Sterile neutrinos: propagation in matter and sensitivity to sterile mass ordering

Abstract We analytically calculate the neutrino conversion probability Pμe in the presence of sterile neutrinos, with exact dependence on %$ \Delta {m}_{41}^2 %$ and with matter effects explicitly included. Using perturbative expansion in small parameters, the terms involving the small mixing angles...
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Autor*in:	Chattopadhyay, Dibya S. [verfasserIn] Devi, Moon Moon Dighe, Amol Dutta, Debajyoti Pramanik, Dipyaman Raut, Sushant K.

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	Neutrino Mixing Sterile or Heavy Neutrinos

Anmerkung:	© The Author(s) 2023

Übergeordnetes Werk:	Enthalten in: Journal of high energy physics - Berlin : Springer, 1997, 2023(2023), 2 vom: 03. Feb.
Übergeordnetes Werk:	volume:2023 ; year:2023 ; number:2 ; day:03 ; month:02

Links:	Volltext

DOI / URN:	10.1007/JHEP02(2023)044

Katalog-ID:	SPR049673459

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520			\|a Abstract We analytically calculate the neutrino conversion probability Pμe in the presence of sterile neutrinos, with exact dependence on %$ \Delta {m}_{41}^2 %$ and with matter effects explicitly included. Using perturbative expansion in small parameters, the terms involving the small mixing angles θ24 and θ34 can be separated out, with θ34 dependence only arising due to matter effects. We express Pμe in terms of the quantities of the form sin(x)/x, which helps in elucidating its dependence on matter effects and a wide range of %$ \Delta {m}_{41}^2 %$ values. Our analytic expressions allow us to predict the effects of the sign of %$ \Delta {m}_{41}^2 %$ at a long baseline experiment like DUNE. We numerically calculate the sensitivity of DUNE to the sterile mass ordering and find that this sensitivity can be significant in the range %$ \mid \Delta {m}_{41}^2\mid \sim \left({10}^{-4}-{10}^{-2}\right) %$ $ eV^{2} $, for either mass ordering of active neutrinos. The dependence of this sensitivity on the value of %$ \Delta {m}_{41}^2 %$ for all mass ordering combinations can be explained by investigating the resonance-like terms appearing due to the interplay between the sterile sector and matter effects.
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allfields	10.1007/JHEP02(2023)044 doi (DE-627)SPR049673459 (SPR)JHEP02(2023)044-e DE-627 ger DE-627 rakwb eng Chattopadhyay, Dibya S. verfasserin (orcid)0000-0003-2323-3950 aut Sterile neutrinos: propagation in matter and sensitivity to sterile mass ordering 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract We analytically calculate the neutrino conversion probability Pμe in the presence of sterile neutrinos, with exact dependence on %$ \Delta {m}_{41}^2 %$ and with matter effects explicitly included. Using perturbative expansion in small parameters, the terms involving the small mixing angles θ24 and θ34 can be separated out, with θ34 dependence only arising due to matter effects. We express Pμe in terms of the quantities of the form sin(x)/x, which helps in elucidating its dependence on matter effects and a wide range of %$ \Delta {m}_{41}^2 %$ values. Our analytic expressions allow us to predict the effects of the sign of %$ \Delta {m}_{41}^2 %$ at a long baseline experiment like DUNE. We numerically calculate the sensitivity of DUNE to the sterile mass ordering and find that this sensitivity can be significant in the range %$ \mid \Delta {m}_{41}^2\mid \sim \left({10}^{-4}-{10}^{-2}\right) %$ $ eV^{2} $, for either mass ordering of active neutrinos. The dependence of this sensitivity on the value of %$ \Delta {m}_{41}^2 %$ for all mass ordering combinations can be explained by investigating the resonance-like terms appearing due to the interplay between the sterile sector and matter effects. Neutrino Mixing (dpeaa)DE-He213 Sterile or Heavy Neutrinos (dpeaa)DE-He213 Devi, Moon Moon (orcid)0000-0001-6569-0792 aut Dighe, Amol (orcid)0000-0001-6639-0951 aut Dutta, Debajyoti (orcid)0000-0002-8348-6098 aut Pramanik, Dipyaman (orcid)0000-0001-6589-3063 aut Raut, Sushant K. (orcid)0000-0002-6401-1257 aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2023(2023), 2 vom: 03. Feb. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2023 year:2023 number:2 day:03 month:02 https://dx.doi.org/10.1007/JHEP02(2023)044 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 2023 2023 2 03 02
