Constraining super-light sterile neutrinos at Borexino and KamLAND
Abstract The presence of a super-light sterile neutrino can lead to a dip in the survival probability of solar neutrinos, and explain the suppression of the upturn in the low energy solar neutrino data. In this work, we systematically study the survival probabilities in the 3+1 framework by taking i...
Ausführliche Beschreibung
Autor*in: |
Chen, Zikang [verfasserIn] |
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Englisch |
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2022 |
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© The Author(s) 2022 |
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Übergeordnetes Werk: |
Enthalten in: Journal of high energy physics - Berlin : Springer, 1997, 2022(2022), 9 vom: 01. Sept. |
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volume:2022 ; year:2022 ; number:9 ; day:01 ; month:09 |
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DOI / URN: |
10.1007/JHEP09(2022)004 |
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SPR048008052 |
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520 | |a Abstract The presence of a super-light sterile neutrino can lead to a dip in the survival probability of solar neutrinos, and explain the suppression of the upturn in the low energy solar neutrino data. In this work, we systematically study the survival probabilities in the 3+1 framework by taking into account of the non-adiabatic transitions and the coherence effect. We obtain an analytic equation that can predict the position of the dip. We also place constraints on the parameter space of sterile neutrinos by using the latest Borexino and KamLAND data. We find that the low and high energy neutrino data at Borexino are sensitive to different regions in the sterile neutrino parameter space. In the case with only θ01 being nonzero, the 8B data sets the strongest bounds at %$ \Delta {m}_{01}^2 %$≈ (1.1 ∼ 2.2)%$ \Delta {m}_{21}^2 %$, while the low energy neutrino data is more sensitive to other mass-squared regions. The lowest bounds on %$ \Delta {m}_{01}^2 %$ from the pp data can reach $ 10^{−12} $ $ eV^{2} $ because of the coherence effect. Also, due to the presence of non-adiabatic transitions, the bounds in the range of $ 10^{−9} $ $ eV^{2} $ ≲ %$ \Delta {m}_{01}^2 %$ ≲ $ 10^{−5} $ $ eV^{2} $ become weaker as %$ \Delta {m}_{01}^2 %$ or $ sin^{2} $ 2θ01 decreases. We also find that in the case with only θ02 or θ03 being nonzero, the low energy solar neutrino data set similar but weaker bounds as compared to the case with only θ01 being nonzero. However, the bounds from the high energy solar data and the KamLAND data are largely affected by the sterile mixing angles. | ||
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10.1007/JHEP09(2022)004 doi (DE-627)SPR048008052 (SPR)JHEP09(2022)004-e DE-627 ger DE-627 rakwb eng Chen, Zikang verfasserin aut Constraining super-light sterile neutrinos at Borexino and KamLAND 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract The presence of a super-light sterile neutrino can lead to a dip in the survival probability of solar neutrinos, and explain the suppression of the upturn in the low energy solar neutrino data. In this work, we systematically study the survival probabilities in the 3+1 framework by taking into account of the non-adiabatic transitions and the coherence effect. We obtain an analytic equation that can predict the position of the dip. We also place constraints on the parameter space of sterile neutrinos by using the latest Borexino and KamLAND data. We find that the low and high energy neutrino data at Borexino are sensitive to different regions in the sterile neutrino parameter space. In the case with only θ01 being nonzero, the 8B data sets the strongest bounds at %$ \Delta {m}_{01}^2 %$≈ (1.1 ∼ 2.2)%$ \Delta {m}_{21}^2 %$, while the low energy neutrino data is more sensitive to other mass-squared