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Radiative Corrections to Inverse Beta Decay: Precision Analysis for Reactor Neutrinos
Phys. Rev. Lett. 137, 131806 – Published 25 September, 2026
DOI: https://doi.org/10.1103/zbcz-nkpd
Abstract
We present a complete calculation of radiative corrections to the inverse beta decay reaction, , at reactor antineutrino energies using heavy-baryon chiral perturbation theory. Our analysis consistently incorporates quantum electrodynamics, chromodynamics, and electroweak contributions for the first time within this framework. We provide updated, high-precision cross-section predictions with a full error budget and present the positron energy spectrum, including radiative effects. The results are essential for normalizing the reactor antineutrino flux, determining neutrino oscillation parameters with subpercent accuracy, and searching for new physics at nuclear power plants.
Physics Subject Headings (PhySH)
See Also
Theory of inverse beta decay for reactor antineutrinos
Article Text
References (132)
- P. Huber, Phys. Rev. C 84, 024617 (2011); 85, 029901(E) (2012).
- T. A. Mueller et al., Phys. Rev. C 83, 054615 (2011).
- D. Adey et al. (Daya Bay Collaboration), Phys. Rev. Lett. 121, 241805 (2018).
- F. An et al. (JUNO Collaboration), J. Phys. G 43, 030401 (2016).
- A. Abusleme et al. (JUNO Collaboration), Prog. Part. Nucl. Phys. 123, 103927 (2022).
- A. Abusleme et al. (JUNO Collaboration), Chin. Phys. C 50, 043001 (2026).
- A. Abusleme et al. (JUNO Collaboration), arXiv:2511.14590.
- A. Sirlin, Rev. Mod. Phys. 50, 573 (1978); 50, 905(E) (1978).
- D. A. Dicus, E. W. Kolb, A. M. Gleeson, E. C. G. Sudarshan, V. L. Teplitz, and M. S. Turner, Phys. Rev. D 26, 2694 (1982).
- P. Vogel, Phys. Rev. D 29, 1918 (1984).
- S. A. Fayans, Sov. J. Nucl. Phys. 42, 590 (1985).
- D. Y. Bardin and V. A. Dokuchaeva, Nucl. Phys. B246, 221 (1984).
- D. Y. Bardin and V. A. Dokuchaeva, Sov. J. Nucl. Phys. 43, 975 (1986), https://lib-extopc.kek.jp/preprints/PDF/1985/8511/8511286.pdf.
- D. Seckel, arXiv:hep-ph/9305311.
- I. S. Towner, Phys. Rev. C 58, 1288 (1998).
- P. Vogel and J. F. Beacom, Phys. Rev. D 60, 053003 (1999).
- C. J. Horowitz, Phys. Rev. D 65, 043001 (2002).
- A. Kurylov, M. J. Ramsey-Musolf, and P. Vogel, Phys. Rev. C 65, 055501 (2002).
- A. Kurylov, M. J. Ramsey-Musolf, and P. Vogel, Phys. Rev. C 67, 035502 (2003).
- A. Strumia and F. Vissani, Phys. Lett. B 564, 42 (2003).
- M. Fukugita and T. Kubota, Acta Phys. Pol. B 35, 1687 (2004), https://www.actaphys.uj.edu.pl/fulltext?series=Reg&vol=35&page=1687.
- M. Fukugita and T. Kubota, Phys. Rev. D 72, 071301 (2005); 74, 039906(E) (2006).
- P. Vogel, Nucl. Phys. A777, 340 (2006).
- U. Raha, F. Myhrer, and K. Kubodera, Phys. Rev. C 85, 045502 (2012); 86, 039903(E) (2012).
- T. Leitner, L. Alvarez-Ruso, and U. Mosel, Phys. Rev. C 73, 065502 (2006).
- A. C. Hayes and P. Vogel, Annu. Rev. Nucl. Part. Sci. 66, 219 (2016).
- A. M. Ankowski, arXiv:1601.06169.
