Matter effects of sterile neutrino in light of renormalization-group equations

A bstract The renormalization-group equation (RGE) approach to neutrino matter effects is further developed in this work. We derive a complete set of differential equations for effective mixing elements, masses and Jarlskog-like invariants in presence of a light sterile neutrino. The evolutions of m...

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Bibliographic Details
Published in:The journal of high energy physics 2022-09, Vol.2022 (9), p.29-22, Article 29
Main Authors: Zeng, Shuge, Xu, Fanrong
Format: Article
Language:English
Subjects:
Approximation
Asymmetry
Classical and Quantum Gravitation
Collaboration
Differential equations
Elementary Particles
Energy
Experiments
Flavors
High energy physics
Invariants
Light
Mathematical analysis
Mixers
Neutrino Mixing
Particle physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Solar neutrinos
Sterile or Heavy Neutrinos
String Theory
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Summary:A bstract The renormalization-group equation (RGE) approach to neutrino matter effects is further developed in this work. We derive a complete set of differential equations for effective mixing elements, masses and Jarlskog-like invariants in presence of a light sterile neutrino. The evolutions of mixing elements as well as Jarlskog-like invariants are obtained by numerically solving these differential equations. We calculate terrestrial matter effects in long-baseline (LBL) experiments, taking NOvA, T2K and DUNE as examples. In both three-flavor and four-flavor frameworks, electron-neutrino survival probabilities as well as the day-night asymmetry of solar neutrino are also evaluated as a further examination of the RGE approach.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2022)029