General neutrino mass spectrum and mixing properties in seesaw mechanisms *

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F21%3A50018610" target="_blank" >RIV/62690094:18470/21:50018610 - isvavai.cz</a>

Result on the web

<a href="https://iopscience.iop.org/article/10.1088/1674-1137/abcd2f" target="_blank" >https://iopscience.iop.org/article/10.1088/1674-1137/abcd2f</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1674-1137/abcd2f" target="_blank" >10.1088/1674-1137/abcd2f</a>

Result language

angličtina

Original language name

General neutrino mass spectrum and mixing properties in seesaw mechanisms *

Original language description

Neutrinos stand out among the elementary particles because of their unusually small masses. Various seesaw mechanisms attempt to explain this fact. In this work, applying insights from matrix theory, we are in a position to treat variants of seesaw mechanisms in a general manner. Specifically, using Weyl&apos;s inequalities, we discuss and rigorously prove under which conditions the seesaw framework leads to a mass spectrum with exactly three light neutrinos. We find an estimate of the mass of heavy neutrinos to be the mass obtained by neglecting light neutrinos, shifted at most by the maximal strength of the coupling to the light neutrino sector. We provide analytical conditions allowing one to prescribe that precisely two out of five neutrinos are heavy. For higher-dimensional cases the inverse eigenvalue methods are used. In particular, for the CP-invariant scenarios we show that if the neutrino sector has a valid mass matrix after neglecting the light ones, i.e. if the respective mass submatrix is positive definite, then large masses are provided by matrices with large elements accumulated on the diagonal. Finally, the Davis-Kahan theorem is used to show how masses affect the rotation of light neutrino eigenvectors from the standard Euclidean basis. This general observation concerning neutrino mixing, together with results on the mass spectrum properties, opens directions for further neutrino physics studies using matrix analysis.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10303 - Particles and field physics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2021

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Chinese Physics C

ISSN

1674-1137

e-ISSN

—

Volume of the periodical

45

Issue of the periodical within the volume

2

Country of publishing house

GB - UNITED KINGDOM

Number of pages

13

Pages from-to

"Article Number: 023106"

UT code for WoS article

000610060000001

EID of the result in the Scopus database

2-s2.0-85101032934