regions. The lowest bounds on %$ \Delta {m}_{01}^2 %$ from the pp data can reach $ 10^{−12} $ $ eV^{2} $ because of the coherence effect. Also, due to the presence of non-adiabatic transitions, the bounds in the range of $ 10^{−9} $ $ eV^{2} $ ≲ %$ \Delta {m}_{01}^2 %$ ≲ $ 10^{−5} $ $ eV^{2} $ become weaker as %$ \Delta {m}_{01}^2 %$ or $ sin^{2} $ 2θ01 decreases. We also find that in the case with only θ02 or θ03 being nonzero, the low energy solar neutrino data set similar but weaker bounds as compared to the case with only θ01 being nonzero. However, the bounds from the high energy solar data and the KamLAND data are largely affected by the sterile mixing angles. Neutrino Mixing (dpeaa)DE-He213 Sterile or Heavy Neutrinos (dpeaa)DE-He213 Liao, Jiajun (orcid)0000-0002-3168-4068 aut Ling, Jiajie aut Yue, Baobiao aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2022(2022), 9 vom: 01. Sept. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2022 year:2022 number:9 day:01 month:09 https://dx.doi.org/10.1007/JHEP09(2022)004 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2022 2022 9 01 09 |
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10.1007/JHEP09(2022)004 doi (DE-627)SPR048008052 (SPR)JHEP09(2022)004-e DE-627 ger DE-627 rakwb eng Chen, Zikang verfasserin aut Constraining super-light sterile neutrinos at Borexino and KamLAND 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract The presence of a super-light sterile neutrino can lead to a dip in the survival probability of solar neutrinos, and explain the suppression of the upturn in the low energy solar neutrino data. In this work, we systematically study the survival probabilities in the 3+1 framework by taking into account of the non-adiabatic transitions and the coherence effect. We obtain an analytic equation that can predict the position of the dip. We also place constraints on the parameter space of sterile neutrinos by using the latest Borexino and KamLAND data. We find that the low and high energy neutrino data at Borexino are sensitive to different regions in the sterile neutrino parameter space. In the case with only θ01 being nonzero, the 8B data sets the strongest bounds at %$ \Delta {m}_{01}^2 %$≈ (1.1 ∼ 2.2)%$ \Delta {m}_{21}^2 %$, while the low energy neutrino data is more sensitive to other mass-squared regions. The lowest bounds on %$ \Delta {m}_{01}^2 %$ from the pp data can reach $ 10^{−12} $ $ eV^{2} $ because of the coherence effect. Also, due to the presence of non-adiabatic transitions, the bounds in the range of $ 10^{−9} $ $ eV^{2} $ ≲ %$ \Delta {m}_{01}^2 %$ ≲ $ 10^{−5} $ $ eV^{2} $ become weaker as %$ \Delta {m}_{01}^2 %$ or $ sin^{2} $ 2θ01 decreases. We also find that in the case with only θ02 or θ03 being nonzero, the low energy solar neutrino data set similar but weaker bounds as compared to the case with only θ01 being nonzero. However, the bounds from the high energy solar data and the KamLAND data are largely affected by the sterile mixing angles. Neutrino Mixing (dpeaa)DE-He213 Sterile or Heavy Neutrinos (dpeaa)DE-He213 Liao, Jiajun (orcid)0000-0002-3168-4068 aut Ling, Jiajie aut Yue, Baobiao aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2022(2022), 9 vom: 01. Sept. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2022 year:2022 number:9 day:01 month:09 https://dx.doi.org/10.1007/JHEP09(2022)004 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2022 2022 9 01 09 |
