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# Neutrino 2020

June 22, 2020 to July 2, 2020
US/Central timezone

## Singular values as neutrino mixing quantifiers

Not scheduled
10m
Poster

### Speaker

Wojciech Flieger (University of Silesia)

### Description

The neutrino mixing matrix is characterized by singular values and
contractions. The method of unitary dilation is introduced to extend
3-dimensional mixing matrices to a full unitary matrix. The minimal
dimension of such an extension is not arbitrary but depends on
singular values. It means that singular values encode information
scenarios with a different number of additional, non-standard
neutrinos are investigated. For the 3+1 scenario (one additional
neutrino) analytical formula for the light-heavy mixing between
SM-active and a right-handed neutrino as a function of singular values
is derived. New stringent bounds on light-heavy mixings are established.
In particular, in a seesaw mass scheme with one heavy sterile neutrino,
the upper bounds on active-sterile neutrino mixings are even two times
stringent than so far.

### Mini-abstract

Bounds for the active-sterile neutrino mixing are derived based on advanced matrix theory methods.

### Primary author

Wojciech Flieger (University of Silesia)

### Co-authors

Prof. Janusz Gluza (University of Silesia) Kamil Porwit (University of Silesia)