- Open Access
Effects of the matter potential at one-loop level on neutrino oscillations in long-baseline experiments
Phys. Rev. D 111, 116024 – Published 27 June, 2025
DOI: https://doi.org/10.1103/b5h5-5gkc
Abstract
In this work, we investigate in a quantitative way how much radiative corrections to the matter potential for neutrino oscillations can impact the sensitivity to neutrino mass ordering in long-baseline accelerator experiments. Using numerical simulations for the future experiment DUNE, we find that the statistical significance for excluding the incorrect mass ordering can be enhanced by about if a one-loop correction of 2.0%—based on the Fermi coupling constant derived from measurements of muon lifetime—is included. The radiative corrections at one-loop level lead to resolving the neutrino mass ordering at confidence level 4–9 days earlier than at tree level. In contrast, the sensitivity to leptonic violation in DUNE is essentially unchanged. Finally, we emphasize that one-loop corrections should be incorporated into analyses of future neutrino oscillation data in a consistent and systematic manner.
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References (49)
- S. Navas et al., Review of particle physics, Phys. Rev. D 110, 030001 (2024).
- Z.-z. Xing, Flavor structures of charged fermions and massive neutrinos, Phys. Rep. 854, 1 (2020).
- F. An et al., Neutrino physics with JUNO, J. Phys. G 43, 030401 (2016).
- B. Abi et al., Deep Underground Neutrino Experiment (DUNE), Far Detector Technical Design Report, Volume II: DUNE Physics, arXiv:2002.03005.
- P. F. De Salas, S. Gariazzo, O. Mena, C. A. Ternes, and M. Tórtola, Neutrino mass ordering from oscillations and beyond: 2018 status and future prospects, Front. Astron. Space Sci. 5, 36 (2018).
- L. Wolfenstein, Neutrino oscillations in matter, Phys. Rev. D 17, 2369 (1978).
- L. Wolfenstein, Neutrino oscillations and stellar collapse, Phys. Rev. D 20, 2634 (1979).
- S. P. Mikheyev and A. Y. Smirnov, Resonance enhancement of oscillations in matter and solar neutrino spectroscopy, Sov. J. Nucl. Phys. 42, 913 (1985).
- S. P. Mikheyev and A. Y. Smirnov, Resonant amplification of oscillations in matter and solar-neutrino spectroscopy, Nuovo Cimento Soc. Ital. Fis. 9C, 17 (1986).
- J. Huang and S. Zhou, Mikheyev-Smirnov-Wolfenstein matter potential at the one-loop level in the Standard Model, Phys. Rev. D 108, 093010 (2023).
- A. Abusleme et al., Sub-percent precision measurement of neutrino oscillation parameters with JUNO, Chin. Phys. C 46, 123001 (2022).
- F. Capozzi, W. Giarè, E. Lisi, A. Marrone, A. Melchiorri, and A. Palazzo, Neutrino masses and mixing: Entering the era of subpercent precision, Phys. Rev. D 111, 093006 (2025).
- J. N. Bahcall, M. Kamionkowski, and A. Sirlin, Solar neutrinos: Radiative corrections in neutrino-electron scattering experiments, Phys. Rev. D 51, 6146 (1995).
- B. Abi et al., Experiment simulation configurations approximating DUNE TDR, arXiv:2103.04797.
- W. Shen and M. H. Ritzwoller, Crustal and uppermost mantle structure beneath the United States, J. Geophys. Res. Solid Earth 121, 4306 (2016).
- B. Pontecorvo, Mesonium and antimesonium, Sov. Phys. JETP 6, 429 (1958), http://jetp.ras.ru/cgi-bin/e/index/e/6/2/p429?a=list.
- Z. Maki, M. Nakagawa, and S. Sakata, Remarks on the unified model of elementary particles, Prog. Theor. Phys. 28, 870 (1962).
- A. Cervera, A. Donini, M. B. Gavela, J. J. Gomez Cádenas, P. Hernández, O. Mena, and S. Rigolin, Golden measurements at a neutrino factory, Nucl. Phys. B579, 17 (2000); B593, 731(E) (2001).
- M. Freund, Analytic approximations for three neutrino oscillation parameters and probabilities in matter, Phys. Rev. D 64, 053003 (2001).
- E. K. Akhmedov, R. Johansson, M. Lindner, T. Ohlsson, and T. Schwetz, Series expansions for three-flavor neutrino oscillation probabilities in matter, J. High Energy Phys. 04 (2004) 078.
- H. Nunokawa, S. J. Parke, and J. W. F. Valle, violation and neutrino oscillations, Prog. Part. Nucl. Phys. 60, 338 (2008).
- C. Giunti and C. W. Kim, Fundamentals of Neutrino Physics and Astrophysics (Oxford University Press, New York, 2007).
