), Phys. Rev. C 84, 055204 (2011).
  15. X. Zhan et al., Phys. Lett. B 705, 59 (2011).
  16. V. Bernard, L. Elouadrhiri, and U.-G. Meissner, J. Phys. G 28, R1 (2002).
  17. V. Bernard, H. W. Fearing, T. R. Hemmert, and U. G. Meissner, Nucl. Phys. A635, 121 (1998); A642, 563(E) (1998).
  18. M. R. Schindler, T. Fuchs, J. Gegelia, and S. Scherer, Phys. Rev. C 75, 025202 (2007).
  19. M. R. Schindler and S. Scherer, Eur. Phys. J. A 32, 429 (2007).
  20. S.-i. Ando and H. W. Fearing, Phys. Rev. D 75, 014025 (2007).
  21. S. Scherer, Prog. Part. Nucl. Phys. 64, 1 (2010).
  22. D.-L. Yao, L. Alvarez-Ruso, and M. J. Vicente-Vacas, Phys. Rev. D 96, 116022 (2017).
  23. J. M. Alarcón and C. Weiss, Phys. Rev. C 97, 055203 (2018).
  24. J. M. Alarcón and C. Weiss, Phys. Rev. C 96, 055206 (2017).
  25. X. Zhang, T. J. Hobbs, and G. A. Miller, Phys. Rev. D 102, 074026 (2020).
  26. P. L. Chung and F. Coester, Phys. Rev. D 44, 229 (1991).
  27. F. Cardarelli, E. Pace, G. Salme, and S. Simula, Phys. Lett. B 357, 267 (1995).
  28. S. J. Brodsky, H.-C. Pauli, and S. S. Pinsky, Phys. Rep. 301, 299 (1998).
  29. G. A. Miller, Phys. Rev. C 66, 032201 (2002).
  30. G. A. Miller and M. R. Frank, Phys. Rev. C 65, 065205 (2002).
  31. B.-Q. Ma, D. Qing, and I. Schmidt, Phys. Rev. C 65, 035205 (2002).
  32. B.-Q. Ma, D. Qing, and I. Schmidt, Phys. Rev. C 66, 048201 (2002).
  33. B. Pasquini and S. Boffi, Phys. Rev. D 76, 074011 (2007).
  34. I. C. Cloet and G. A. Miller, Phys. Rev. C 86, 015208 (2012).
  35. S. J. Brodsky, G. F. de Teramond, H. G. Dosch, and J. Erlich, Phys. Rep. 584, 1 (2015).
  36. S. Mamedov and N. Nasibova, Int. J. Mod. Phys. A 38, 2350131 (2023).
  37. M. Gockeler, T. R. Hemmert, R. Horsley, D. Pleiter, P. E. L. Rakow, A. Schafer, and G. Schierholz (QCDSF Collaboration), Phys. Rev. D 71, 034508 (2005).
  38. C. Alexandrou, S. Bacchio, M. Constantinou, J. Finkenrath, K. Hadjiyiannakou, K. Jansen, G. Koutsou, and A. Vaquero Aviles-Casco, Phys. Rev. D 100, 014509 (2019).
  39. T. Yamazaki, Y. Aoki, T. Blum, H.-W. Lin, S. Ohta, S. Sasaki, R. Tweedie, and J. Zanotti, Phys. Rev. D 79, 114505 (2009).
  40. A. J. Chambers et al. (QCDSF, UKQCD, and CSSM Collaborations), Phys. Rev. D 96, 114509 (2017).
  41. S. Capitani, M. Della Morte, D. Djukanovic, G. von Hippel, J. Hua, B. Jäger, B. Knippschild, H. B. Meyer, T. D. Rae, and H. Wittig, Phys. Rev. D 92, 054511 (2015).
  42. M. Bruno et al., J. High Energy Phys. 02 (2015) 043.
  43. J. D. Bratt et al. (LHPC Collaboration), Phys. Rev. D 82, 094502 (2010).
  44. A. S. Kronfeld, D. G. Richards, W. Detmold, R. Gupta, H.-W. Lin, K.-F. Liu, A. S. Meyer, R. Sufian, and S. Syritsyn (USQCD Collaboration), Eur. Phys. J. A 55, 196 (2019).
  45. K.-I. Ishikawa, Y. Kuramashi, S. Sasaki, N. Tsukamoto, A. Ukawa, and T. Yamazaki (PACS Collaboration), Phys. Rev. D 98, 074510 (2018).
  46. N. Hasan, J. Green, S. Meinel, M. Engelhardt, S. Krieg, J. Negele, A. Pochinsky, and S. Syritsyn, Phys. Rev. D 99, 114505 (2019).
  47. G. S. Bali, L. Barca, S. Collins, M. Gruber, M. Löffler, A. Schäfer, W. Söldner, P. Wein, S. Weishäupl, and T. Wurm (RQCD Collaboration), J. High Energy Phys. 05 (2020) 126.
