Abstract
The neutrino oscillation probabilities in vacuum and matter are discussed, considering the framework of three active and one light sterile neutrinos. We study in detail the rephasing invariants and CP asymmetry observables, and investigate the four-neutrino oscillations in long-baseline neutrino experiments, such as DUNE, NOνA and T2HK. Our results show that the matter effect enhances quite a significantly the oscillation probabilities of electron neutrino and electron antineutrino appearance channels within a certain energy range, while no considerable change arises in the CP asymmetry analysis due to the matter effect. Moreover, separation between the results with and without the sterile neutrino is not so significant and that is also affected by CP-violating phases. Comparing the results for these three experiments, all of them have similar features, nevertheless, sizes and separations of the oscillation probabilities in DUNE are bit larger.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
LSND collaboration, Evidence for neutrino oscillations from the observation of \( {\overline{v}}_e \)appearance in a \( {\overline{v}}_{\mu } \)beam, Phys. Rev. D 64 (2001) 112007 [hep-ex/0104049] [INSPIRE].
MiniBooNE collaboration, Significant Excess of ElectronLike Events in the MiniBooNE Short-Baseline Neutrino Experiment, Phys. Rev. Lett. 121 (2018) 221801 [arXiv:1805.12028] [INSPIRE].
G. Mention et al., The Reactor Antineutrino Anomaly, Phys. Rev. D 83 (2011) 073006 [arXiv:1101.2755] [INSPIRE].
T.A. Mueller et al., Improved Predictions of Reactor Antineutrino Spectra, Phys. Rev. C 83 (2011) 054615 [arXiv:1101.2663] [INSPIRE].
P. Huber, On the determination of anti-neutrino spectra from nuclear reactors, Phys. Rev. C 84 (2011) 024617 [Erratum ibid. C 85 (2012) 029901] [arXiv:1106.0687] [INSPIRE].
GALLEX collaboration, GALLEX solar neutrino observations: Results for GALLEX IV, Phys. Lett. B 447 (1999) 127 [INSPIRE].
F. Kaether, W. Hampel, G. Heusser, J. Kiko and T. Kirsten, Reanalysis of the GALLEX solar neutrino flux and source experiments, Phys. Lett. B 685 (2010) 47 [arXiv:1001.2731] [INSPIRE].
SAGE collaboration, Measurement of the solar neutrino capture rate with gallium metal, Phys. Rev. C 60 (1999) 055801 [astro-ph/9907113] [INSPIRE].
SAGE collaboration, Measurement of the solar neutrino capture rate with gallium metal. III: Results for the 2002–2007 data-taking period, Phys. Rev. C 80 (2009) 015807 [arXiv:0901.2200] [INSPIRE].
DUNE collaboration, Long-Baseline Neutrino Facility (LBNF) and Deep Underground Neutrino Experiment (DUNE) Conceptual Design Report Volume 1: The LBNF and DUNE Projects, arXiv:1601.05471 [INSPIRE].
DUNE collaboration, Long-Baseline Neutrino Facility (LBNF) and Deep Underground Neutrino Experiment (DUNE) Conceptual Design Report Volume 2: The Physics Program for DUNE at LBNF, arXiv:1512.06148 [INSPIRE].
DUNE collaboration, Long-Baseline Neutrino Facility (LBNF) and Deep Underground Neutrino Experiment (DUNE) Conceptual Design Report Volume 3: Long-Baseline Neutrino Facility for DUNE, arXiv:1601.05823 [INSPIRE].
DUNE collaboration, Long-Baseline Neutrino Facility (LBNF) and Deep Underground Neutrino Experiment (DUNE) Conceptual Design Report Volume 4: The DUNE Detectors at LBNF, arXiv:1601.02984 [INSPIRE].
NOνA collaboration, The NOvA Technical Design Report, FERMILAB-DESIGN-2007-01 (2007) [INSPIRE].
