The impact of different parameterizations on the interpretation of CP violation in neutrino oscillations
Abstract CP violation in the lepton mass matrix will be probed with good precision in upcoming experiments. The amount of CP violation present in oscillations can be quantified in numerous ways and is typically parameterized by the complex phase δ PDG in the standard PDG definition of the lepton mix...
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Online Access: | https://doi.org/10.1007/JHEP05(2021)139 |
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doaj-d164785143e24eddbc590c5b97d03c612021-05-23T11:07:17ZengSpringerOpenJournal of High Energy Physics1029-84792021-05-012021512510.1007/JHEP05(2021)139The impact of different parameterizations on the interpretation of CP violation in neutrino oscillationsPeter B. Denton0Rebekah Pestes1High Energy Theory Group, Physics Department, Brookhaven National LaboratoryHigh Energy Theory Group, Physics Department, Brookhaven National LaboratoryAbstract CP violation in the lepton mass matrix will be probed with good precision in upcoming experiments. The amount of CP violation present in oscillations can be quantified in numerous ways and is typically parameterized by the complex phase δ PDG in the standard PDG definition of the lepton mixing matrix. There are additional parameterizations of the lepton mixing matrix as well. Through various examples, we explore how, given the current data, different parameterizations can lead to different conclusions when working with parameterization dependent variables, such as δ. We demonstrate how the smallness of |U e3| governs the scale of these results. We then demonstrate how δ can be misleading and argue that the Jarlskog is the cleanest means of presenting the amount of CP violation in the lepton sector. We also confirm that, among the different parameterizations considered, the standard PDG parameterization has a number of convenient features.https://doi.org/10.1007/JHEP05(2021)139CP violationNeutrino Physics |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Peter B. Denton Rebekah Pestes |
spellingShingle |
Peter B. Denton Rebekah Pestes The impact of different parameterizations on the interpretation of CP violation in neutrino oscillations Journal of High Energy Physics CP violation Neutrino Physics |
author_facet |
Peter B. Denton Rebekah Pestes |
author_sort |
Peter B. Denton |
title |
The impact of different parameterizations on the interpretation of CP violation in neutrino oscillations |
title_short |
The impact of different parameterizations on the interpretation of CP violation in neutrino oscillations |
title_full |
The impact of different parameterizations on the interpretation of CP violation in neutrino oscillations |
title_fullStr |
The impact of different parameterizations on the interpretation of CP violation in neutrino oscillations |
title_full_unstemmed |
The impact of different parameterizations on the interpretation of CP violation in neutrino oscillations |
title_sort |
impact of different parameterizations on the interpretation of cp violation in neutrino oscillations |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2021-05-01 |
description |
Abstract CP violation in the lepton mass matrix will be probed with good precision in upcoming experiments. The amount of CP violation present in oscillations can be quantified in numerous ways and is typically parameterized by the complex phase δ PDG in the standard PDG definition of the lepton mixing matrix. There are additional parameterizations of the lepton mixing matrix as well. Through various examples, we explore how, given the current data, different parameterizations can lead to different conclusions when working with parameterization dependent variables, such as δ. We demonstrate how the smallness of |U e3| governs the scale of these results. We then demonstrate how δ can be misleading and argue that the Jarlskog is the cleanest means of presenting the amount of CP violation in the lepton sector. We also confirm that, among the different parameterizations considered, the standard PDG parameterization has a number of convenient features. |
topic |
CP violation Neutrino Physics |
url |
https://doi.org/10.1007/JHEP05(2021)139 |
work_keys_str_mv |
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