Standard versus non-standard CP phases in neutrino oscillation in matter with non-unitarity
Abstract
We formulate a perturbative framework for the flavor transformation of the standard active three neutrinos but with a non-unitary flavor mixing matrix, a system which may be relevant for the leptonic unitarity test. We use the $$\alpha$$ parametrization of the non-unitary matrix and take its elements $$\alpha_{\beta \gamma}$$ ($$\beta,\gamma = e,\mu,\tau$$) and the ratio $$\epsilon \simeq \Delta m^2_{21} / \Delta m^2_{31}$$ as the small expansion parameters. Two qualitatively new features that hold in all the oscillation channels are uncovered in the probability formula obtained to first order in the expansion: (1) The phases of the complex $$\alpha$$ elements always come into the observable in the particular combination with the $$\nu$$SM CP phase $$\delta$$ in the form $$[e^{- i \delta } \bar{\alpha}_{\mu e}, ~e^{ - i \delta} \bar{\alpha}_{\tau e}, ~\bar{\alpha}_{\tau \mu}]$$ under the Particle Data Group convention of a unitary $$\nu$$SM mixing matrix. (2) The diagonal $$\alpha$$ parameters appear in particular combinations $$\left( a/b - 1 \right) \alpha_{ee} + \alpha_{\mu \mu}$$ and $$\alpha_{\mu \mu} - \alpha_{\tau \tau}$$, where $$a$$ and $$b$$ denote, respectively, the matter potential due to charged current and neutral current reactions. This property holds only in the unitary evolution part of the probability, and there is no such feature in the genuine non-unitary part, while the $$\delta$$–$$\alpha$$ parameter phase correlation exists for both. The reason for such remarkable stability of the phase correlation is discussed.
- Authors:
-
[1];
- Spanish National Research Council (CSIC), Madrid (Spain); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Northwestern Univ., Evanston, IL (United States); Colegio de Física Fundamental e Interdisciplinaria de las Américas (COFI), San Juan (Puerto Rico)
- Spanish National Research Council (CSIC), Madrid (Spain); Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
- Publication Date:
- Research Org.:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); Ministry of Economy and Competitiveness (MINECO) (Spain); Spanish Research Agency; European Research Council (ERC)
- OSTI Identifier:
- 1764836
- Report Number(s):
- IFT-UAM/CSIC-18-061; FERMILAB-PUB-20-683-T
Journal ID: ISSN 2050-3911; oai:inspirehep.net:1679897; TRN: US2206208
- Grant/Contract Number:
- AC02-07CH11359; FPA2015-65929-P; SEV2012-0249; SEV-2016-0597; 674896; 690575
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Progress of Theoretical and Experimental Physics
- Additional Journal Information:
- Journal Volume: 2020; Journal Issue: 6; Journal ID: ISSN 2050-3911
- Publisher:
- Physical Society of Japan
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Martinez-Soler, Ivan, and Minakata, Hisakazu. Standard versus non-standard CP phases in neutrino oscillation in matter with non-unitarity. United States: N. p., 2020.
Web. doi:10.1093/ptep/ptaa062.
Martinez-Soler, Ivan, & Minakata, Hisakazu. Standard versus non-standard CP phases in neutrino oscillation in matter with non-unitarity. United States. https://doi.org/10.1093/ptep/ptaa062
Martinez-Soler, Ivan, and Minakata, Hisakazu. Mon .
"Standard versus non-standard CP phases in neutrino oscillation in matter with non-unitarity". United States. https://doi.org/10.1093/ptep/ptaa062. https://www.osti.gov/servlets/purl/1764836.
@article{osti_1764836,
title = {Standard versus non-standard CP phases in neutrino oscillation in matter with non-unitarity},
author = {Martinez-Soler, Ivan and Minakata, Hisakazu},
abstractNote = {We formulate a perturbative framework for the flavor transformation of the standard active three neutrinos but with a non-unitary flavor mixing matrix, a system which may be relevant for the leptonic unitarity test. We use the $\alpha$ parametrization of the non-unitary matrix and take its elements $\alpha_{\beta \gamma}$ ($\beta,\gamma = e,\mu,\tau$) and the ratio $\epsilon \simeq \Delta m^2_{21} / \Delta m^2_{31}$ as the small expansion parameters. Two qualitatively new features that hold in all the oscillation channels are uncovered in the probability formula obtained to first order in the expansion: (1) The phases of the complex $\alpha$ elements always come into the observable in the particular combination with the $\nu$SM CP phase $\delta$ in the form $[e^{- i \delta } \bar{\alpha}_{\mu e}, ~e^{ - i \delta} \bar{\alpha}_{\tau e}, ~\bar{\alpha}_{\tau \mu}]$ under the Particle Data Group convention of a unitary $\nu$SM mixing matrix. (2) The diagonal $\alpha$ parameters appear in particular combinations $\left( a/b - 1 \right) \alpha_{ee} + \alpha_{\mu \mu}$ and $\alpha_{\mu \mu} - \alpha_{\tau \tau}$, where $a$ and $b$ denote, respectively, the matter potential due to charged current and neutral current reactions. This property holds only in the unitary evolution part of the probability, and there is no such feature in the genuine non-unitary part, while the $\delta$–$\alpha$ parameter phase correlation exists for both. The reason for such remarkable stability of the phase correlation is discussed.},
doi = {10.1093/ptep/ptaa062},
journal = {Progress of Theoretical and Experimental Physics},
number = 6,
volume = 2020,
place = {United States},
year = {Mon Jun 08 00:00:00 EDT 2020},
month = {Mon Jun 08 00:00:00 EDT 2020}
}
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