Renormalization-group equations of neutrino masses and flavor mixing parameters in matter

A bstract We borrow the general idea of renormalization-group equations (RGEs) to understand how neutrino masses and flavor mixing parameters evolve when neutrinos propagate in a medium, highlighting a meaningful possibility that the genuine flavor quantities in vacuum can be extrapolated from their...

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Published inThe journal of high energy physics Vol. 2018; no. 5; pp. 1 - 23
Main Authors Xing, Zhi-zhong, Zhou, Shun, Zhou, Ye-Ling
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2018
Springer Nature B.V
SpringerOpen
Subjects
Classical and Quantum Gravitation
Differential equations
Elementary Particles
Flavor (particle physics)
High energy physics
Mathematical analysis
Neutrino beams
Neutrino Physics
Neutrinos
Parameterization
Parameters
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Renormalization Group
String Theory
Triangles
Neutrino Physics
Renormalization Group
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Summary:A bstract We borrow the general idea of renormalization-group equations (RGEs) to understand how neutrino masses and flavor mixing parameters evolve when neutrinos propagate in a medium, highlighting a meaningful possibility that the genuine flavor quantities in vacuum can be extrapolated from their matter-corrected counterparts to be measured in some realistic neutrino oscillation experiments. Taking the matter parameter a ≡ 2 2 G F N e E to be an arbitrary scale-like variable with N e being the net electron number density and E being the neutrino beam energy, we derive a complete set of differential equations for the effective neutrino mixing matrix V and the effective neutrino masses m ˜ i (for i = 1 , 2 , 3). Given the standard parametrization of V , the RGEs for θ ˜ 12 , θ ˜ 13 , θ ˜ 23 , δ ˜ in matter are formulated for the first time. We demonstrate some useful differential invariants which retain the same form from vacuum to matter, including the well-known Naumov and Toshev relations. The RGEs of the partial μ - τ asymmetries, the off-diagonal asymmetries and the sides of unitarity triangles of V are also obtained as a by-product.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2018)015