# Addendum to “Compact perturbative expressions for neutrino oscillations in matter”

## Abstract

In this Addendum we rewrite the neutrino mixing angles and mass squared differences in matter given in our original paper, in a notation that is more conventiona for the reader. Replacing the usual neutrino mixing angles and mass squared differences in the expressions for the vacuum oscillation probabilities with these matter mixing angles and mass squared differences gives an excellent approximation to the oscillation probabilities in matter. As a result, comparisons for T2K & T2HK, NOvA, T2HKK and DUNE are also given for neutrinos and anti-neutrinos, disappearance and appearance channels, and for both normal and inverted orderings.

- Authors:

- Univ. of Copenhagen, Copenhagen (Denmark)
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

- Publication Date:

- Research Org.:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 1420420

- Report Number(s):
- FERMILAB-PUB-18-014-T; arXiv:1801.06514

Journal ID: ISSN 1029-8479; 1649088

- Grant/Contract Number:
- AC02-07CH11359

- Resource Type:
- Journal Article: Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 6; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CP violation; Beyond Standard Model; Neutrino Physics

### Citation Formats

```
Denton, Peter B., and Parke, Stephen J.
```*Addendum to “Compact perturbative expressions for neutrino oscillations in matter”*. United States: N. p., 2018.
Web. doi:10.1007/JHEP06(2018)109.

```
Denton, Peter B., & Parke, Stephen J.
```*Addendum to “Compact perturbative expressions for neutrino oscillations in matter”*. United States. doi:10.1007/JHEP06(2018)109.

```
Denton, Peter B., and Parke, Stephen J. Thu .
"Addendum to “Compact perturbative expressions for neutrino oscillations in matter”". United States. doi:10.1007/JHEP06(2018)109. https://www.osti.gov/servlets/purl/1420420.
```

```
@article{osti_1420420,
```

title = {Addendum to “Compact perturbative expressions for neutrino oscillations in matter”},

author = {Denton, Peter B. and Parke, Stephen J.},

abstractNote = {In this Addendum we rewrite the neutrino mixing angles and mass squared differences in matter given in our original paper, in a notation that is more conventiona for the reader. Replacing the usual neutrino mixing angles and mass squared differences in the expressions for the vacuum oscillation probabilities with these matter mixing angles and mass squared differences gives an excellent approximation to the oscillation probabilities in matter. As a result, comparisons for T2K & T2HK, NOvA, T2HKK and DUNE are also given for neutrinos and anti-neutrinos, disappearance and appearance channels, and for both normal and inverted orderings.},

doi = {10.1007/JHEP06(2018)109},

journal = {Journal of High Energy Physics (Online)},

number = 6,

volume = 2018,

place = {United States},

year = {Thu Jun 21 00:00:00 EDT 2018},

month = {Thu Jun 21 00:00:00 EDT 2018}

}

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Cited by: 1 work

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