Unitarity and the three flavor neutrino mixing matrix

Parke, Stephen; Ross-Lonergan, Mark

doi:10.1103/PhysRevD.93.113009

Title: Unitarity and the three flavor neutrino mixing matrix

Journal Article · Tue Jun 14 00:00:00 EDT 2016 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.93.113009· OSTI ID:1221351

Parke, Stephen ^[1]; Ross-Lonergan, Mark ^[2]

Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Durham Univ., Durham (United Kingdom)

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^-_eand v_μ 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 U_PMNS 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^-_eand v_μ 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 v_μ and v_e 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 v_τ sector which very few current experiments constrain directly.

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

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-07CH11359

OSTI ID:: 1221351

Alternate ID(s):: OSTI ID: 1257011

Report Number(s):: FERMILAB-PUB-15-363-T; PRVDAQ; arXiv eprint number arXiv:1508.05095; TRN: US1601621

Journal Information:: Physical Review D, Vol. 93, Issue 11; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 71 works

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