Elsevier B.V. : Probing mass orderings in presence of a very light sterile neutrino in a liquid argon detector

Chatterjee, Animesh; Pan, Supriya; Goswami, Srubabati

doi:10.1016/j.nuclphysb.2023.116370

Article
Report number	arXiv:2307.12885 ; FERMILAB-PUB-23-494-V
Title	Probing mass orderings in presence of a very light sterile neutrino in a liquid argon detector
Author(s)	Chatterjee, Animesh (Ahmedabad, Phys. Res. Lab ; CERN) ; Goswami, Srubabati (Ahmedabad, Phys. Res. Lab) ; Pan, Supriya (Ahmedabad, Phys. Res. Lab ; Indian Inst. Tech., Gandhinagar)
Publication	2023-10-11
Imprint	2023-07-24
Number of pages	14
Note	14 pages, 19 figures
In:	Nucl. Phys. B 996 (2023) 116370
DOI	10.1016/j.nuclphysb.2023.116370 (publication)
Subject category	hep-ph ; Particle Physics - Phenomenology
Accelerator/Facility, Experiment	LAMPF 1173 FNAL E 1039
Abstract	Results from experiments like LSND and MiniBooNE hint towards the possible presence of an extra eV scale sterile neutrino. The addition of such a neutrino will significantly impact the standard three flavour neutrino oscillations. In particular, it can give rise to additional degeneracies due to additional sterile parameters. For an eV scale sterile neutrino, the cosmological constraints dictate that the sterile state is heavier than the three active states. However, for lower masses of sterile neutrinos, it can be lighter than one and/or more of the three states. In such cases, the mass ordering of the sterile neutrinos also becomes unknown along with the mass ordering of the active states. In this paper, we explore the mass ordering sensitivity in the presence of a sterile neutrino assuming the mass squared difference $\|\Delta_{41}\|$ to be in the range $10^{-4} - 1$ eV$^2$. We study (i) how the ordering of the active states, i.e. the determination of the sign of $\Delta_{31}$ gets affected by the presence of a sterile neutrino in the above mass range, (ii) the possible determination of the sign of $\Delta_{41}$ for $\Delta_{41}$ in the range $10^{-4} - 0.1$ eV$^2$. This analysis is done in the context of a liquid argon detector using both beam neutrinos traveling a distance of 1300 km and atmospheric neutrinos which propagates through a distance ranging from 10 - 10000 km allowing resonant matter effects. Apart from presenting separate results from these sources, we also do a combined study and probe the synergy between these two in giving an enhanced sensitivity.
Copyright/License	publication: © 2023-2024 The Author(s) (License: CC BY 4.0), sponsored by SCOAP³ preprint: (License: CC BY 4.0)

$The 3+1 mass spectrum: ordering of mass states in the presence of an extra sterile neutrino state $m_4$ (blue) corresponding to two different sterile mass squared difference: A. $|\Delta_{41}|\sim1$ eV$^2$, B. $|\Delta_{41}|\sim10^{-4}$ eV$^2$ when the standard mass ordering $\Delta_{31}$ lead by $m_3$ (red) can be both +ve and -ve.$ $Probabilities $P_{\mu e}$(left) and $P_{\mu\mu}$ (right) as a function of energy $E_\nu$ due to variation of phases $\delta_{13},\delta_{14}$ for NO and IO at 1300 km baseline for $\Delta_{41}=1$ eV$^2$. Blue and orange bands in top (bottom) panels refer to varied phases for $\theta_{14}=4^\circ$ ($7^\circ$), $\theta_{24}=4^\circ$ ($7^\circ$) corresponding to NO and IO respectively. The regions between cyan(yellow) curves are due to the variation of $\delta_{13}$ in $3\nu$ case for NO(IO).$ $Probabilities $P_{\mu e}$(left) and $P_{\mu\mu}$ (right) as a function of energy $E_\nu$ due to variation of phases $\delta_{13},\delta_{14}$ for NO and IO at 1300 km baseline for $\Delta_{41}=1$ eV$^2$. Blue and orange bands in top (bottom) panels refer to varied phases for $\theta_{14}=4^\circ$ ($7^\circ$), $\theta_{24}=4^\circ$ ($7^\circ$) corresponding to NO and IO respectively. The regions between cyan(yellow) curves are due to the variation of $\delta_{13}$ in $3\nu$ case for NO(IO).$ Show more plots

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