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In arXiv:hep-ph/0307149v2, it is mentioned that atmospheric mass-squared difference is not uniquely defined and that the convention that is going to be used is that it is the largest possible mass-squared difference.

I know that the smallest mass difference is identified with solar neutrino oscillations.

So there m1 and then there is m2 which is heavier..

Then we have m3....If we place it above m2, we get normal hierarchy..and if we place it below m1, we get inverted hierarchy...

In either case, we might not be currently able to say whether it is m3- m1 mass difference or m2-m1 mass difference which is identified in atmospheric oscillations....

But with better data, wont we able to make a unique identification? Or is it again somehow a convention dependent thing....like identifying m2 to be bigger than m1....

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# Mass difference corresponding to atmospheric oscillations

Can you offer guidance or do you also need help?

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