- C. Giunti, arXiv:1602.00215.
- A. N. Ivanov, arXiv:1705.09573.
- G. Ricciardi, N. Vignaroli, and F. Vissani, J. High Energy Phys. 08 (2022) 212.
- D. Altarawneh, R. Höllwieser, and M. Wellenzohn, Universe 10, 415 (2024).
- S. Ando, H. W. Fearing, V. P. Gudkov, K. Kubodera, F. Myhrer, S. Nakamura, and T. Sato, Phys. Lett. B 595, 250 (2004).
- V. Cirigliano, W. Dekens, E. Mereghetti, and O. Tomalak, Phys. Rev. D 108, 053003 (2023).
- M. Ram, Phys. Rev. 155, 1539 (1967).
- O. Tomalak and R. J. Hill, Phys. Rev. D 101, 033006 (2020).
- O. Tomalak, Phys. Lett. B 829, 137108 (2022).
- O. Tomalak, Q. Chen, R. J. Hill, and K. S. McFarland, Nat. Commun. 13, 5286 (2022).
- O. Tomalak, Q. Chen, R. J. Hill, K. S. McFarland, and C. Wret, Phys. Rev. D 106, 093006 (2022).
- O. Tomalak, K. Borah, R. J. Hill, K. S. McFarland, and D. Ruterbories, Phys. Rev. D 107, 093005 (2023).
- A. Falkowski, M. González-Alonso, A. Palavrić, and A. Rodríguez-Sánchez, J. High Energy Phys. 02 (2024) 091.
- V. Cirigliano, J. de Vries, L. Hayen, E. Mereghetti, and A. Walker-Loud, Phys. Rev. Lett. 129, 121801 (2022).
- E. Fermi, Z. Phys. 88, 161 (1934).
- R. P. Feynman and M. Gell-Mann, Phys. Rev. 109, 193 (1958).
- T. van Ritbergen and R. G. Stuart, Nucl. Phys. B564, 343 (2000).
- V. Tishchenko et al. (MuLan Collaboration), Phys. Rev. D 87, 052003 (2013).
- N. Cabibbo, Phys. Rev. Lett. 10, 531 (1963).
- M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 49, 652 (1973).
- P. A. Zyla et al. (Particle Data Group), Prog. Theor. Exp. Phys. 2020, 083C01 (2020).
- O. Tomalak, Few Body Syst. 64, 23 (2023).
- V. Cirigliano, W. Dekens, E. Mereghetti, and O. Tomalak, Phys. Rev. D 111, 053005 (2025).
- W. J. Marciano and A. Sirlin, Phys. Rev. Lett. 96, 032002 (2006).
- C. Y. Seng, M. Gorchtein, and M. J. Ramsey-Musolf, Phys. Rev. D 100, 013001 (2019).
- C.-Y. Seng, M. Gorchtein, H. H. Patel, and M. J. Ramsey-Musolf, Phys. Rev. Lett. 121, 241804 (2018).
- A. Czarnecki, W. J. Marciano, and A. Sirlin, Phys. Rev. D 100, 073008 (2019).
- L. Hayen, Phys. Rev. D 103, 113001 (2021).
- K. Shiells, P. G. Blunden, and W. Melnitchouk, Phys. Rev. D 104, 033003 (2021).
- F. Moretti, M. Gorbahn, and S. Jäger, arXiv:2510.27648.
- M. Beck et al., Phys. Rev. C 101, 055506 (2020).
- S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
- J. Beringer (PDG Collaboration), Nuovo Cimento Soc. Ital. Fis. 47C, 206 (2024).
- R. L. Workman et al. (Particle Data Group), Prog. Theor. Exp. Phys. 2022, 083C01 (2022).
- F. E. Wietfeldt, Atoms 6, 70 (2018).
- A. Czarnecki, W. J. Marciano, and A. Sirlin, Phys. Rev. Lett. 120, 202002 (2018).
- D. Castelvecchi, Nature (London) 598, 7857 (2021).