spelling	10.1007/JHEP02(2023)044 doi (DE-627)SPR049673459 (SPR)JHEP02(2023)044-e DE-627 ger DE-627 rakwb eng Chattopadhyay, Dibya S. verfasserin (orcid)0000-0003-2323-3950 aut Sterile neutrinos: propagation in matter and sensitivity to sterile mass ordering 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract We analytically calculate the neutrino conversion probability Pμe in the presence of sterile neutrinos, with exact dependence on %$ \Delta {m}_{41}^2 %$ and with matter effects explicitly included. Using perturbative expansion in small parameters, the terms involving the small mixing angles θ24 and θ34 can be separated out, with θ34 dependence only arising due to matter effects. We express Pμe in terms of the quantities of the form sin(x)/x, which helps in elucidating its dependence on matter effects and a wide range of %$ \Delta {m}_{41}^2 %$ values. Our analytic expressions allow us to predict the effects of the sign of %$ \Delta {m}_{41}^2 %$ at a long baseline experiment like DUNE. We numerically calculate the sensitivity of DUNE to the sterile mass ordering and find that this sensitivity can be significant in the range %$ \mid \Delta {m}_{41}^2\mid \sim \left({10}^{-4}-{10}^{-2}\right) %$ $ eV^{2} $, for either mass ordering of active neutrinos. The dependence of this sensitivity on the value of %$ \Delta {m}_{41}^2 %$ for all mass ordering combinations can be explained by investigating the resonance-like terms appearing due to the interplay between the sterile sector and matter effects. Neutrino Mixing (dpeaa)DE-He213 Sterile or Heavy Neutrinos (dpeaa)DE-He213 Devi, Moon Moon (orcid)0000-0001-6569-0792 aut Dighe, Amol (orcid)0000-0001-6639-0951 aut Dutta, Debajyoti (orcid)0000-0002-8348-6098 aut Pramanik, Dipyaman (orcid)0000-0001-6589-3063 aut Raut, Sushant K. (orcid)0000-0002-6401-1257 aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2023(2023), 2 vom: 03. Feb. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2023 year:2023 number:2 day:03 month:02 https://dx.doi.org/10.1007/JHEP02(2023)044 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 2023 2023 2 03 02
allfields_unstemmed	10.1007/JHEP02(2023)044 doi (DE-627)SPR049673459 (SPR)JHEP02(2023)044-e DE-627 ger DE-627 rakwb eng Chattopadhyay, Dibya S. verfasserin (orcid)0000-0003-2323-3950 aut Sterile neutrinos: propagation in matter and sensitivity to sterile mass ordering 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract We analytically calculate the neutrino conversion probability Pμe in the presence of sterile neutrinos, with exact dependence on %$ \Delta {m}_{41}^2 %$ and with matter effects explicitly included. Using perturbative expansion in small parameters, the terms involving the small mixing angles θ24 and θ34 can be separated out, with θ34 dependence only arising due to matter effects. We express Pμe in terms of the quantities of the form sin(x)/x, which helps in elucidating its dependence on matter effects and a wide range of %$ \Delta {m}_{41}^2 %$ values. Our analytic expressions allow us to predict the effects of the sign of %$ \Delta {m}_{41}^2 %$ at a long baseline experiment like DUNE. We numerically calculate the sensitivity of DUNE to the sterile mass ordering and find that this sensitivity can be significant in the range %$ \mid \Delta {m}_{41}^2\mid \sim \left({10}^{-4}-{10}^{-2}\right) %$ $ eV^{2} $, for either mass ordering of active neutrinos. The dependence of this sensitivity on the value of %$ \Delta {m}_{41}^2 %$ for all mass ordering combinations can be explained by investigating the resonance-like terms appearing due to the interplay between the sterile sector and matter effects. Neutrino Mixing (dpeaa)DE-He213 Sterile or Heavy Neutrinos (dpeaa)DE-He213 Devi, Moon Moon (orcid)0000-0001-6569-0792 aut Dighe, Amol (orcid)0000-0001-6639-0951 aut Dutta, Debajyoti (orcid)0000-0002-8348-6098 aut Pramanik, Dipyaman (orcid)0000-0001-6589-3063 aut Raut, Sushant K. (orcid)0000-0002-6401-1257 aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2023(2023), 2 vom: 03. Feb. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2023 year:2023 number:2 day:03 month:02 https://dx.doi.org/10.1007/JHEP02(2023)044 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 2023 2023 2 03 02