Hyper-Kamiokande proto-collaboration, Physics potential of a long-baseline neutrino oscillation experiment using a J-PARC neutrino beam and Hyper-Kamiokande, PTEP 2015 (2015) 053C02 [arXiv:1502.05199] [INSPIRE].
C. Liu and J.-H. Song, Four light neutrinos in singular seesaw mechanism with Abelian flavor symmetry, Phys. Rev. D 60 (1999) 036002 [hep-ph/9812381] [INSPIRE].
J. Barry, W. Rodejohann and H. Zhang, Light Sterile Neutrinos: Models and Phenomenology, JHEP 07 (2011) 091 [arXiv:1105.3911] [INSPIRE].
S. Kawai and N. Okada, eV-scale sterile neutrinos from an extra dimension, Phys. Rev. D 100 (2019) 115043 [arXiv:1910.02936] [INSPIRE].
J.M. Berryman, A. de Gouvêa, K.J. Kelly and A. Kobach, Sterile neutrino at the Deep Underground Neutrino Experiment, Phys. Rev. D 92 (2015) 073012 [arXiv:1507.03986] [INSPIRE].
R. Gandhi, B. Kayser, M. Masud and S. Prakash, The impact of sterile neutrinos on CP measurements at long baselines, JHEP 11 (2015) 039 [arXiv:1508.06275] [INSPIRE].
S.K. Agarwalla, S.S. Chatterjee, A. Dasgupta and A. Palazzo, Discovery Potential of T2K and NOvA in the Presence of a Light Sterile Neutrino, JHEP 02 (2016) 111 [arXiv:1601.05995] [INSPIRE].
S.K. Agarwalla, S.S. Chatterjee and A. Palazzo, Physics Reach of DUNE with a Light Sterile Neutrino, JHEP 09 (2016) 016 [arXiv:1603.03759] [INSPIRE].
D. Dutta, R. Gandhi, B. Kayser, M. Masud and S. Prakash, Capabilities of long-baseline experiments in the presence of a sterile neutrino, JHEP 11 (2016) 122 [arXiv:1607.02152] [INSPIRE].
K.J. Kelly, Searches for new physics at the Hyper-Kamiokande experiment, Phys. Rev. D 95 (2017) 115009 [arXiv:1703.00448] [INSPIRE].
S. Choubey, D. Dutta and D. Pramanik, Imprints of a light Sterile Neutrino at DUNE, T2HK and T2HKK, Phys. Rev. D 96 (2017) 056026 [arXiv:1704.07269] [INSPIRE].
P. Coloma, D.V. Forero and S.J. Parke, DUNE Sensitivities to the Mixing between Sterile and Tau Neutrinos, JHEP 07 (2018) 079 [arXiv:1707.05348] [INSPIRE].
S. Choubey, D. Dutta and D. Pramanik, Measuring the Sterile Neutrino CP Phase at DUNE and T2HK, Eur. Phys. J. C 78 (2018) 339 [arXiv:1711.07464] [INSPIRE].
S. Gupta, Z.M. Matthews, P. Sharma and A.G. Williams, The Effect of a Light Sterile Neutrino at NOνA and DUNE, Phys. Rev. D 98 (2018) 035042 [arXiv:1804.03361] [INSPIRE].
S. Choubey, D. Dutta and D. Pramanik, Exploring fake solutions in the sterile neutrino sector at long-baseline experiments, Eur. Phys. J. C 79 (2019) 968 [arXiv:1811.08684] [INSPIRE].
PTOLEMY collaboration, Neutrino physics with the PTOLEMY project: active neutrino properties and the light sterile case, JCAP 07 (2019) 047 [arXiv:1902.05508] [INSPIRE].
M. Lindner, W. Rodejohann and X.-J. Xu, Sterile neutrinos in the light of IceCube, JHEP 01 (2016) 124 [arXiv:1510.00666] [INSPIRE].