- S. Gardner and M. Zakeri, Universe 10, 67 (2024).
- J. C. Hardy and I. S. Towner, Phys. Rev. C 102, 045501 (2020).
- M. Gorchtein, Phys. Rev. Lett. 123, 042503 (2019).
- V. Cirigliano, W. Dekens, J. de Vries, S. Gandolfi, M. Hoferichter, and E. Mereghetti, Phys. Rev. Lett. 133, 211801 (2024).
- V. Cirigliano, W. Dekens, J. de Vries, S. Gandolfi, M. Hoferichter, and E. Mereghetti, Phys. Rev. C 110, 055502 (2024).
- D. Adey et al. (Daya Bay Collaboration), Nucl. Instrum. Methods Phys. Res., Sect. A 940, 230 (2019).
- J. Gasser and H. Leutwyler, Ann. Phys. (N.Y.) 158, 142 (1984).
- G. Gamow, Z. Phys. 51, 204 (1928).
- A. Sommerfeld, Ann. Phys. (Berlin) 403, 257 (1931).
- E. J. Konopinski and G. E. Uhlenbeck, Phys. Rev. 48, 7 (1935).
- M. Morita, Prog. Theor. Phys. Suppl. 26, 1 (1963).
- F. L. Wilson, Am. J. Phys. 36, 1150 (1968).
- T. A. Halpern and B. Chern, Phys. Rev. 175, 1314 (1968).
- T. A. Halpern, Phys. Rev. C 1, 1928 (1970).
- D. H. Wilkinson, Nucl. Phys. A377, 474 (1982).
- A. H. Hoang, Phys. Rev. D 56, 7276 (1997).
- A. H. Hoang, Phys. Rev. D 56, 5851 (1997).
- A. Czarnecki and K. Melnikov, Phys. Rev. Lett. 80, 2531 (1998).
- M. Beneke, A. Signer, and V. A. Smirnov, Phys. Lett. B 454, 137 (1999).
- M. Hoferichter, B. Kubis, and U. G. Meissner, Nucl. Phys. A833, 18 (2010).
- A. Matsuzaki and H. Tanaka, Phys. Rev. C 86, 065502 (2012).
- A. Matsuzaki and H. Tanaka, arXiv:1310.4082.
- R. J. Hill and R. Plestid, Phys. Rev. Lett. 133, 021803 (2024).
- A. Sirlin, Phys. Rev. 164, 1767 (1967).
- A. Garcia and M. Maya, Phys. Rev. D 17, 1376 (1978).
- V. Bernard, S. Gardner, U. G. Meißner, and C. Zhang, Phys. Lett. B 593, 105 (2004); 599, 348(E) (2004).
- S. Gardner and D. He, Phys. Rev. D 86, 016003 (2012).
- O. Tomalak, Q. Liu, and Y.-F. Li, companion paper, Phys. Rev. D 114, 053010 (2026).
- C. Giunti, Y. F. Li, C. A. Ternes, and Z. Xin, Phys. Lett. B 829, 137054 (2022).
- M. Estienne et al., Phys. Rev. Lett. 123, 022502 (2019).
- L. Hayen, J. Kostensalo, N. Severijns, and J. Suhonen, Phys. Rev. C 100, 054323 (2019).
- Y.-F. Li and D. Zhang, Phys. Rev. D 100, 053005 (2019).
- S. V. Silaeva and V. V. Sinev, arXiv:2012.09917.
- A. Letourneau, V. Savu, D. Lhuillier, T. Lasserre, T. Materna, G. Mention, X. Mougeot, A. Onillon, L. Perisse, and M. Vivier, Phys. Rev. Lett. 130, 021801 (2023).
- L. Perissé, A. Onillon, X. Mougeot, M. Vivier, T. Lasserre, A. Letourneau, D. Lhuillier, and G. Mention, Phys. Rev. C 108, 055501 (2023).