  48. Y.-C. Jang, R. Gupta, B. Yoon, and T. Bhattacharya, Phys. Rev. Lett. 124, 072002 (2020).
  49. C. Alexandrou et al., Phys. Rev. D 103, 034509 (2021).
  50. S. Park, R. Gupta, B. Yoon, S. Mondal, T. Bhattacharya, Y.-C. Jang, B. Joó, and F. Winter (Nucleon Matrix Elements (NME) Collaboration), Phys. Rev. D 105, 054505 (2022).
  51. D. Djukanovic, G. von Hippel, J. Koponen, H. B. Meyer, K. Ottnad, T. Schulz, and H. Wittig, Phys. Rev. D 106, 074503 (2022).
  52. Y.-C. Jang, R. Gupta, T. Bhattacharya, B. Yoon, and H.-W. Lin (Precision Neutron Decay Matrix Elements (PNDME) Collaboration), Phys. Rev. D 109, 014503 (2024).
  53. H. Nunokawa, S. J. Parke, and J. W. F. Valle, Prog. Part. Nucl. Phys. 60, 338 (2008).
  54. D. S. Ayres et al. (NOvA Collaboration), The NOvA technical design report, 10.2172/935497.
  55. K. Abe et al. (T2K Collaboration), Nucl. Instrum. Methods Phys. Res., Sect. A 659, 106 (2011).
  56. A. Gando et al. (KamLAND Collaboration), Phys. Rev. D 88, 033001 (2013).
  57. R. Acciarri et al. (MicroBooNE, LAr1-ND, and ICARUS-WA104 Collaborations), arXiv:1503.01520.
  58. F. An et al. (JUNO Collaboration), J. Phys. G 43, 030401 (2016).
  59. K. Abe et al. (Hyper-Kamiokande Proto-Collaboration), Prog. Theor. Exp. Phys. 2015, 053C02 (2015).
  60. N. McConkey (SBND Collaboration), J. Phys. Conf. Ser. 888, 012148 (2017).
  61. G. Bak et al. (RENO Collaboration), Phys. Rev. Lett. 121, 201801 (2018).
  62. D. Adey et al. (Daya Bay Collaboration), Phys. Rev. Lett. 121, 241805 (2018).
  63. P. A. Machado, O. Palamara, and D. W. Schmitz, Annu. Rev. Nucl. Part. Sci. 69, 363 (2019).
  64. P. Abratenko et al. (MicroBooNE Collaboration), Phys. Rev. Lett. 123, 131801 (2019).
  65. Double Chooz Collaboration, Nat. Phys. 16, 558 (2020).
  66. C. Farnese (ICARUS Collaboration), Universe 5, 49 (2019).
  67. K. Abe et al. (T2K Collaboration), Nature (London) 580, 339 (2020); 583, E16 (2020).
  68. M. A. Acero et al. (NOvA Collaboration), Phys. Rev. Lett. 123, 151803 (2019).
  69. B. Abi et al. (DUNE Collaboration), arXiv:2002.03005.
  70. A. Abusleme et al. (JUNO Collaboration), Prog. Part. Nucl. Phys. 123, 103927 (2022).
  71. L. Alvarez-Ruso et al. (NuSTEC Collaboration), Prog. Part. Nucl. Phys. 100, 1 (2018).
  72. J. Carlson, S. Gandolfi, F. Pederiva, S. C. Pieper, R. Schiavilla, K. E. Schmidt, and R. B. Wiringa, Rev. Mod. Phys. 87, 1067 (2015).
  73. O. Benhar, P. Huber, C. Mariani, and D. Meloni, Phys. Rep. 700, 1 (2017).
  74. N. Rocco, A. Lovato, and O. Benhar, Phys. Rev. Lett. 116, 192501 (2016).
  75. S. Pastore, A. Baroni, J. Carlson, S. Gandolfi, S. C. Pieper, R. Schiavilla, and R. B. Wiringa, Phys. Rev. C 97, 022501 (2018).
  76. J. E. Lynn, I. Tews, S. Gandolfi, and A. Lovato, Annu. Rev. Nucl. Part. Sci. 69, 279 (2019).
  77. C. H. Llewellyn Smith, Phys. Rep. 3, 261 (1972).
  78. T. Fuchs, Formfaktoren des Nukleons in relativistischer chiraler Stoerungstheorie, other thesis, Johannes Gutenberg-Universitdt Mainz, 2002 (in German).
  79. N. Kaiser, Phys. Rev. C 67, 027002 (2003).
  80. M. F. M. Lutz, U. Sauerwein, and R. G. E. Timmermans, Eur. Phys. J. C 80, 844 (2020).
  81. C. Chen, C. S. Fischer, C. D. Roberts, and J. Segovia, Phys. Lett. B 815, 136150 (2021).
  82. R. Petti, Proc. Sci. DIS2019 (2019) 235 [arXiv:1910.05995].
  83. R. Petti, Phys. Lett. B 834, 137469 (2022).
  84. H. Duyang, B. Guo, S. R. Mishra, and R. Petti, Phys. Lett. B 795, 424 (2019).
  85. R. Petti, arXiv:2301.04744.
  86. W. A. Mann et al., Phys. Rev. Lett. 31, 844 (1973).
  87. S. J. Barish et al., Phys. Rev. D 16, 3103 (1977).
  88. K. L. Miller et al., Phys. Rev. D 26, 537 (1982).
  89. N. J. Baker, A. M. Cnops, P. L. Connolly, S. A. Kahn, H. G. Kirk, M. J. Murtagh, R. B. Palmer, N. P. Samios, and M. Tanaka, Phys. Rev. D 23, 2499 (1981).