T2K collaboration, Search for light sterile neutrinos with the T2K far detector Super-Kamiokande at a baseline of 295 km, Phys. Rev. D 99 (2019) 071103 [arXiv:1902.06529] [INSPIRE].
Y. Kamo, S. Yajima, Y. Higasida, S.-I. Kubota, S. Tokuo and J.-I. Ichihara, Analytical calculations of four neutrino oscillations in matter, Eur. Phys. J. C 28 (2003) 211 [hep-ph/0209097] [INSPIRE].
W. Li, J. Ling, F. Xu and B. Yue, Matter Effect of Light Sterile Neutrino: An Exact Analytical Approach, JHEP 10 (2018) 021 [arXiv:1808.03985] [INSPIRE].
S.J. Parke and X. Zhang, Compact Perturbative Expressions for Oscillations with Sterile Neutrinos in Matter, Phys. Rev. D 101 (2020) 056005 [arXiv:1905.01356] [INSPIRE].
K.N. Abazajian et al., Light Sterile Neutrinos: A White Paper, arXiv:1204.5379 [INSPIRE].
S. Böser et al., Status of Light Sterile Neutrino Searches, Prog. Part. Nucl. Phys. 111 (2020) 103736 [arXiv:1906.01739] [INSPIRE].
A. Diaz, C.A. Argüelles, G.H. Collin, J.M. Conrad and M.H. Shaevitz, Where Are We With Light Sterile Neutrinos?, arXiv:1906.00045 [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, Phys. Rev. D 98 (2018) 030001 [INSPIRE].
I. Esteban, M.C. Gonzalez-Garcia, A. Hernandez-Cabezudo, M. Maltoni and T. Schwetz, Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of θ23 , δCP and the mass ordering, JHEP 01 (2019) 106 [arXiv:1811.05487] [INSPIRE].
H. Zhang, Sum rules of four-neutrino mixing in matter, Mod. Phys. Lett. A 22 (2007) 1341 [hep-ph/0606040] [INSPIRE].
C. Jarlskog, Commutator of the Quark Mass Matrices in the Standard Electroweak Model and a Measure of Maximal CP-violation, Phys. Rev. Lett. 55 (1985) 1039 [INSPIRE].
D.-d. Wu, The Rephasing Invariants and CP, Phys. Rev. D 33 (1986) 860 [INSPIRE].
W.-l. Guo and Z.-z. Xing, Rephasing invariants of CP and T violation in the four neutrino mixing models, Phys. Rev. D 65 (2002) 073020 [hep-ph/0112121] [INSPIRE].
V.D. Barger, Y.-B. Dai, K. Whisnant and B.-L. Young, Neutrino mixing, CP/T violation and textures in four neutrino models, Phys. Rev. D 59 (1999) 113010 [hep-ph/9901388] [INSPIRE].
A. Kalliomaki, J. Maalampi and M. Tanimoto, Search for CP-violation at a neutrino factory in a four neutrino model, Phys. Lett. B 469 (1999) 179 [hep-ph/9909301] [INSPIRE].
A. Donini, M.B. Gavela, P. Hernández and S. Rigolin, Four species neutrino oscillations at neutrino factory: Sensitivity and CP-violation, Nucl. Instrum. Meth. A 451 (2000) 58 [hep-ph/9910516] [INSPIRE].
Z.-z. Xing, Sum rules of neutrino masses and CP-violation in the four neutrino mixing scheme, Phys. Rev. D 64 (2001) 033005 [hep-ph/0102021] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 1911.12524
Rights and permissions
This article is published under an open access license. Please check the 'Copyright Information' section either on this page or in the PDF for details of this license and what re-use is permitted. If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and re-use information, please contact the Rights and Permissions team.
About this article
Cite this article
Reyimuaji, Y., Liu, C. Prospects of light sterile neutrino searches in long-baseline neutrino oscillations. J. High Energ. Phys. 2020, 94 (2020). https://doi.org/10.1007/JHEP06(2020)094
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP06(2020)094