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10.1007/JHEP09(2022)004 doi (DE-627)SPR048008052 (SPR)JHEP09(2022)004-e DE-627 ger DE-627 rakwb eng Chen, Zikang verfasserin aut Constraining super-light sterile neutrinos at Borexino and KamLAND 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract The presence of a super-light sterile neutrino can lead to a dip in the survival probability of solar neutrinos, and explain the suppression of the upturn in the low energy solar neutrino data. In this work, we systematically study the survival probabilities in the 3+1 framework by taking into account of the non-adiabatic transitions and the coherence effect. We obtain an analytic equation that can predict the position of the dip. We also place constraints on the parameter space of sterile neutrinos by using the latest Borexino and KamLAND data. We find that the low and high energy neutrino data at Borexino are sensitive to different regions in the sterile neutrino parameter space. In the case with only θ01 being nonzero, the 8B data sets the strongest bounds at %$ \Delta {m}_{01}^2 %$≈ (1.1 ∼ 2.2)%$ \Delta {m}_{21}^2 %$, while the low energy neutrino data is more sensitive to other mass-squared regions. The lowest bounds on %$ \Delta {m}_{01}^2 %$ from the pp data can reach $ 10^{−12} $ $ eV^{2} $ because of the coherence effect. Also, due to the presence of non-adiabatic transitions, the bounds in the range of $ 10^{−9} $ $ eV^{2} $ ≲ %$ \Delta {m}_{01}^2 %$ ≲ $ 10^{−5} $ $ eV^{2} $ become weaker as %$ \Delta {m}_{01}^2 %$ or $ sin^{2} $ 2θ01 decreases. We also find that in the case with only θ02 or θ03 being nonzero, the low energy solar neutrino data set similar but weaker bounds as compared to the case with only θ01 being nonzero. However, the bounds from the high energy solar data and the KamLAND data are largely affected by the sterile mixing angles. Neutrino Mixing (dpeaa)DE-He213 Sterile or Heavy Neutrinos (dpeaa)DE-He213 Liao, Jiajun (orcid)0000-0002-3168-4068 aut Ling, Jiajie aut Yue, Baobiao aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2022(2022), 9 vom: 01. Sept. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2022 year:2022 number:9 day:01 month:09 https://dx.doi.org/10.1007/JHEP09(2022)004 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2022 2022 9 01 09 |
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10.1007/JHEP09(2022)004 doi (DE-627)SPR048008052 (SPR)JHEP09(2022)004-e DE-627 ger DE-627 rakwb eng Chen, Zikang verfasserin aut Constraining super-light sterile neutrinos at Borexino and KamLAND 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract The presence of a super-light sterile neutrino can lead to a dip in the survival probability of solar neutrinos, and explain the suppression of the upturn in the low energy solar neutrino data. In this work, we systematically study the survival probabilities in the 3+1 framework by taking into account of the non-adiabatic transitions and the coherence effect. We obtain an analytic equation that can predict the position of the dip. We also place constraints on the parameter space of sterile neutrinos by using the latest Borexino and KamLAND data. We find that the low and high energy neutrino data at Borexino are sensitive to different regions in the sterile neutrino parameter space. In the case with only θ01 being nonzero, the 8B data sets the strongest bounds at %$ \Delta {m}_{01}^2 %$≈ (1.1 ∼ 2.2)%$ \Delta {m}_{21}^2 %$, while the low energy neutrino data is more sensitive to other mass-squared regions. The lowest bounds on %$ \Delta {m}_{01}^2 %$ from the pp data can reach $ 10^{−12} $ $ eV^{2} $ because of the coherence effect. Also, due to the presence of non-adiabatic transitions, the bounds in the range of $ 10^{−9} $ $ eV^{2} $ ≲ %$ \Delta {m}_{01}^2 %$ ≲ $ 10^{−5} $ $ eV^{2} $ become weaker as %$ \Delta {m}_{01}^2 %$ or $ sin^{2} $ 2θ01 decreases. We also find that in the case with only θ02 or θ03 being nonzero, the low energy solar neutrino data set similar but weaker bounds as compared to the case with only θ01 being nonzero. However, the bounds from the high energy solar data and the KamLAND data are largely affected by the sterile mixing angles. Neutrino Mixing (dpeaa)DE-He213 Sterile or Heavy Neutrinos (dpeaa)DE-He213 Liao, Jiajun (orcid)0000-0002-3168-4068 aut Ling, Jiajie aut Yue, Baobiao aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2022(2022), 9 vom: 01. Sept. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2022 year:2022 number:9 day:01 month:09 https://dx.doi.org/10.1007/JHEP09(2022)004 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2022 2022 9 01 09 |
