Renormalization group invariants in neutrino sector
Naoyuki Haba, Ryo Takahashi
TL;DR
This paper identifies renormalization group invariants in the neutrino sector by analyzing ratios of Majorana neutrino mass matrix elements, independent of mass ordering and mixing parameterization.
Contribution
It introduces a simple analytical method to find invariants in the neutrino mass matrix that are unaffected by renormalization group evolution.
Findings
Invariants are ratios of Majorana neutrino mass matrix elements.
Invariants are independent of neutrino mass ordering.
Parameters in the renormalization group running are analyzed.
Abstract
We show renormalization group invariants in neutrino sector. These are found from a simple analytical discussion of Majorana mass matrix for light neutrinos. It is shown that the invariants are obtained by taking ratios among elements of the Majorana neutrino mass matrix. The invariance is independent of neutrino mass ordering and a parameterization of mixing matrix for the lepton sector. Parameters in the runnings under renormalization group equations in the neutrino sector are also analyzed.
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