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Title: Generalized perturbations in neutrino mixing

Abstract

We derive here expressions for the neutrino mixing parameters that result from complex perturbations on (1) the Majorana neutrino mass matrix (in the basis of charged lepton mass eigenstates) and on (2) the charged lepton mass matrix, for arbitrary initial (unperturbed) mixing matrices. In the first case, we find that the phases of the elements of the perturbation matrix, and the initial values of the Dirac and Majorana phases, strongly impact the leading order corrections to the neutrino mixing parameters and phases. For experimentally compatible scenarios wherein the initial neutrino mass matrix has μ-τ symmetry, we discovef that the Dirac phase can take any value under small perturbations. Similarly, in the second case, perturbations to the charged lepton mass matrix can generate large corrections to the mixing angles and phases of the PMNS matrix. As an demonstration of our generalized procedure, we apply it to a situation in which nonstandard scalar and nonstandard vector interactions simultaneously affect neutrino oscillations.

Authors:
 [1];  [1];  [2]
  1. Univ. of Hawaii at Manoa, Honolulu, HI (United States). Dept. of Physics and Astronomy; Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics
  2. Iowa State Univ., Ames, IA (United States). Dept. of Physics and Astronomy; Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics
Publication Date:
Research Org.:
Univ. of Hawaii, Honolulu, HI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
OSTI Identifier:
1598658
Alternate Identifier(s):
OSTI ID: 1223033
Grant/Contract Number:  
SC0010504; PHY11-25915
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 92; Journal Issue: 7; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Liao, Jiajun, Marfatia, D., and Whisnant, K. Generalized perturbations in neutrino mixing. United States: N. p., 2015. Web. doi:10.1103/PhysRevD.92.073004.
Liao, Jiajun, Marfatia, D., & Whisnant, K. Generalized perturbations in neutrino mixing. United States. https://doi.org/10.1103/PhysRevD.92.073004
Liao, Jiajun, Marfatia, D., and Whisnant, K. 2015. "Generalized perturbations in neutrino mixing". United States. https://doi.org/10.1103/PhysRevD.92.073004. https://www.osti.gov/servlets/purl/1598658.
@article{osti_1598658,
title = {Generalized perturbations in neutrino mixing},
author = {Liao, Jiajun and Marfatia, D. and Whisnant, K.},
abstractNote = {We derive here expressions for the neutrino mixing parameters that result from complex perturbations on (1) the Majorana neutrino mass matrix (in the basis of charged lepton mass eigenstates) and on (2) the charged lepton mass matrix, for arbitrary initial (unperturbed) mixing matrices. In the first case, we find that the phases of the elements of the perturbation matrix, and the initial values of the Dirac and Majorana phases, strongly impact the leading order corrections to the neutrino mixing parameters and phases. For experimentally compatible scenarios wherein the initial neutrino mass matrix has μ-τ symmetry, we discovef that the Dirac phase can take any value under small perturbations. Similarly, in the second case, perturbations to the charged lepton mass matrix can generate large corrections to the mixing angles and phases of the PMNS matrix. As an demonstration of our generalized procedure, we apply it to a situation in which nonstandard scalar and nonstandard vector interactions simultaneously affect neutrino oscillations.},
doi = {10.1103/PhysRevD.92.073004},
url = {https://www.osti.gov/biblio/1598658}, journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
issn = {1550-7998},
number = 7,
volume = 92,
place = {United States},
year = {Tue Oct 06 00:00:00 EDT 2015},
month = {Tue Oct 06 00:00:00 EDT 2015}
}

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Cited by: 8 works
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Works referenced in this record:

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Works referencing / citing this record:

Scalar Nonstandard Interactions in Neutrino Oscillation
journal, May 2019