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Title: On the Nature of Correlation between Neutrino-SM CP Phase and Unitarity Violating New Physics Parameters

Abstract

To perform leptonic unitarity test, understanding the system with the three-flavor active neutrinos with non-unitary mixing is required, in particular, on its evolution in matter and the general features of parameter correlations. In this paper, we discuss the nature of correlation between $$\nu$$SM CP phase $$\delta$$ and the $$\alpha$$ parameters, where $$\alpha$$'s are to quantify the effect of non-unitarity. A question arose on whether it is real and physical when the same authors uncovered, in a previous paper, the $$\delta - \alpha$$ parameter correlation of the form $$[ e^{- i \delta } \bar{\alpha}_{\mu e}, e^{ - i \delta} \bar{\alpha}_{\tau e}, \bar{\alpha}_{\tau \mu} ]$$ using the PDG convention of the flavor mixing matrix $$U_{\text{\tiny MNS}}$$. This analysis utilizes a perturbative framework which is valid at around the atmospheric MSW enhancement. In fact, the phase correlation depends on the convention of $$U_{\text{\tiny MNS}}$$, and the existence of the SOL convention ($$e^{ \pm i \delta}$$ attached to $$s_{12}$$) in which the correlation is absent triggered a doubt that it may not be physical. We resolve the controversy of whether the phase correlation is physical by examining the correlation in completely different kinematical phase space, at around the solar-scale enhancement. It reveals a dynamical $$\delta-$$(blob of $$\alpha$$ parameter) correlation in the SOL convention which prevails in the other conventions of $$U_{\text{\tiny MNS}}$$. It indicates that the phase correlation seen in this and the previous papers is physical and cannot be an artifact of $$U_{\text{\tiny MNS}}$$ convention.

Authors:
 [1];  [2]
  1. Northwestern U.
  2. Virginia Tech.
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:
1561545
Report Number(s):
arXiv:1908.04855; NUHEP-TH/19-09; FERMILAB-PUB-19-397-T
oai:inspirehep.net:1749570
DOE Contract Number:  
AC02-07CH11359
Resource Type:
Journal Article
Journal Name:
TBD
Additional Journal Information:
Journal Name: TBD
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Martinez-Soler, Ivan, and Minakata, Hisakazu. On the Nature of Correlation between Neutrino-SM CP Phase and Unitarity Violating New Physics Parameters. United States: N. p., 2019. Web.
Martinez-Soler, Ivan, & Minakata, Hisakazu. On the Nature of Correlation between Neutrino-SM CP Phase and Unitarity Violating New Physics Parameters. United States.
Martinez-Soler, Ivan, and Minakata, Hisakazu. Tue . "On the Nature of Correlation between Neutrino-SM CP Phase and Unitarity Violating New Physics Parameters". United States. https://www.osti.gov/servlets/purl/1561545.
@article{osti_1561545,
title = {On the Nature of Correlation between Neutrino-SM CP Phase and Unitarity Violating New Physics Parameters},
author = {Martinez-Soler, Ivan and Minakata, Hisakazu},
abstractNote = {To perform leptonic unitarity test, understanding the system with the three-flavor active neutrinos with non-unitary mixing is required, in particular, on its evolution in matter and the general features of parameter correlations. In this paper, we discuss the nature of correlation between $\nu$SM CP phase $\delta$ and the $\alpha$ parameters, where $\alpha$'s are to quantify the effect of non-unitarity. A question arose on whether it is real and physical when the same authors uncovered, in a previous paper, the $\delta - \alpha$ parameter correlation of the form $[ e^{- i \delta } \bar{\alpha}_{\mu e}, e^{ - i \delta} \bar{\alpha}_{\tau e}, \bar{\alpha}_{\tau \mu} ]$ using the PDG convention of the flavor mixing matrix $U_{\text{\tiny MNS}}$. This analysis utilizes a perturbative framework which is valid at around the atmospheric MSW enhancement. In fact, the phase correlation depends on the convention of $U_{\text{\tiny MNS}}$, and the existence of the SOL convention ($e^{ \pm i \delta}$ attached to $s_{12}$) in which the correlation is absent triggered a doubt that it may not be physical. We resolve the controversy of whether the phase correlation is physical by examining the correlation in completely different kinematical phase space, at around the solar-scale enhancement. It reveals a dynamical $\delta-$(blob of $\alpha$ parameter) correlation in the SOL convention which prevails in the other conventions of $U_{\text{\tiny MNS}}$. It indicates that the phase correlation seen in this and the previous papers is physical and cannot be an artifact of $U_{\text{\tiny MNS}}$ convention.},
doi = {},
journal = {TBD},
number = ,
volume = ,
place = {United States},
year = {2019},
month = {8}
}