allfieldsGer	10.1007/JHEP02(2023)044 doi (DE-627)SPR049673459 (SPR)JHEP02(2023)044-e DE-627 ger DE-627 rakwb eng Chattopadhyay, Dibya S. verfasserin (orcid)0000-0003-2323-3950 aut Sterile neutrinos: propagation in matter and sensitivity to sterile mass ordering 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract We analytically calculate the neutrino conversion probability Pμe in the presence of sterile neutrinos, with exact dependence on %$ \Delta {m}_{41}^2 %$ and with matter effects explicitly included. Using perturbative expansion in small parameters, the terms involving the small mixing angles θ24 and θ34 can be separated out, with θ34 dependence only arising due to matter effects. We express Pμe in terms of the quantities of the form sin(x)/x, which helps in elucidating its dependence on matter effects and a wide range of %$ \Delta {m}_{41}^2 %$ values. Our analytic expressions allow us to predict the effects of the sign of %$ \Delta {m}_{41}^2 %$ at a long baseline experiment like DUNE. We numerically calculate the sensitivity of DUNE to the sterile mass ordering and find that this sensitivity can be significant in the range %$ \mid \Delta {m}_{41}^2\mid \sim \left({10}^{-4}-{10}^{-2}\right) %$ $ eV^{2} $, for either mass ordering of active neutrinos. The dependence of this sensitivity on the value of %$ \Delta {m}_{41}^2 %$ for all mass ordering combinations can be explained by investigating the resonance-like terms appearing due to the interplay between the sterile sector and matter effects. Neutrino Mixing (dpeaa)DE-He213 Sterile or Heavy Neutrinos (dpeaa)DE-He213 Devi, Moon Moon (orcid)0000-0001-6569-0792 aut Dighe, Amol (orcid)0000-0001-6639-0951 aut Dutta, Debajyoti (orcid)0000-0002-8348-6098 aut Pramanik, Dipyaman (orcid)0000-0001-6589-3063 aut Raut, Sushant K. (orcid)0000-0002-6401-1257 aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2023(2023), 2 vom: 03. Feb. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2023 year:2023 number:2 day:03 month:02 https://dx.doi.org/10.1007/JHEP02(2023)044 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 2023 2023 2 03 02
allfieldsSound	10.1007/JHEP02(2023)044 doi (DE-627)SPR049673459 (SPR)JHEP02(2023)044-e DE-627 ger DE-627 rakwb eng Chattopadhyay, Dibya S. verfasserin (orcid)0000-0003-2323-3950 aut Sterile neutrinos: propagation in matter and sensitivity to sterile mass ordering 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract We analytically calculate the neutrino conversion probability Pμe in the presence of sterile neutrinos, with exact dependence on %$ \Delta {m}_{41}^2 %$ and with matter effects explicitly included. Using perturbative expansion in small parameters, the terms involving the small mixing angles θ24 and θ34 can be separated out, with θ34 dependence only arising due to matter effects. We express Pμe in terms of the quantities of the form sin(x)/x, which helps in elucidating its dependence on matter effects and a wide range of %$ \Delta {m}_{41}^2 %$ values. Our analytic expressions allow us to predict the effects of the sign of %$ \Delta {m}_{41}^2 %$ at a long baseline experiment like DUNE. We numerically calculate the sensitivity of DUNE to the sterile mass ordering and find that this sensitivity can be significant in the range %$ \mid \Delta {m}_{41}^2\mid \sim \left({10}^{-4}-{10}^{-2}\right) %$ $ eV^{2} $, for either mass ordering of active neutrinos. The dependence of this sensitivity on the value of %$ \Delta {m}_{41}^2 %$ for all mass ordering combinations can be explained by investigating the resonance-like terms appearing due to the interplay between the sterile sector and matter effects. Neutrino Mixing (dpeaa)DE-He213 Sterile or Heavy Neutrinos (dpeaa)DE-He213 Devi, Moon Moon (orcid)0000-0001-6569-0792 aut Dighe, Amol (orcid)0000-0001-6639-0951 aut Dutta, Debajyoti (orcid)0000-0002-8348-6098 aut Pramanik, Dipyaman (orcid)0000-0001-6589-3063 aut Raut, Sushant K. (orcid)0000-0002-6401-1257 aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2023(2023), 2 vom: 03. Feb. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2023 year:2023 number:2 day:03 month:02 https://dx.doi.org/10.1007/JHEP02(2023)044 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 2023 2023 2 03 02
language	English
source	Enthalten in Journal of high energy physics 2023(2023), 2 vom: 03. Feb. volume:2023 year:2023 number:2 day:03 month:02
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authorswithroles_txt_mv	Chattopadhyay, Dibya S. @@aut@@ Devi, Moon Moon @@aut@@ Dighe, Amol @@aut@@ Dutta, Debajyoti @@aut@@ Pramanik, Dipyaman @@aut@@ Raut, Sushant K. @@aut@@
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author	Chattopadhyay, Dibya S.
spellingShingle	Chattopadhyay, Dibya S. misc Neutrino Mixing misc Sterile or Heavy Neutrinos Sterile neutrinos: propagation in matter and sensitivity to sterile mass ordering
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topic_title	Sterile neutrinos: propagation in matter and sensitivity to sterile mass ordering Neutrino Mixing (dpeaa)DE-He213 Sterile or Heavy Neutrinos (dpeaa)DE-He213
topic	misc Neutrino Mixing misc Sterile or Heavy Neutrinos
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title	Sterile neutrinos: propagation in matter and sensitivity to sterile mass ordering
