scholarly journals Direct and semi-direct approaches to lepton mixing with a massless neutrino

2016 ◽  
Vol 2016 (6) ◽  
Author(s):  
Stephen F. King ◽  
Patrick Otto Ludl
Keyword(s):  

2013 ◽  
Vol 727 (4-5) ◽  
pp. 480-487 ◽  
Author(s):  
Anjan S. Joshipura ◽  
Ketan M. Patel
Keyword(s):  






2000 ◽  
Vol 15 (26) ◽  
pp. 4099-4106
Author(s):  
M. ALIMOHAMMADI ◽  
A. SHARIATI

In the context of the Einstein–Cartan–Dirac model, where the torsion of the space–time couples to the axial currents of the fermions, we study the effects of this quantum-gravitational interaction on a massless neutrino beam crossing through a medium with a high number density of fermions at rest. We calculate the reflection amplitude and show that a specific fraction of the incident neutrinos reflects from this potential if the polarization of the medium is different from zero. We also discuss the order of magnitude of the fermionic number density in which this phenomenon is observable, in other theoretical contexts, for example, the strong gravity regime and the effective field theory approach.



2017 ◽  
Vol 32 (06n07) ◽  
pp. 1750040 ◽  
Author(s):  
Cui-Bai Luo ◽  
Song Shi ◽  
Yi-Lun Du ◽  
Yong-Long Wang ◽  
Hong-Shi Zong

Depending on deformed canonical anticommutation relations, massless neutrino oscillation based on Lorentz invariance violation in noncommutative field theory is discussed. It is found that the previous studies about massless neutrino oscillation within deformed canonical anticommutation relations should satisfy the condition of new Moyal product and new nonstandard commutation relations. Furthermore, comparing the Lorentz invariant violation parameters A in the previous studies with new Moyal product and new nonstandard commutation relations, we find that the orders of magnitude of noncommutative parameters (Lorentz invariant violation parameters A) is not self-consistent. This inconsistency means that the previous studies of Lorentz invariance violation in noncommutative field theory may not naturally explain massless neutrino oscillation. In other words, it should be impossible to explain neutrino oscillation by Lorentz invariance violation in noncommutative field theory. This conclusion is supported by the latest atmospheric neutrinos experimental results from the super-Kamiokande Collaboration, which show that no evidence of Lorentz invariance violation on atmospheric neutrinos was observed.





2019 ◽  
Vol 99 (1) ◽  
Author(s):  
Nicolás Bernal ◽  
Diego Restrepo ◽  
Carlos E. Yaguna ◽  
Óscar Zapata


2009 ◽  
Vol 24 (31) ◽  
pp. 5861-5876 ◽  
Author(s):  
SHIMIN YANG ◽  
BO-QIANG MA

We analyze the consequences of Lorentz violation (LV) to three-generation neutrino oscillation in the massless neutrino sector. We present a general formalism of three-family neutrino oscillation with neutrino flavor states being mixing states of energy eigenstates. It is also found that the mixing parts could strongly depend on neutrino energy by special choices of LV parameters. By confronting with the existing experimental data on neutrino oscillation, the upper bounds on LV parameters are derived. Because the oscillation amplitude could vary with the neutrino energy, neutrino experiments with energy dependence may test and constrain the LV scenario for neutrino oscillation.



2001 ◽  
Vol 64 (8) ◽  
Author(s):  
F. Benatti ◽  
R. Floreanini


Author(s):  
L. G. Cabral-Rosetti ◽  
M. Mondragón ◽  
E. Reyes Pérez


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