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10.1007/JHEP09(2022)004 doi (DE-627)SPR048008052 (SPR)JHEP09(2022)004-e DE-627 ger DE-627 rakwb eng Chen, Zikang verfasserin aut Constraining super-light sterile neutrinos at Borexino and KamLAND 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract The presence of a super-light sterile neutrino can lead to a dip in the survival probability of solar neutrinos, and explain the suppression of the upturn in the low energy solar neutrino data. In this work, we systematically study the survival probabilities in the 3+1 framework by taking into account of the non-adiabatic transitions and the coherence effect. We obtain an analytic equation that can predict the position of the dip. We also place constraints on the parameter space of sterile neutrinos by using the latest Borexino and KamLAND data. We find that the low and high energy neutrino data at Borexino are sensitive to different regions in the sterile neutrino parameter space. In the case with only θ01 being nonzero, the 8B data sets the strongest bounds at %$ \Delta {m}_{01}^2 %$≈ (1.1 ∼ 2.2)%$ \Delta {m}_{21}^2 %$, while the low energy neutrino data is more sensitive to other mass-squared regions. The lowest bounds on %$ \Delta {m}_{01}^2 %$ from the pp data can reach $ 10^{−12} $ $ eV^{2} $ because of the coherence effect. Also, due to the presence of non-adiabatic transitions, the bounds in the range of $ 10^{−9} $ $ eV^{2} $ ≲ %$ \Delta {m}_{01}^2 %$ ≲ $ 10^{−5} $ $ eV^{2} $ become weaker as %$ \Delta {m}_{01}^2 %$ or $ sin^{2} $ 2θ01 decreases. We also find that in the case with only θ02 or θ03 being nonzero, the low energy solar neutrino data set similar but weaker bounds as compared to the case with only θ01 being nonzero. However, the bounds from the high energy solar data and the KamLAND data are largely affected by the sterile mixing angles. Neutrino Mixing (dpeaa)DE-He213 Sterile or Heavy Neutrinos (dpeaa)DE-He213 Liao, Jiajun (orcid)0000-0002-3168-4068 aut Ling, Jiajie aut Yue, Baobiao aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2022(2022), 9 vom: 01. Sept. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2022 year:2022 number:9 day:01 month:09 https://dx.doi.org/10.1007/JHEP09(2022)004 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2022 2022 9 01 09 |
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Constraining super-light sterile neutrinos at Borexino and KamLAND Neutrino Mixing (dpeaa)DE-He213 Sterile or Heavy Neutrinos (dpeaa)DE-He213 |
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constraining super-light sterile neutrinos at borexino and kamland |
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Constraining super-light sterile neutrinos at Borexino and KamLAND |
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Abstract The presence of a super-light sterile neutrino can lead to a dip in the survival probability of solar neutrinos, and explain the suppression of the upturn in the low energy solar neutrino data. In this work, we systematically study the survival probabilities in the 3+1 framework by taking into account of the non-adiabatic transitions and the coherence effect. We obtain an analytic equation that can predict the position of the dip. We also place constraints on the parameter space of sterile neutrinos by using the latest Borexino and KamLAND data. We find that the low and high energy neutrino data at Borexino are sensitive to different regions in the sterile neutrino parameter space. In the case with only θ01 being nonzero, the 8B data sets the strongest bounds at %$ \Delta {m}_{01}^2 %$≈ (1.1 ∼ 2.2)%$ \Delta {m}_{21}^2 %$, while the low energy neutrino data is more sensitive to other mass-squared regions. The lowest bounds on %$ \Delta {m}_{01}^2 %$ from the pp data can reach $ 10^{−12} $ $ eV^{2} $ because of the coherence effect. Also, due to the presence of non-adiabatic transitions, the bounds in the range of $ 10^{−9} $ $ eV^{2} $ ≲ %$ \Delta {m}_{01}^2 %$ ≲ $ 10^{−5} $ $ eV^{2} $ become weaker as %$ \Delta {m}_{01}^2 %$ or $ sin^{2} $ 2θ01 decreases. We also find that in the case with only θ02 or θ03 being nonzero, the low energy solar neutrino data set similar but weaker bounds as compared to the case with only θ01 being nonzero. However, the bounds from the high energy solar data and the KamLAND data are largely affected by the sterile mixing angles. © The Author(s) 2022 |
abstractGer |
Abstract The presence of a super-light sterile neutrino can lead to a dip in the survival probability of solar neutrinos, and explain the suppression of the upturn in the low energy solar neutrino data. In this work, we systematically study the survival probabilities in the 3+1 framework by taking into account of the non-adiabatic transitions and the coherence effect. We obtain an analytic equation that can predict the position of the dip. We also place constraints on the parameter space of sterile neutrinos by using the latest Borexino and KamLAND data. We find that the low and high energy neutrino data at Borexino are sensitive to different regions in the sterile neutrino parameter space. In the case with only θ01 being nonzero, the 8B data sets the strongest bounds at %$ \Delta {m}_{01}^2 %$≈ (1.1 ∼ 2.2)%$ \Delta {m}_{21}^2 %$, while the low energy neutrino data is more sensitive to other mass-squared regions. The lowest bounds on %$ \Delta {m}_{01}^2 %$ from the pp data can reach $ 10^{−12} $ $ eV^{2} $ because of the coherence effect. Also, due to the presence of non-adiabatic transitions, the bounds in the range of $ 10^{−9} $ $ eV^{2} $ ≲ %$ \Delta {m}_{01}^2 %$ ≲ $ 10^{−5} $ $ eV^{2} $ become weaker as %$ \Delta {m}_{01}^2 %$ or $ sin^{2} $ 2θ01 decreases. We also find that in the case with only θ02 or θ03 being nonzero, the low energy solar neutrino data set similar but weaker bounds as compared to the case with only θ01 being nonzero. However, the bounds from the high energy solar data and the KamLAND data are largely affected by the sterile mixing angles. © The Author(s) 2022 |
abstract_unstemmed |
Abstract The presence of a super-light sterile neutrino can lead to a dip in the survival probability of solar neutrinos, and explain the suppression of the upturn in the low energy solar neutrino data. In this work, we systematically study the survival probabilities in the 3+1 framework by taking into account of the non-adiabatic transitions and the coherence effect. We obtain an analytic equation that can predict the position of the dip. We also place constraints on the parameter space of sterile neutrinos by using the latest Borexino and KamLAND data. We find that the low and high energy neutrino data at Borexino are sensitive to different regions in the sterile neutrino parameter space. In the case with only θ01 being nonzero, the 8B data sets the strongest bounds at %$ \Delta {m}_{01}^2 %$≈ (1.1 ∼ 2.2)%$ \Delta {m}_{21}^2 %$, while the low energy neutrino data is more sensitive to other mass-squared regions. The lowest bounds on %$ \Delta {m}_{01}^2 %$ from the pp data can reach $ 10^{−12} $ $ eV^{2} $ because of the coherence effect. Also, due to the presence of non-adiabatic transitions, the bounds in the range of $ 10^{−9} $ $ eV^{2} $ ≲ %$ \Delta {m}_{01}^2 %$ ≲ $ 10^{−5} $ $ eV^{2} $ become weaker as %$ \Delta {m}_{01}^2 %$ or $ sin^{2} $ 2θ01 decreases. We also find that in the case with only θ02 or θ03 being nonzero, the low energy solar neutrino data set similar but weaker bounds as compared to the case with only θ01 being nonzero. However, the bounds from the high energy solar data and the KamLAND data are largely affected by the sterile mixing angles. © The Author(s) 2022 |
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