- Z.-z. Xing and S. Zhou, Neutrinos in Particle Physics, Astronomy and Cosmology (Springer, Berlin, Heidelberg, 2011).
- A. Sirlin, Theoretical considerations concerning the mass, Phys. Rev. Lett. 67, 2127 (1991).
- A. Sirlin, Observations concerning mass renormalization in the electroweak theory, Phys. Lett. B 267, 240 (1991).
- A. Pilaftsis, Resonant violation induced by particle mixing in transition amplitudes, Nucl. Phys. B504, 61 (1997).
- F. Jegerlehner, Renormalizing the standard model, Conf. Proc. C 900603, 476 (1990), https://inspirehep.net/files/5650271984ba70cb406069f8f18b3094.
- W. J. Marciano, Spin and precision electroweak physics, in Proceedings of the 21st Annual SLAC Summer Institute on Particle Physics: Spin Structure in High-energy Processes (School: 26 Jul–3 Aug 1993, Topical Conference: 4–6 Aug 1993) (SSI 93) (1993), pp. 35–56.
- W. J. Marciano and A. Sirlin, Some general properties of the corrections to parity violation in atoms, Phys. Rev. D 29, 75 (1984); 31, 213(E) (1985).
- W. F. L. Hollik, Radiative Corrections in the standard model and their role for precision tests of the electroweak theory, Fortschr. Phys. 38, 165 (1990).
- A. Denner, Techniques for the calculation of electroweak radiative corrections at the one-loop level and results for W-physics at LEP 200, Fortschr. Phys. 41, 307 (1993).
- F. J. Botella, C. S. Lim, and W. J. Marciano, Radiative corrections to neutrino indices of refraction, Phys. Rev. D 35, 896 (1987).
- A. Sirlin, Radiative corrections in the theory: A simple renormalization framework, Phys. Rev. D 22, 971 (1980).
- A. Denner and S. Dittmaier, Electroweak radiative corrections for collider physics, Phys. Rep. 864, 1 (2020).
- T. Ohlsson and H. Snellman, Neutrino oscillations with three flavors in matter: Applications to neutrinos traversing the Earth, Phys. Lett. B 474, 153 (2000); 480, 419(E) (2000).
- B. Jacobsson, T. Ohlsson, H. Snellman, and W. Winter, Effects of random matter density fluctuations on the neutrino oscillation transition probabilities in the Earth, Phys. Lett. B 532, 259 (2002).
- B. Jacobsson, T. Ohlsson, H. Snellman, and W. Winter, The effects of matter density uncertainties on neutrino oscillations in the Earth, J. Phys. G 29, 1873 (2003).
- T. Ohlsson and W. Winter, Role of matter density uncertainties in the analysis of future neutrino factory experiments, Phys. Rev. D 68, 073007 (2003).
- L.-Y. Shan, B.-L. Young, and X.-m. Zhang, violating neutrino oscillation and uncertainties in Earth matter density, Phys. Rev. D 66, 053012 (2002).
- R. J. Geller and T. Hara, Geophysical aspects of very long baseline neutrino experiments, Nucl. Instrum. Methods Phys. Res., Sect. A 503, 187 (2003).
- P. Huber, M. Lindner, and W. Winter, Superbeams vs. neutrino factories, Nucl. Phys. B645, 3 (2002).
- L.-Y. Shan and X.-M. Zhang, Solar neutrino zenith angle distribution and uncertainty in Earth’s matter density, Phys. Rev. D 65, 113011 (2002).
- K. J. Kelly and S. J. Parke, Matter density profile shape effects at DUNE, Phys. Rev. D 98, 015025 (2018).
- M. Ghosh and O. Yasuda, Effect of matter density in T2HK and DUNE, Nucl. Phys. B989, 116142 (2023).
- B. Roe, Matter density versus distance for the neutrino beam from Fermilab to Lead, South Dakota, and comparison of oscillations with variable and constant density, Phys. Rev. D 95, 113004 (2017).
- P. Huber, M. Lindner, and W. Winter, Simulation of long-baseline neutrino oscillation experiments with globes (General Long Baseline Experiment Simulator), Comput. Phys. Commun. 167, 195 (2005).
- P. Huber, J. Kopp, M. Lindner, M. Rolinec, and W. Winter, New features in the simulation of neutrino oscillation experiments with globes 3.0 (General Long Baseline Experiment Simulator), Comput. Phys. Commun. 177, 432 (2007).
- I. Esteban, M. C. Gonzalez-Garcia, M. Maltoni, I. Martinez-Soler, J. P. Pinheiro, and T. Schwetz, nufit-6.0: updated global analysis of three-flavor neutrino oscillations, J. High Energy Phys. 12 (2024) 216.
- I. Esteban et al., nufit 6.0 (2024), http://www.nu-fit.org/.