- D. V. Popov and M. D. Skorokhvatov, Phys. Part. Nucl. Lett. 20, 1 (2023).
- C. Zhang, X. Qian, and M. Fallot, Prog. Part. Nucl. Phys. 136, 104106 (2024).
- P. Bakhti, M.-G. Park, M. Rajaee, C. S. Shin, and S. Shin, Phys. Rev. D 112, 055046 (2025).
- X. Zhang, A. Irani, M. P. Mendenhall, N. Rybicki, L. Hayen, N. Bowden, P. Huber, B. Littlejohn, and S. Bogetic, Comput. Phys. Commun. 317, 109831 (2025).
- C. Giunti, Y. F. Li, and R. P. Zhang, arXiv:2605.10353.
- J. H. Choi et al. (RENO Collaboration), Phys. Rev. Lett. 116, 211801 (2016).
- F. P. An et al. (Daya Bay Collaboration), Phys. Rev. Lett. 116, 061801 (2016); 118, 099902(E) (2017).
- F. P. An et al. (Daya Bay Collaboration), Phys. Rev. Lett. 129, 041801 (2022).
- F. P. An et al. (Daya Bay Collaboration), Phys. Rev. Lett. 134, 201802 (2025).
- M. Andriamirado et al. (PROSPECT Collaboration), Phys. Rev. Lett. 131, 021802 (2023).
- M. Andriamirado et al. (PROSPECT Collaboration), Phys. Rev. Lett. 134, 151802 (2025).
- H. Almazán et al. (STEREO Collaboration), J. Phys. G 48, 075107 (2021).
- H. Almazán et al. (STEREO Collaboration), Nature (London) 613, 257 (2023).
- Y. J. Ko et al. (NEOS Collaboration), Phys. Rev. Lett. 118, 121802 (2017).
- Y. Abe et al. (Double Chooz Collaboration), J. High Energy Phys. 10 (2014) 086; 02 (2015) 74.
- Double Chooz Collaboration, Nat. Phys. 16, 558 (2020).
- Y. Abreu et al. (SoLid Collaboration), Phys. Rev. D 111, 072005 (2025).
- A. P. Serebrov et al., Phys. Rev. D 104, 032003 (2021).
- G. Mention, M. Fechner, T. Lasserre, T. A. Mueller, D. Lhuillier, M. Cribier, and A. Letourneau, Phys. Rev. D 83, 073006 (2011).
- A. C. Hayes, J. L. Friar, G. T. Garvey, G. Jungman, and G. Jonkmans, Phys. Rev. Lett. 112, 202501 (2014).
- A. C. Hayes, J. L. Friar, G. T. Garvey, D. Ibeling, G. Jungman, T. Kawano, and R. W. Mills, Phys. Rev. D 92, 033015 (2015).
- A. A. Sonzogni, E. A. McCutchan, and A. C. Hayes, Phys. Rev. Lett. 119, 112501 (2017).
- F. Bloch and A. Nordsieck, Phys. Rev. 52, 54 (1937).
- N. Nakanishi, Prog. Theor. Phys. 19, 159 (1958).
- D. R. Yennie, S. C. Frautschi, and H. Suura, Ann. Phys. (N.Y.) 13, 379 (1961).
- T. Kinoshita, J. Math. Phys. (N.Y.) 3, 650 (1962).
- R. Mertig, M. Bohm, and A. Denner, Comput. Phys. Commun. 64, 345 (1991).
- V. Shtabovenko, R. Mertig, and F. Orellana, Comput. Phys. Commun. 207, 432 (2016).
- T. Hahn and M. Perez-Victoria, Comput. Phys. Commun. 118, 153 (1999).
- D. Binosi and L. Theußl, Comput. Phys. Commun. 161, 76 (2004).
- Wolfram Research, Inc., Mathematica, Version 12.2.0.0 (2022), Champaign, IL.
- M. R. MacAskill, J. Stat. Softw. 47, 1 (2012).
- http://github.com/tomalak7/IBDxsec.