# TeVPA 2018

Aug 27 – 31, 2018
LVH, Luisenstraße 58, 10117 Berlin
Europe/Berlin timezone

## Precision constraints on radiative neutrino decay with CMB spectral distortion

Aug 28, 2018, 3:45 PM
1h
LVH, Luisenstraße 58, 10117 Berlin

#### LVH, Luisenstraße 58, 10117 Berlin

<a href="http://www.langenbeck-virchow-haus.de/" target="_blank"><b>LANGENBECK VIRCHOW HAUS</b></a> Luisenstraße 58, 10117 Berlin
Board: N10
Poster (A0 portrait) Neutrinos

### Speakers

Mr Dylan van Arneman (University of Amsterdam)Mr Marnix Reemst (University of Amsterdam)

### Description

We investigate the radiative decay of the cosmic neutrino background, and its impact on the spectrum of the cosmic microwave background (CMB) that is known to be a nearly perfect black body. We derive {\it exact} formulae for the decay of a heavier neutrino into a lighter neutrino and a photon, $\nu_j \to \nu_i + \gamma$, and of absorption as its inverse, $\nu_i + \gamma \to \nu_j$, by accounting for the precise form of the neutrino momentum distribution. Our calculations show that if the neutrinos are heavier than $\mathcal O(0.1)$~eV, the exact formulae give results that differ by $\sim$50\%, compared with approximate ones where neutrinos are assumed to be at rest. We also find that spectral distortion due to absorption is more important for heavy neutrino masses (by a factor of $\sim$10 going from a neutrino mass of 0.01~eV to 0.1~eV). By analyzing the CMB spectral data measured with COBE-FIRAS, we obtain lower limits on the neutrino lifetime of $\tau_{12} > 4 \times 10^{21}$~s (95\% C.L.) for the smaller mass splitting and $\tau_{13} \sim \tau_{23} > 10^{19}$~s for the larger mass splitting. These represent up to one order of magnitude improvement over previous CMB constraints. With future CMB experiments such as PIXIE, these limits will improve by roughly 4 orders of magnitude. This translates to a projected upper limit on the neutrino magnetic moment (for certain neutrino masses and decay modes) of $\mu_\nu < 3 \times 10^{-11}\, \mu_B$, where $\mu_B$ is the Bohr magneton. Such constraints would make future precision CMB measurements competitive with lab-based constraints on neutrino magnetic moments.

### Primary authors

Dr Bradley Kavanagh (GRAPPA, University of Amsterdam) Mr Dylan van Arneman (University of Amsterdam) Mr Marnix Reemst (University of Amsterdam) Shin'ichiro Ando (University of Amsterdam)

### Presentation materials

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