skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Generalized perturbations in neutrino mixing

Journal Article · · Physical Review. D, Particles, Fields, Gravitation and Cosmology
 [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

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.

Research Organization:
Univ. of Hawaii, Honolulu, HI (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
Grant/Contract Number:
SC0010504; PHY11-25915
OSTI ID:
1598658
Alternate ID(s):
OSTI ID: 1223033
Journal Information:
Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 92, Issue 7; ISSN 1550-7998
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 8 works
Citation information provided by
Web of Science

References (40)

Indication of Electron Neutrino Appearance from an Accelerator-Produced Off-Axis Muon Neutrino Beam journal July 2011
A non-standard CP transformation leading to maximal atmospheric neutrino mixing journal January 2004
Icosahedral ( A 5 ) family symmetry and the golden ratio prediction for solar neutrino mixing journal April 2009
Reducing θ13 to 9° journal May 2014
TFH mixing patterns, large <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mrow><mml:mi>θ</mml:mi></mml:mrow><mml:mrow><mml:mn>13</mml:mn></mml:mrow></mml:msub></mml:math> and <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>96</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> flavor symmetry journal September 2012
Solar Neutrino Puzzle: An Oscillation Solution with Maximal Neutrino Mixing journal December 1998
μ–τ reflection symmetry in lepton mixing and neutrino oscillations journal November 2002
Observation of Electron-Antineutrino Disappearance at Daya Bay journal April 2012
Status of three-neutrino oscillation parameters, circa 2013 journal May 2014
Review of Particle Physics journal August 2014
Universal texture of quark and lepton mass matrices with an extended flavor 2 3 symmetry journal May 2004
Neutrino mass and mixing with discrete symmetry journal May 2013
Underlying A4 symmetry for the neutrino mass matrix and the quark mixing matrix journal January 2003
Tri-bimaximal mixing and the neutrino oscillation data journal March 2002
Neutrino mixing and CP phase correlations journal June 2015
Test of the Equivalence Principle Using a Rotating Torsion Balance journal January 2008
Perturbation theory of neutrino oscillation with nonstandard neutrino interactions journal March 2009
S 2 L permutation symmetry for left-handed μ and τ families and neutrino oscillations in an SU ( 3 ) L × U ( 1 ) N gauge model journal January 2003
Nonstandard neutrino interactions in reactor and superbeam experiments journal January 2008
T ESTS OF THE G RAVITATIONAL I NVERSE -S QUARE L AW journal December 2003
Neutrino oscillations in matter journal May 1978
Softly broken lepton numbers and maximal neutrino mixing journal July 2001
Status of non-standard neutrino interactions journal March 2013
Perturbations to μ τ symmetry in neutrino mixing journal January 2013
Observation of Reactor Electron Antineutrinos Disappearance in the RENO Experiment journal May 2012
Do neutrinos have mass only within matter? journal February 1999
Constructing the large mixing angle MNS matrix in see-saw models with right-handed neutrino dominance journal September 2002
Solar Mass-Varying Neutrino Oscillations journal November 2005
Observation of Electron Neutrino Appearance in a Muon Neutrino Beam journal February 2014
Electron Neutrino and Antineutrino Appearance in the Full MINOS Data Sample journal April 2013
Discrete flavour symmetries in light of T2K journal September 2011
A 2-3 symmetry in neutrino oscillations journal May 2001
Improved Search for Muon-Neutrino to Electron-Neutrino Oscillations in MINOS journal October 2011
First measurement of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msub><mml:mrow><mml:mi>θ</mml:mi></mml:mrow><mml:mrow><mml:mn>13</mml:mn></mml:mrow></mml:msub></mml:math> from delayed neutron capture on hydrogen in the Double Chooz experiment journal June 2013
New Matter Effects in Neutrino Oscillation Experiments journal October 2004
A Grand Flavour Model journal February 2013
Dark energy from mass varying neutrinos journal October 2004
Bi-maximal mixing of three neutrinos journal October 1998
Golden ratio prediction for solar neutrino mixing journal December 2007
A discrete symmetry group for maximal atmospheric neutrino mixing journal October 2003

Cited By (1)

Scalar Nonstandard Interactions in Neutrino Oscillation journal May 2019

Similar Records

Charged lepton decays l{sub i}{yields}l{sub j}+{gamma}, leptogenesis CP-violating parameters and Majorana phases
Journal Article · Sun Oct 01 00:00:00 EDT 2006 · Physical Review. D, Particles Fields · OSTI ID:1598658

Nearly Tri-bimaximal Mixing in the S{sub 3} Flavor Symmetry
Journal Article · Wed Jul 02 00:00:00 EDT 2008 · AIP Conference Proceedings · OSTI ID:1598658

Neutrino Factory: Physics and R&D Status
Conference · Tue Aug 03 00:00:00 EDT 2004 · OSTI ID:1598658