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Title: Unitarity and the three flavor neutrino mixing matrix

Abstract

Unitarity is a fundamental property of any theory required to ensure we work in a theoretically consistent framework. In comparison with the quark sector, experimental tests of unitarity for the 3x3 neutrino mixing matrix are considerably weaker. It must be remembered that the vast majority of our information on the neutrino mixing angles originates from v-e and vμ disappearance experiments, with the assumption of unitarity being invoked to constrain the remaining elements. New physics can invalidate this assumption for the 3x3 subset and thus modify our precision measurements. We also perform a reanalysis to see how global knowledge is altered when one refits oscillation results without assuming unitarity, and present 3σ ranges for allowed UPMNS elements consistent with all observed phenomena. We calculate the bounds on the closure of the six neutrino unitarity triangles, with the closure of the v-e and vμ triangle being constrained to be ≤0.03, while the remaining triangles are significantly less constrained to be ≤ 0.1 - 0.2. Similarly for the row and column normalization, we find their deviation from unity is constrained to be ≤ 0.2 - 0.4, for four out of six such normalizations, while for the vμ and ve row normalization themore » deviations are constrained to be ≤0.07, all at the 3σCL. Additionally, we emphasize that there is significant room for new low energy physics, especially in the vτ sector which very few current experiments constrain directly.« less

Authors:
 [1];  [2]
  1. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
  2. Durham Univ., Durham (United Kingdom)
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:
1221351
Alternate Identifier(s):
OSTI ID: 1257011
Report Number(s):
FERMILAB-PUB-15-363-T
Journal ID: ISSN 2470-0010; PRVDAQ; arXiv eprint number arXiv:1508.05095; TRN: US1601621
Grant/Contract Number:  
AC02-07CH11359
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 93; Journal Issue: 11; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Parke, Stephen, and Ross-Lonergan, Mark. Unitarity and the three flavor neutrino mixing matrix. United States: N. p., 2016. Web. doi:10.1103/PhysRevD.93.113009.
Parke, Stephen, & Ross-Lonergan, Mark. Unitarity and the three flavor neutrino mixing matrix. United States. doi:10.1103/PhysRevD.93.113009.
Parke, Stephen, and Ross-Lonergan, Mark. Tue . "Unitarity and the three flavor neutrino mixing matrix". United States. doi:10.1103/PhysRevD.93.113009. https://www.osti.gov/servlets/purl/1221351.
@article{osti_1221351,
title = {Unitarity and the three flavor neutrino mixing matrix},
author = {Parke, Stephen and Ross-Lonergan, Mark},
abstractNote = {Unitarity is a fundamental property of any theory required to ensure we work in a theoretically consistent framework. In comparison with the quark sector, experimental tests of unitarity for the 3x3 neutrino mixing matrix are considerably weaker. It must be remembered that the vast majority of our information on the neutrino mixing angles originates from v-e and vμ disappearance experiments, with the assumption of unitarity being invoked to constrain the remaining elements. New physics can invalidate this assumption for the 3x3 subset and thus modify our precision measurements. We also perform a reanalysis to see how global knowledge is altered when one refits oscillation results without assuming unitarity, and present 3σ ranges for allowed UPMNS elements consistent with all observed phenomena. We calculate the bounds on the closure of the six neutrino unitarity triangles, with the closure of the v-e and vμ triangle being constrained to be ≤0.03, while the remaining triangles are significantly less constrained to be ≤ 0.1 - 0.2. Similarly for the row and column normalization, we find their deviation from unity is constrained to be ≤ 0.2 - 0.4, for four out of six such normalizations, while for the vμ and ve row normalization the deviations are constrained to be ≤0.07, all at the 3σCL. Additionally, we emphasize that there is significant room for new low energy physics, especially in the vτ sector which very few current experiments constrain directly.},
doi = {10.1103/PhysRevD.93.113009},
journal = {Physical Review D},
number = 11,
volume = 93,
place = {United States},
year = {2016},
month = {6}
}

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Cited by: 15 works
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    Works referencing / citing this record:

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    Lepton Number Violation: Seesaw Models and Their Collider Tests
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    Measurement Of Atmospheric Tau Neutrino Appearance With Icecube/Deepcore
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