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Title: Perturbing neutrino oscillations around the solar resonance

Abstract

Atmospheric neutrinos at low energies, $$E \lesssim 500$$ MeV, are known to be a rich source of information on lepton mixing parameters. We formulate a simple perturbative framework to elucidate the characteristic features of neutrino oscillation at around the solar-scale enhancement due to the matter effect. The clearest message that we could extract from our perturbation theory is that CP violation in the appearance oscillation probability is large, a factor of $$\sim 10$$ times larger than CP violation at around the atmospheric-scale oscillation maximum. The underlying mechanism for this is that one of the suppression factors on the CP phase-dependent terms due to the smallness of $$\Delta m^2_{21} / \Delta m^2_{31}$$ is dynamically lifted by the solar-scale enhancement. Our framework has a unique feature as a perturbation theory in which a large $$\Delta m^2_{31}$$ term outside the key 1-2 sector for the solar-scale resonance does not yield sizable corrections. On the contrary, the larger the $$\Delta m^2_{31}$$, the smaller the higher-order corrections.

Authors:
 [1];  [2]
  1. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States). Theoretical Physics Dept.; Northwestern Univ., Evanston, IL (United States). Dept. of Physics and Astronomy; Colegio de Física Fundamental e Interdisciplinaria de las Américas (COFI), San Juan (Puerto Rico)
  2. Virginia Tech, Blacksburg, VA (United States). Dept. of Physics, Center for Neutrino Physics; Univ. of Tokyo, Kashiwa, Chiba (Japan). Inst. for Cosmic Ray Research, Research Center for Cosmic Neutrinos
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:
1545096
Report Number(s):
arXiv:1904.07853; FERMILAB-PUB-19-149-T; NUHEP-TH/19-05
Journal ID: ISSN 2050-3911; 1730033
Grant/Contract Number:  
AC02-07CH11359
Resource Type:
Accepted Manuscript
Journal Name:
Progress of Theoretical and Experimental Physics
Additional Journal Information:
Journal Volume: 2019; Journal Issue: 7; 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. Perturbing neutrino oscillations around the solar resonance. United States: N. p., 2019. Web. doi:10.1093/ptep/ptz067.
Martinez-Soler, Ivan, & Minakata, Hisakazu. Perturbing neutrino oscillations around the solar resonance. United States. doi:10.1093/ptep/ptz067.
Martinez-Soler, Ivan, and Minakata, Hisakazu. Mon . "Perturbing neutrino oscillations around the solar resonance". United States. doi:10.1093/ptep/ptz067. https://www.osti.gov/servlets/purl/1545096.
@article{osti_1545096,
title = {Perturbing neutrino oscillations around the solar resonance},
author = {Martinez-Soler, Ivan and Minakata, Hisakazu},
abstractNote = {Atmospheric neutrinos at low energies, $E \lesssim 500$ MeV, are known to be a rich source of information on lepton mixing parameters. We formulate a simple perturbative framework to elucidate the characteristic features of neutrino oscillation at around the solar-scale enhancement due to the matter effect. The clearest message that we could extract from our perturbation theory is that CP violation in the appearance oscillation probability is large, a factor of $\sim 10$ times larger than CP violation at around the atmospheric-scale oscillation maximum. The underlying mechanism for this is that one of the suppression factors on the CP phase-dependent terms due to the smallness of $\Delta m^2_{21} / \Delta m^2_{31}$ is dynamically lifted by the solar-scale enhancement. Our framework has a unique feature as a perturbation theory in which a large $\Delta m^2_{31}$ term outside the key 1-2 sector for the solar-scale resonance does not yield sizable corrections. On the contrary, the larger the $\Delta m^2_{31}$, the smaller the higher-order corrections.},
doi = {10.1093/ptep/ptz067},
journal = {Progress of Theoretical and Experimental Physics},
number = 7,
volume = 2019,
place = {United States},
year = {2019},
month = {7}
}

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