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Title: Unfinished fabric of the three neutrino paradigm

Journal Article · · Physical Review D

In the current 3ν paradigm, neutrino flavor oscillations probe three mixing angles (θ122313) one CP-violating phase δ, and two independent differences between the squared masses $$m^2_i$$, that can be chosen as δm2 = $$m^2_2$$ - $$m^2_1$$ > 0 and $Δm^2$ = $$m^2_3$$ - ($$m^2_1$$ + $$m^2_2$$)/2, where sign ($Δm^2$) = +(-) for normal (inverted) mass ordering. Absolute ν masses can be probed by the effective mass mβ in beta decay, by the total mass Σ in cosmology and—if neutrinos are Majorana—by another effective mass mββ in neutrinoless double beta decay. Within an updated global analysis of oscillation and nonoscillation data, we constrain these 3ν parameters, both separately and in selected pairs, and highlight the concordance or discordance among different constraints. Five oscillation parameters (δm2,|$Δm^2$|, θ122313) are consistently measured, with an overall accuracy ranging from ~1% for |$Δm^2$| to ~ 6% for sin2θ23 (due to its persisting octant ambiguity). We find overall hints for normal ordering (at ~ 2.5σ), as well as for θ23 < π/4 and for sinδ < 0 (both at 90% C.L.), and discuss some tensions among different datasets. Concerning nonoscillation data, we include the recent KATRIN constraints on mβ, and we combine the latest 76Ge, 130Te and 136Xe bounds on mββ, accounting for nuclear matrix element covariances. We also discuss some variants related to cosmic microwave background (CMB) anisotropy and lensing data, which may affect cosmological constraints on Σ and hints on sign ($Δm^2$). The default option, including all Planck results, irrespective of the so-called lensing anomaly, sets upper bounds on Σ at the level of ~10-1 eV, and further favors normal ordering up to ~3σ. An alternative option, that includes recent ACT results plus other independent results (from WMAP and selected Planck data) globally consistent with standard lensing, is insensitive to the ordering but prefers Σ ~ few x 10-1 eV, with different implications for mβ and mββ searches. In general, the unfinished fabric of the 3ν paradigm appears to be at the junction of diverse searches in particle and nuclear physics, astrophysics and cosmology, whose convergence will be crucial to achieve a convincing completion.

Research Organization:
Virginia Polytechnic Institute and State University (Virginia Tech), Blacksburg, VA (United States)
Sponsoring Organization:
USDOE Office of Science (SC); Italian Ministero dell’Universit` a e Ricerca (MUR); Istituto Nazionale di Fisica Nucleare (INFN); Durham University
Grant/Contract Number:
SC0020250; 2017W4HA7S
OSTI ID:
1827429
Alternate ID(s):
OSTI ID: 1979921
Journal Information:
Physical Review D, Journal Name: Physical Review D Vol. 104 Journal Issue: 8; ISSN 2470-0010
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

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