Neutrino oscillation in the q -metric
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Regular Article - Theoretical Physics
Neutrino oscillation in the q-metric Kuantay Boshkayev1,2,3,a , Orlando Luongo1,5,b , Marco Muccino1,4,c 1
National Nanotechnology Laboratory of Open Type, Department of Theoretical and Nuclear Physics, Al-Farabi Kazakh National University, 050040 Almaty, Kazakhstan 2 Department of Physics, Nazarbayev University, 010000 Nur-Sultan, Kazakhstan 3 Fesenkov Astrophysical Institute, 050020 Almaty, Kazakhstan 4 Istituto Nazionale di Fisica Nucleare (INFN), Laboratori Nazionali di Frascati, 00044 Frascati, Italy 5 Scuola di Scienze e Tecnologie, Università di Camerino, 62032 Camerino, Italy
Received: 22 May 2020 / Accepted: 10 October 2020 © The Author(s) 2020
Abstract We investigate neutrino oscillation in the field of an axially symmetric space-time, employing the so-called q-metric, in the context of general relativity. Following the standard approach, we compute the phase shift invoking the weak and strong field limits and small deformation. To do so, we consider neutron stars, white dwarfs and supernovae as strong gravitational regimes whereas the solar system as weak field regime. We argue that the inclusion of the quadrupole parameter leads to the modification of the well-known results coming from the spherical solution due to the Schwarschild space-time. Hence, we show that in the solar system regime, considering the Earth and Sun, there is a weak probability to detect deviations from the flat case, differently from the case of neutron stars and white dwarfs in which this probability is larger. Thus, we heuristically discuss some implications on constraining the free parameters of the phase shift by means of astrophysical neutrinos. A few consequences in cosmology and possible applications for future space experiments are also discussed throughout the text.
1 Introduction Ever since their discovery [1,2], neutrinos have been under scrutiny for their exotic and enigmatic properties. In the standard model of particle physics, neutrinos are massless and left-handed particles, albeit recent observations definitively showed that these particles have a non-vanishing mass [3–5]. On the one hand, the absolute scale of neutrino’s mass spectra is yet unknown, although on the other hand the mina e-mails:
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imum scale1 is given by the larger mass splitting, set around ∼ 50 meV [6]. Both flavor mixing and neutrino oscillation are therefore theoretical challenges for quantum field theory since Pontecorvo’s original treatment in which the phenomenon of oscillation was firstly described2 [9]. Immediately after having introduced the concept of neutrino oscillation, Mikheyev, Smirnov and Wolfenstein investigated transformations of one neutrino flavor into another in media with non-constant density [10,11]. To understand the origin of neutrino masses, possible extensions of the standard model of particle physics have been ext
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