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title_full	Sterile neutrinos: propagation in matter and sensitivity to sterile mass ordering
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title_sort	sterile neutrinos: propagation in matter and sensitivity to sterile mass ordering
title_auth	Sterile neutrinos: propagation in matter and sensitivity to sterile mass ordering
abstract	Abstract We analytically calculate the neutrino conversion probability Pμe in the presence of sterile neutrinos, with exact dependence on %$ \Delta {m}_{41}^2 %$ and with matter effects explicitly included. Using perturbative expansion in small parameters, the terms involving the small mixing angles θ24 and θ34 can be separated out, with θ34 dependence only arising due to matter effects. We express Pμe in terms of the quantities of the form sin(x)/x, which helps in elucidating its dependence on matter effects and a wide range of %$ \Delta {m}_{41}^2 %$ values. Our analytic expressions allow us to predict the effects of the sign of %$ \Delta {m}_{41}^2 %$ at a long baseline experiment like DUNE. We numerically calculate the sensitivity of DUNE to the sterile mass ordering and find that this sensitivity can be significant in the range %$ \mid \Delta {m}_{41}^2\mid \sim \left({10}^{-4}-{10}^{-2}\right) %$ $ eV^{2} $, for either mass ordering of active neutrinos. The dependence of this sensitivity on the value of %$ \Delta {m}_{41}^2 %$ for all mass ordering combinations can be explained by investigating the resonance-like terms appearing due to the interplay between the sterile sector and matter effects. © The Author(s) 2023
abstractGer	Abstract We analytically calculate the neutrino conversion probability Pμe in the presence of sterile neutrinos, with exact dependence on %$ \Delta {m}_{41}^2 %$ and with matter effects explicitly included. Using perturbative expansion in small parameters, the terms involving the small mixing angles θ24 and θ34 can be separated out, with θ34 dependence only arising due to matter effects. We express Pμe in terms of the quantities of the form sin(x)/x, which helps in elucidating its dependence on matter effects and a wide range of %$ \Delta {m}_{41}^2 %$ values. Our analytic expressions allow us to predict the effects of the sign of %$ \Delta {m}_{41}^2 %$ at a long baseline experiment like DUNE. We numerically calculate the sensitivity of DUNE to the sterile mass ordering and find that this sensitivity can be significant in the range %$ \mid \Delta {m}_{41}^2\mid \sim \left({10}^{-4}-{10}^{-2}\right) %$ $ eV^{2} $, for either mass ordering of active neutrinos. The dependence of this sensitivity on the value of %$ \Delta {m}_{41}^2 %$ for all mass ordering combinations can be explained by investigating the resonance-like terms appearing due to the interplay between the sterile sector and matter effects. © The Author(s) 2023
abstract_unstemmed	Abstract We analytically calculate the neutrino conversion probability Pμe in the presence of sterile neutrinos, with exact dependence on %$ \Delta {m}_{41}^2 %$ and with matter effects explicitly included. Using perturbative expansion in small parameters, the terms involving the small mixing angles θ24 and θ34 can be separated out, with θ34 dependence only arising due to matter effects. We express Pμe in terms of the quantities of the form sin(x)/x, which helps in elucidating its dependence on matter effects and a wide range of %$ \Delta {m}_{41}^2 %$ values. Our analytic expressions allow us to predict the effects of the sign of %$ \Delta {m}_{41}^2 %$ at a long baseline experiment like DUNE. We numerically calculate the sensitivity of DUNE to the sterile mass ordering and find that this sensitivity can be significant in the range %$ \mid \Delta {m}_{41}^2\mid \sim \left({10}^{-4}-{10}^{-2}\right) %$ $ eV^{2} $, for either mass ordering of active neutrinos. The dependence of this sensitivity on the value of %$ \Delta {m}_{41}^2 %$ for all mass ordering combinations can be explained by investigating the resonance-like terms appearing due to the interplay between the sterile sector and matter effects. © The Author(s) 2023
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title_short	Sterile neutrinos: propagation in matter and sensitivity to sterile mass ordering
url	https://dx.doi.org/10.1007/JHEP02(2023)044
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author2	Devi, Moon Moon Dighe, Amol Dutta, Debajyoti Pramanik, Dipyaman Raut, Sushant K.
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Sterile neutrinos: propagation in matter and sensitivity to sterile mass ordering

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