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Implications of the DLMA Solution of θ12 for IceCube Data Using Different Astrophysical Sources

Ghosh, Manojit; Goswami, Srubabati; Pan, Supriya; Pavlović, Bartol (2023) Implications of the DLMA Solution of θ12 for IceCube Data Using Different Astrophysical Sources. Universe, 9 (9). ISSN 2218-1997

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Abstract

In this paper, we study the implications of the Dark Large Mixing Angle (DLMA) solutions of theta(12) in the context of the IceCube data. We study the consequences in the measurement of the neutrino oscillation parameters, namely the octant of theta(23) and delta(CP) in light of both Large Mixing Angle (LMA) and DLMA solutions of theta(12). We find that it will be impossible for IceCube to determine the delta(CP )and the true nature of theta 12, i.e., LMA or DLMA, at the same time. This is because of the existence of an intrinsic degeneracy at the Hamiltonian level between these parameters. Apart from that, we also identify a new degeneracy between theta(23) and two solutions of theta(12 )for a fixed value of delta CP. We perform a chi-square fit using three different astrophysical sources, i.e., mu source, pi source, and n source, to find that both mu source and pi source are allowed within 1 sigma, whereas the n source is excluded at 2 sigma. It is difficult to make any conclusion regarding the measurement of theta(23), delta(CP) for mu source. However, the pi (n) source prefers the higher (lower) octant of theta(23 )for both LMA and DLMA solution of theta(12). The best-fit value of delta(CP) is around 180(degrees)(0(degrees)/360(degrees)) for the LMA (DLMA) solution of theta(12), whereas for the DLMA (LMA) solution of theta(12), the best-fit value is around 0(degrees)/360(degrees )(180(degrees)) for the pi (n) source. If we assume the current best-fit values of theta(23) and delta(CP) to be true, then the mu and pi sources prefer the LMA solution of theta(12), whereas the n source prefers the DLMA solution of theta(12).

Item Type: Article
Uncontrolled Keywords: neutrino oscillation; astrophysical neutrinos; IceCube experiment
Subjects: NATURAL SCIENCES > Physics > Physics of Elementary Particles and Fields
Divisions: Division of Experimental Physics
Projects:
Project titleProject leaderProject codeProject type
Potpora vrhunskim istraživanjima Centra izvrsnosti za napredne materijale i senzore-Mile Ivanda; Milko Jakšić; Mario Stipčević; Marko KraljKK.01.1.1.01.0001EK
Depositing User: Manojit Ghosh
Date Deposited: 18 Dec 2025 10:01
URI: http://fulir.irb.hr/id/eprint/10582
DOI: 10.3390/universe9090380

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