Sterile-active resonance: A global qualitative picture

Abstract In the νSM extended by adding an eV-scale sterile state, the (3 + 1) model, the sterile-active level crossing entails the MSW resonance, here referred as the sterile-active (SA) resonance. In this paper, we construct an effective theory of SA resonance which involves only the sterile-active...

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Main Authors: Mark Brettell, Ivan Martinez-Soler, Hisakazu Minakata
Format: Article
Language:English
Published: SpringerOpen 2025-04-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP04(2025)011
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author Mark Brettell
Ivan Martinez-Soler
Hisakazu Minakata
author_facet Mark Brettell
Ivan Martinez-Soler
Hisakazu Minakata
author_sort Mark Brettell
collection DOAJ
description Abstract In the νSM extended by adding an eV-scale sterile state, the (3 + 1) model, the sterile-active level crossing entails the MSW resonance, here referred as the sterile-active (SA) resonance. In this paper, we construct an effective theory of SA resonance which involves only the sterile-active mixing angles and ∆ m 41 2 $$ {m}_{41}^2 $$ , thanks to the given environment of high matter potential which freezes the νSM oscillations. We give our first attempt at an analytic treatment of the effective theory to illuminate the global picture of the SA resonance at a glance. We formulate a perturbative framework in which the structure of “texture zeros” of the S matrix in the flavor space and the suppression by the small parameters sin θ j4 (j = 1, 2, 3) allows us to reveal the flavor–event-type hierarchy of the resonance-effect strength in the probabilities. We have shown that the cascade events dominantly comes from the three paths through P(ν e → ν e ), P( ν ¯ e $$ {\overline{\nu}}_e $$ → ν ¯ e $$ {\overline{\nu}}_e $$ ), and P( ν ¯ μ $$ {\overline{\nu}}_{\mu } $$ → ν ¯ τ $$ {\overline{\nu}}_{\tau } $$ ), and a three-component fit is suggested to disentangle the SA resonance generation mechanisms.
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spelling doaj-art-9b9dc1edc46746dea72b91031883e7c42025-08-20T01:49:40ZengSpringerOpenJournal of High Energy Physics1029-84792025-04-012025414810.1007/JHEP04(2025)011Sterile-active resonance: A global qualitative pictureMark Brettell0Ivan Martinez-Soler1Hisakazu Minakata2Institute for Particle Physics Phenomenology, Durham UniversityInstitute for Particle Physics Phenomenology, Durham UniversityCenter for Neutrino Physics, Department of Physics, Virginia TechAbstract In the νSM extended by adding an eV-scale sterile state, the (3 + 1) model, the sterile-active level crossing entails the MSW resonance, here referred as the sterile-active (SA) resonance. In this paper, we construct an effective theory of SA resonance which involves only the sterile-active mixing angles and ∆ m 41 2 $$ {m}_{41}^2 $$ , thanks to the given environment of high matter potential which freezes the νSM oscillations. We give our first attempt at an analytic treatment of the effective theory to illuminate the global picture of the SA resonance at a glance. We formulate a perturbative framework in which the structure of “texture zeros” of the S matrix in the flavor space and the suppression by the small parameters sin θ j4 (j = 1, 2, 3) allows us to reveal the flavor–event-type hierarchy of the resonance-effect strength in the probabilities. We have shown that the cascade events dominantly comes from the three paths through P(ν e → ν e ), P( ν ¯ e $$ {\overline{\nu}}_e $$ → ν ¯ e $$ {\overline{\nu}}_e $$ ), and P( ν ¯ μ $$ {\overline{\nu}}_{\mu } $$ → ν ¯ τ $$ {\overline{\nu}}_{\tau } $$ ), and a three-component fit is suggested to disentangle the SA resonance generation mechanisms.https://doi.org/10.1007/JHEP04(2025)011Sterile or Heavy NeutrinosNeutrino MixingNon-Standard Neutrino Properties
spellingShingle Mark Brettell
Ivan Martinez-Soler
Hisakazu Minakata
Sterile-active resonance: A global qualitative picture
Journal of High Energy Physics
Sterile or Heavy Neutrinos
Neutrino Mixing
Non-Standard Neutrino Properties
title Sterile-active resonance: A global qualitative picture
title_full Sterile-active resonance: A global qualitative picture
title_fullStr Sterile-active resonance: A global qualitative picture
title_full_unstemmed Sterile-active resonance: A global qualitative picture
title_short Sterile-active resonance: A global qualitative picture
title_sort sterile active resonance a global qualitative picture
topic Sterile or Heavy Neutrinos
Neutrino Mixing
Non-Standard Neutrino Properties
url https://doi.org/10.1007/JHEP04(2025)011
work_keys_str_mv AT markbrettell sterileactiveresonanceaglobalqualitativepicture
AT ivanmartinezsoler sterileactiveresonanceaglobalqualitativepicture
AT hisakazuminakata sterileactiveresonanceaglobalqualitativepicture