Thank you for your reply. For the angles I used the Wikipedia values. By phase I assume you mean the ##\delta_{CP}## parameter, right? If I understand it correctly, the formula for ##m_{\beta\beta}## contains only the first line of the PMNS matrix i.e. ##U_{e1}##, ##U_{e2}## and ##U_{e3}##. The phase appears only in ##U_{e3}##, but upon squaring that would cancel, wouldn't it? Is there another place where the phase appears?mfb said:
Oh, I assumed that by squaring they meant ##aa^*##, now it makes more sense. So that phase leads to some sort of cancellation? It is still not clear to me why it is just in that mass range, and why it is not there at all in the inverted hierarchy case.mfb said:
A Majorana mass plot is a graphical representation of the masses of neutrinos in a specific particle physics model. It shows the relationship between the masses of the three known types of neutrinos and can provide insight into the nature of these particles.
The normal hierarchy in a Majorana mass plot refers to the pattern in which the masses of neutrinos increase in value from the lightest to the heaviest. In this hierarchy, the first and second neutrino masses are relatively close in value, while the third neutrino mass is significantly larger.
The inverted hierarchy in a Majorana mass plot is the opposite of the normal hierarchy. In this pattern, the first and second neutrino masses are further apart, while the third neutrino mass is closer in value to the second mass. This hierarchy is still being studied and is not yet fully understood.
Scientists use a variety of experimental techniques and data analysis methods to determine the hierarchy in a Majorana mass plot. These include studying the decay of radioactive elements, observing neutrino interactions in particle accelerators, and analyzing data from neutrino detectors.
The hierarchy in a Majorana mass plot is significant because it can provide clues about the fundamental properties of neutrinos, such as their mass and whether they are their own antiparticles. It can also help scientists better understand the underlying structure of the universe and the laws of physics that govern it.
