Constraints on Neutrino Mixing
A.B. Balantekin (Physics Department, University of Wisconsin, Madison,, WI, Institute for Nuclear Theory, University of Washington, Seattle, WA),, G.M. Fuller (University of California, San Diego, La Jolla, CA, Institute, for Nuclear Theory, University of Washington, Seattle, WA)
TL;DR
This paper investigates how specific coupling constraints between mu and tau neutrinos affect neutrino mixing models, especially with additional sterile neutrinos, revealing a decoupling of one mass eigenstate and simplifying the flavor space.
Contribution
It introduces a new constraint-based framework for neutrino mixing that reduces the complexity of the model by decoupling a mass eigenstate, applicable to models with sterile neutrinos.
Findings
One mass eigenstate decouples under the imposed constraints.
The flavor space dimension reduces by one due to the decoupling.
The framework applies to models with active and sterile neutrinos.
Abstract
We explore the implications of imposing the constraint that two neutrino flavors (which for definiteness we take to be the mu and tau neutrinos) are similarly coupled to the mass basis in addition to the unitarity constraints. We allow three active and an arbitrary number of sterile neutrinos. We show that in this scheme one of the mass eigenstates decouples from the problem, reducing the dimension of the flavor space by one.
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