Precise analytical description of the Earth matter effect on oscillations of low energy neutrinos

Ioannisian, Ara; Kazarian, Narine; Smirnov, A. Yu.; Wyler, D.

doi:10.1103/physrevd.71.033006

Cited by 45 publications

(53 citation statements)

References 33 publications

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“…(55) reproduces the formula given in [10]. If |I V | << 1, we find making expansion in powers of I V P ν2→νe = sin 2 θ + I V sin 2θ sin φ + I 2 V cos 2θ (56) which exactly coincides with our result in [3] (see eq. (15)).…”

Section: Oscillation Probabilitiessupporting

confidence: 89%

“…Recently the first order Magnus expansion has been applied to the low energy neutrino oscillations in matter of the Earth [10]. The formula for the regeneration factor in the Earth has been obtained which generalizes our result in [3]. In this paper we develop various perturbation theories using explicitly two orders of the Magnus expansion.…”

Section: Introductionsupporting

confidence: 60%

“…The first approximation works very well at low energies E < 20 MeV [2]. Validity of the results can be extended to higher energies if the second order term, ∼ I 2 , is taken into account [3]. It can be further improved in certain energy ranges if expansion is performed with respect to the deviation of the potential from some average value.…”

Section: Introductionmentioning

confidence: 80%

“…The problem of this and some other similar approaches is that the unitarity of oscillation amplitudes is not guaranteed, and in fact, is violated at high energies [3]. This violation, in turn, can produce certain problems in numerical computations.…”

Section: Introductionmentioning

confidence: 99%

“…In the previous publications [2], [3], we have proposed a formalism which describes the neutrino oscillations in matter with low density. It make use of smallness of the matter potential V in comparison with the kinetic term: V ≪ ∆m 2 /2E, where ∆m 2 is the mass squared difference and E is the energy of neutrino.…”

Section: Introductionmentioning

confidence: 99%

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Describing neutrino oscillations in matter with Magnus expansion

Ioannisian

Smirnov

2009

Nuclear Physics B

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We present new formalism for description of the neutrino oscillations in matter with varying density. The formalism is based on the Magnus expansion and has a virtue that the unitarity of the S-matrix is maintained in each order of perturbation theory. We show that the Magnus expansion provides better convergence of series: the restoration of unitarity leads to smaller deviations from the exact results especially in the regions of large transition probabilities. Various expansions are obtained depending on a basis of neutrino states and a way one splits the Hamiltonian into the self-commuting and non-commuting parts. In particular, we develop the Magnus expansion for the adiabatic perturbation theory which gives the best approximation. We apply the formalism to the neutrino oscillations in matter of the Earth and show that for the solar oscillation parameters the second order Magnus adiabatic expansion has better than 1% accuracy for all energies and trajectories. For the atmospheric ∆m 2 and small 1-3 mixing the approximation works well (< 3% accuracy for sin 2 θ13 = 0.01) outside the resonance region (2.7 -8) GeV.

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Section: Oscillation Probabilitiessupporting

confidence: 89%

Section: Introductionsupporting

confidence: 60%

Section: Introductionmentioning

confidence: 80%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Describing neutrino oscillations in matter with Magnus expansion

Ioannisian

Smirnov

2009

Nuclear Physics B

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Neutrino Tomography — Learning About The Earth’s Interior Using The Propagation Of Neutrinos

Winter¹

Neutrino Geophysics: Proceedings of Neutrino Sciences 2005

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Because the propagation of neutrinos is affected by the presence of Earth matter, it opens new possibilities to probe the Earth's interior. Different approaches range from techniques based upon the interaction of high energy (above TeV) neutrinos with Earth matter, to methods using the MSW effect on the oscillations of low energy (MeV to GeV) neutrinos. In principle, neutrinos from many different sources (sun, atmosphere, supernovae, beams etc.) can be used. In this talk, we summarize and compare different approaches with an emphasis on more recent developments. In addition, we point out other geophysical aspects relevant for neutrino oscillations.

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Locating the core-mantle boundary using oscillations of atmospheric neutrinos

Upadhyay

Kumar

Agarwalla

et al. 2023

J. High Energ. Phys.

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Atmospheric neutrinos provide a unique avenue to explore the internal structure of Earth based on weak interactions, which is complementary to seismic studies and gravitational measurements. In this work, we demonstrate that the atmospheric neutrino oscillations in the presence of Earth matter can serve as an important tool to locate the core-mantle boundary (CMB). An atmospheric neutrino detector like the proposed 50 kt magnetized ICAL at INO can observe the core-passing neutrinos efficiently. These neutrinos would have experienced the MSW resonance and the parametric or neutrino oscillation length resonance. The net effect of these resonances on neutrino flavor conversions depends upon the location of CMB and the density jump at that radius. We quantify the capability of ICAL to measure the location of CMB in the context of multiple three-layered models of Earth. For the model where the density and the radius of core are kept flexible while the mass and radius of Earth as well as the densities of outer and inner mantle are fixed, ICAL can determine the location of CMB with a 1σ precision of about 250 km with an exposure of 1000 kt yr. With the 81-layered PREM profile, this 1σ precision would be about 350 km. The charge identification capability of ICAL plays an important role in achieving this precision.

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Precise analytical description of the Earth matter effect on oscillations of low energy neutrinos

Cited by 45 publications

References 33 publications

Describing neutrino oscillations in matter with Magnus expansion

Describing neutrino oscillations in matter with Magnus expansion

Neutrino Tomography — Learning About The Earth’s Interior Using The Propagation Of Neutrinos

Locating the core-mantle boundary using oscillations of atmospheric neutrinos

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