  90. T. Kitagaki et al., Phys. Rev. D 28, 436 (1983).
  91. A. S. Meyer, A. Walker-Loud, and C. Wilkinson, Annu. Rev. Nucl. Part. Sci. 72, 205 (2022).
  92. K. A. Griffioen et al., Phys. Rev. C 92, 015211 (2015).
  93. S. K. Singh, Nucl. Phys. B36, 419 (1972).
  94. G. Shen, L. E. Marcucci, J. Carlson, S. Gandolfi, and R. Schiavilla, Phys. Rev. C 86, 035503 (2012).
  95. S. A. Kulagin and R. Petti, Phys. Rev. D 76, 094023 (2007).
  96. S. A. Kulagin and R. Petti, Phys. Rev. C 90, 045204 (2014).
  97. S. I. Alekhin, S. A. Kulagin, and R. Petti, Phys. Rev. D 105, 114037 (2022).
  98. S. I. Alekhin, S. A. Kulagin, and R. Petti, Phys. Rev. D 107, L051506 (2023).
  99. A. Accardi, L. T. Brady, W. Melnitchouk, J. F. Owens, and N. Sato, Phys. Rev. D 93, 114017 (2016).
  100. A. S. Meyer, M. Betancourt, R. Gran, and R. J. Hill, Phys. Rev. D 93, 113015 (2016).
  101. T. Cai et al. (MINERvA Collaboration), Nature (London) 614, 48 (2023).
  102. O. Tomalak, R. Gupta, and T. Bhattacharya, Phys. Rev. D 108, 074514 (2023).
  103. H. Duyang, B. Guo, S. R. Mishra, and R. Petti, arXiv:1809.08752.
  104. J. Rout, S. Roy, M. Masud, M. Bishai, and P. Mehta, Phys. Rev. D 102, 116018 (2020).
  105. K. Borah, R. J. Hill, G. Lee, and O. Tomalak, Phys. Rev. D 102, 074012 (2020).
  106. Dune fluxes, https://glaucus.crc.nd.edu/DUNEFluxes/ (2019).
  107. A. Abed Abud et al. (DUNE Collaboration), arXiv:2203.06100.
  108. G. P. Lepage and S. J. Brodsky, Phys. Rev. D 22, 2157 (1980).
  109. V. L. Chernyak and A. R. Zhitnitsky, Phys. Rep. 112, 173 (1984).
  110. T. Becher and R. J. Hill, Phys. Lett. B 633, 61 (2006).
  111. G. Lee, J. R. Arrington, and R. J. Hill, Phys. Rev. D 92, 013013 (2015).
  112. Z. Ye, J. Arrington, R. J. Hill, and G. Lee, Phys. Lett. B 777, 8 (2018).
  113. O. Tomalak, Q. Chen, R. J. Hill, and K. S. McFarland, Nat. Commun. 13, 5286 (2022).
  114. O. Tomalak, Q. Chen, R. J. Hill, K. S. McFarland, and C. Wret, Phys. Rev. D 106, 093006 (2022).
  115. A. Bodek, S. Avvakumov, R. Bradford, and H. S. Budd, Eur. Phys. J. C 53, 349 (2008).
  116. R. J. Hill, P. Kammel, W. J. Marciano, and A. Sirlin, Rep. Prog. Phys. 81, 096301 (2018).
  117. G. D’Agostini, Nucl. Instrum. Methods Phys. Res., Sect. A 346, 306 (1994).
  118. V. Dmitrasinovic and S. J. Pollock, Phys. Rev. C 52, 1061 (1995).
  119. R. Lewis, Eur. Phys. J. A 32, 409 (2007).
  120. B. Kubis and R. Lewis, Phys. Rev. C 74, 015204 (2006).
  121. G. A. Miller, Phys. Rev. C 57, 1492 (1998).
  122. L. Alvarez-Ruso et al., arXiv:2203.11298.
  123. Wolfram Research, Inc., Mathematica, version 12.2.0.0 (Wolfram Research, Inc., Champaign, IL, 2022), https://support.wolfram.com/41360.
  124. F. James and M. Roos, Comput. Phys. Commun. 10, 343 (1975).
  125. M. R. MacAskill, J. Stat. Softw. 47, 1 (2012).

Outline

Information

Phys. Rev. D 109, L051301– Published 1 March, 2024
  • Received 13 September 2023
  • Accepted 24 January 2024
Crossmark - Check for updates button
Creative Commons Logo

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation