Abstract
We discuss a possibility that the so-called reactor antineutrino anomaly can be, at least in part, explained by applying a quantum field-theoretical approach to neutrino oscillations, which in particular predicts a small deviation from the classical inverse-square law at short but macroscopic distances between the neutrino source and detector. An extensive statistical analysis of the reactor data is performed to examine this speculation.
Similar content being viewed by others
References
Th. A. Mueller, D. Lhuillier, M. Fallot, A. Letourneau, S. Cormon, M. Fechner, L. Giot, T. Lasserre, J. Martino, G. Mention, A. Porta, and F. Yermia, “Improved predictions of reactor antineutrino spectra”, Phys. Rev. C 83, 054615 (2011).
P. Huber, “On the determination of antineutrino spectra from nuclear reactors”, Phys. Rev. C 84, 024617 (2011)
P. Huber, “On the determination of antineutrino spectra from nuclear reactors”, Phys. Rev. C 85(E), 029901 (2012).
G. Mention, M. Fechner, Th. Lasserre, Th. A. Mueller, D. Lhuillier, M. Cribier, and A. Letourneau, “The reactor antineutrino anomaly”, Phys. Rev. D 83, 073006 (2011).
H. Kwon, F. Boehm, A. A. Hahn, H. E. Henrikson, J. L. Vuilleumier, J. F. Cavaignac, D. H. Koang, B. Vignon, F. Von Feilitzsch, and R. L. Mössbauer, “Search for neutrino oscillations at a fission reactor”, Phys. Rev. D 24, 1097–1111 (1981).
A. Hoummada, S. Lazrak Mikou, M. Avenier, G. Bagieu, J. F. Cavaignac, and D. H. Koang, “Neutrino oscillations I.L.L. experiment reanalysis”, Appl. Radiat. Isot. 46, 449–450 (1995).
G. Zacek, F. von Feilitzsch, R. L. Mössbauer, L. Oberauer, V. Zacek, F. Boehm, P. H. Fisher, J. L. Gimlett, A. A. Hahn, H. E. Henrikson, H. Kwon, J. L. Vuilleumier, and K. Gabathuler, “Neutrino oscillation experiments at the Gösgen nuclear power reactor”, Phys. Rev. D 34, 2621–2636 (1986).
G. S. Vidyakin, V. N. Vyrodov, I. I. Gurevich, Yu. V. Kozlov, V. P. Martemyanov, S. V. Sukhotin, V. G. Tarasenkov, and S. Kh. Khakimov, “Detection of antineutrinos in the flux from two reactors”, Zh. Eksp. Teor. Fiz. 93, 434–421 (1987).
G. S. Vidyakin, V. N. Vyrodov, Yu. V. Kozlov, A. V. Martem’yanov, V. P. Martem’yanov, A. N. Odinokov, S. V. Sukhotin, V. G. Tarasenkov, E. V. Turbin, S. G. Tyurenkov, S. V. Khalturtsev, and S. Kh. Khakimov, “Limitations on the characteristics of neutrino oscillations”, Pisma Zh. Eksp. Teor. Fiz. 59, 364–367 (1994).
A. I. Afonin, S. N. Ketov, V. I. Kopeikin, L. A. Mikaelyan, M. D. Skorokhvatov, and S. V. Tolokonnikov, “A study of the reaction V e + p 2192; e + n on a nuclear reactor”, Zh. Eksp. Teor. Fiz. 94, 1–17 (1988).
A. A. Kuvshinnikov, L. A. Mikaélyan, S. V. Nikolaev, M. D. Skorokhvatov, and A. F. Etenko, “Precise measurement of the cross section for the reaction V e + p at a reactor of the Rovno nuclear power plant”, Pisma Zh. Eksp. Teor. Fiz. 54, 259–262 (1991).
S. N. Ketov, I. N. Machulin, L. A. Mikaelyan, S. V.Nikolaev, O. A. Petrovichev, M. D. Skorokhvatov, and A. V. Etenko, “Reactor experiments of a new type to detect neutrino oscillations”, Pisma Zh. Eksp. Teor. Fiz. 55, 544–547 (1992).
Y. Declais, H. de Kerret, B. Lefievre, M. Obolensky, A. V. Etenko, Yu. V. Kozlov, I. N. Machulin, V. P. Martemianov, L. A. Mikaelyan, M. D. Skorokhvatov, S. V. Sukhotin, and V. N. Vyrodov, “Study of reactor antineutrino interaction with proton at Bugey nuclear power plant”, Phys. Lett. B 338, 383–389 (1994).
B. Achkar, R. Aleksan, M. Avenier, G. Bagieu, J. Bouchez, J. Brissot, J.-F. Cavaignac, J. Collot, M- C. Cousinou, J. P. Cussonneau, Y. Declais, Y. Dufour, J. Favier, F. Garciaz, E. Kajfasz, H. de Kerret, D. H. Koang, B. Lefievre, E. Lesquoy, J. Mallet, A. Metref, E. Nagy, H. Pessard, F. Pierre, M. Obolensky, A. Stutz, and J. P. Wuthrick, “Search for neutrino oscillations at 15, 40 and 95 meters from a nuclear power reactor at Bugey”, Nucl. Phys. B 434, 503–534 (1995).
Z. D. Greenwood, W. R. Kropp, M. A. Mandelkern, S. Nakamura, E. L. Pasierb-Love, L. R. Price, F. Reines, S. P. Riley, and H. W. Sobel, “Results of a two position reactor neutrino oscillation experiment”, Phys. Rev. D 53, 6054–6064 (1996).
K. A. Olive et al. (Particle Data Group Collab.), “Review of Particle Physics”, Chin. Phys. C 38, 090001 (2014).
A. N. Ivanov, R. Hollwieser, N. I. Troitskaya, M. Wellenzohn, O. M. Zherebtsov, and A. P. Serebrov, “Deficit of reactor antineutrinos at distances smaller than 100 m and inverse -decay”, Phys. Rev. C 88, 055501 (2013).
F. Boehm, J. Busenitz, B. Cook, G. Gratta, H. Henrikson, J. Kornis, D. Lawrence, K. B. Lee, K. McKinney, L.Miller, V. Novikov, A. Piepke, B. Ritchie, D. Tracy, P. Vogel, Y.-F. Wang, and J. Wolf, “Final results from the Palo Verde neutrino oscillation experiment,” Phys. Rev. D 64, 112001 (2001).
M. Apollonio et al. (CHOOZ Collab.), “Search for neutrino oscillations on a long baseline at the CHOOZ nuclear power station”, Eur. Phys. J. C 27, 331–374 (2003).
Y. Abe et al. (Double Chooz Collab.), “Reactor electron antineutrino disappearance in the Double Chooz experiment”, Phys. Rev. D 86, 052008 (2012).
Y. Abe et al. (Double Chooz Collab.), “First measurement of from delayed neutron capture on hydrogen in the Double Chooz experiment”, Phys. Lett. B 723, 66–70 (2013).
T. Araki et al. (KamLAND Collab.), “Measurement of neutrino oscillation with KamLAND: Evidence of spectral distortion”, Phys. Rev. Lett. 94, 081801 (2005).
J. K. Ahn et al. (RENO Collab.), “Observation of reactor electron antineutrino disappearance in the RENO experiment,” Phys. Rev. Lett. 108, 191802 (2012).
F. P. An et al. (Daya Bay Collab.), “Improved measurement of electron antineutrino disappearance at Daya Bay”, Chin. Phys. C 37, 011001 (2013).
D. V. Naumov, “Recent results from Daya Bay experiment”, EPJ Web Conf. 95, 04043 (2015).
J. Kopp, P. A. N. Machado, M. Maltoni, and T. Schwetz, “Sterile neutrino oscillations: The global picture”, JHEP 05, 050 (2013).
A. Gando et al. (KamLAND Collab.), “Constraints on from a three-flavor oscillation analysis of reactor antineutrinos at KamLAND”, Phys. Rev. D 83, 052002 (2011).
C. Zhang, X. Qian, and P. Vogel, “Reactor antineutrino anomaly with known”, Phys. Rev. D 87, 073018 (2013).
A. C. Hayes, J. L. Friar, G. T. Garvey, G. Jungman, and G. Jonkmans, “Systematic uncertainties in the analysis of the reactor neutrino anomaly”, Phys. Rev. Lett. 112, 202501 (2014).
D. A. Dwyer and T. J. Langford, “Spectral structure of electron antineutrinos from nuclear reactors”, Phys. Rev. Lett. 114, 012502 (2015).
V. A. Naumov and D. S. Shkirmanov, “Extended Grimus- Stockinger theorem and inverse square law violation in quantum field theory”, Eur. Phys. J. C 73, 2627 (2013).
V. A. Naumov and D. V. Naumov, “Relativistic wave packets in a field theoretical approach to neutrino oscillations”, Russ. Phys. J 53, 549–574 (2010).
D. V. Naumov and V. A. Naumov, “A diagrammatic treatment of neutrino oscillations”, J. Phys. G 37, 105014 (2010).
D. V. Naumov, “On the theory of wave packets”, Phys. Part. Nucl. Lett. 10, 642–650 (2013).
V. A. Naumov and D. S. Shkirmanov, “Covariant asymmetric wave packet for a field-theoretical description of neutrino oscillations”, Mod. Phys. Lett. A 30, 1550110 (2015).
W. Grimus and P. Stockinger, “Real oscillations of virtual neutrinos”, Phys. Rev. D 54, 3414–3419 (1996).
S. E. Korenblit and D. V. Taychenachev, “Extension of Grimus-Stockinger formula from operator expansion of free Green function”, Mod. Phys. Lett. A 30, 1550074 (2015).
M. Fallot, S. Cormon, M. Estienne, A. Algora, V. M. Bui, A. Cucoanes, M. Elnimr, L. Giot, D. Jordan, J.Martino, A. Onillon, A. Porta, G. Pronost, A. Remoto, J. L. Taín, F. Yermia, and A.-A. Zakari- Issoufou, “New antineutrino energy spectra predictions from the summation of beta decay branches of the fission products”, Phys. Rev. Lett. 109, 202504 (2012).
V. V. Sinev, “Experimental spectrum of reactor antineutrinos and spectra of main fissile isotopes”, Yad. Fiz. 76, 578–584 (2013).
N. Haag, A. Gutlein, M. Hofmann, L. Oberauer, W. Potzel, K. Schreckenbach, and F. M. Wagner, “Experimental determination of the antineutrino spectrum of the fission products of 238U”, Phys. Rev. Lett. 112, 122501 (2014).
Author information
Authors and Affiliations
Corresponding author
Additional information
The article is published in the original.
Talk at the International Workshop on Prospects of Particle Physics: “Neutrino Physics and Astrophysics”, Valday, Russia, February 1–8, 2015.
Rights and permissions
About this article
Cite this article
Naumov, D.V., Naumov, V.A. & Shkirmanov, D.S. Inverse-square law violation and reactor antineutrino anomaly. Phys. Part. Nuclei 48, 12–20 (2017). https://doi.org/10.1134/S1063779616060174
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063779616060174