# NuFact 2022: The 23rd International Workshop on Neutrinos from Accelerators

July 30, 2022 to August 6, 2022
Cliff Lodge
US/Mountain timezone

## Evolution of Lepton Number for Neutrinos

Aug 5, 2022, 12:20 PM
25m
Wasatch A

### Wasatch A

Talk WG5: Beyond PMNS

### Speaker

Nicholas Benoit (Hiroshima University)

### Description

We study the evolution of the lepton number for a $SU(2)$ doublet consisting of a massive neutrino and a charged lepton. By choosing a specific initial lepton family for a neutrino we can compute the evolution of all lepton family numbers. Our framework results in additional oscillation phases that are important for nonrelativisitc neutrinos. We study the phenomenology of relativistic and nonrelativistic neutrino physics under this framework. The nonrelativistic region is of particular interest due to the Cosmic Neutrino Background (C$\nu$B) predicted from big bang models. Furthermore, we include important damping effects on the oscillations for the nonrelativistic region by considering a lepton number density. This is based on the works of arXiv:2101.07751 [hep-ph] and arXiv:2106.02783 [hep-ph].

Attendance type Virtual presentation

### Primary authors

Dr Apriadi Salim Adam (National Research and Innovation Agency (BRIN)) Nicholas Benoit (Hiroshima University) Prof. Takuya Morozumi (Hiroshima University) Dr Yusuke Shimizu (Hiroshima University)

### Co-authors

Dr Yamato Matsuo (Hiroshima University) Dr Yuta Kawamura (Hiroshima University)