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Title: Simple and compact expressions for neutrino oscillation probabilities in matter

Abstract

We reformulate perturbation theory for neutrino oscillations in matter with an expansion parameter related to the ratio of the solar to the atmospheric Δm2 scales. Unlike previous works, use a renormalized basis in which certain first-order effects are taken into account in the zeroth-order Hamiltonian. Using this perturbation theory we derive extremely compact expressions for the neutrino oscillations probabilities in matter. We find, for example, that the νe disappearance probability at this order is of a simple two flavor form with an appropriately identified mixing angle and Δm2. Furthermore, despite exceptional simplicity in their forms they accommodate all order effects θ13 and the matter potential.

Authors:
 [1];  [2]
+ Show Author Affiliations
  1. Univ. de Sao Paulo, Sao Paulo (Brazil)
  2. Fermi National Accelerator Lab. (FNAL), Batavia, IL (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)
OSTI Identifier:
1212719
Report Number(s):
FERMILAB-PUB-15-196-T
Journal ID: ISSN 1029-8479; arXiv eprint number arXiv:1505.01826
Grant/Contract Number:  
AC02-07CH11359
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 180; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Minakata, Hisakazu, and Parke, Stephen J. Simple and compact expressions for neutrino oscillation probabilities in matter. United States: N. p., 2016. Web. doi:10.1007/JHEP01(2016)180.
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Minakata, Hisakazu, & Parke, Stephen J. Simple and compact expressions for neutrino oscillation probabilities in matter. United States. https://doi.org/10.1007/JHEP01(2016)180
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Minakata, Hisakazu, and Parke, Stephen J. Fri . "Simple and compact expressions for neutrino oscillation probabilities in matter". United States. https://doi.org/10.1007/JHEP01(2016)180. https://www.osti.gov/servlets/purl/1212719.
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@article{osti_1212719,
title = {Simple and compact expressions for neutrino oscillation probabilities in matter},
author = {Minakata, Hisakazu and Parke, Stephen J.},
abstractNote = {We reformulate perturbation theory for neutrino oscillations in matter with an expansion parameter related to the ratio of the solar to the atmospheric Δm2 scales. Unlike previous works, use a renormalized basis in which certain first-order effects are taken into account in the zeroth-order Hamiltonian. Using this perturbation theory we derive extremely compact expressions for the neutrino oscillations probabilities in matter. We find, for example, that the νe disappearance probability at this order is of a simple two flavor form with an appropriately identified mixing angle and Δm2. Furthermore, despite exceptional simplicity in their forms they accommodate all order effects θ13 and the matter potential.},
doi = {10.1007/JHEP01(2016)180},
journal = {Journal of High Energy Physics (Online)},
number = 180,
volume = 2016,
place = {United States},
year = {Fri Jan 29 00:00:00 EST 2016},
month = {Fri Jan 29 00:00:00 EST 2016}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1007/JHEP01(2016)180
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Works referenced in this record:

Neutrino Propagation in Matter
journal, January 2013

  • Blennow, Mattias; Smirnov, Alexei Yu.
  • Advances in High Energy Physics, Vol. 2013
  • DOI: 10.1155/2013/972485

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Golden measurements at a neutrino factory
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Spectral Measurement of Electron Antineutrino Oscillation Amplitude and Frequency at Daya Bay
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Three-Neutrino Oscillations in Matter, Cp-Violation and Topological Phases
journal, January 1992

CP and T violation in neutrino oscillations and invariance of Jarlskog's determinant to matter effects
journal, March 2000

Large-θ 13 perturbation theory of neutrino oscillation for long-baseline experiments
journal, June 2011

  • Asano, Katsuhiro; Minakata, Hisakazu
  • Journal of High Energy Physics, Vol. 2011, Issue 6
  • DOI: 10.1007/JHEP06(2011)022

Analytical approximation of the neutrino oscillation matter effects at large θ 13
journal, April 2014

  • Agarwalla, Sanjib Kumar; Kao, Yee; Takeuchi, Tatsu
  • Journal of High Energy Physics, Vol. 2014, Issue 4
  • DOI: 10.1007/JHEP04(2014)047

Neutrino oscillations in matter
journal, October 1989

Neutrino Oscillations in Matter
book, January 1986

Neutrino Oscillations In Matter
book, March 2007

Neutrino Propagation in Matter
text, January 2013

A new measurement of antineutrino oscillation with the full detector configuration at Daya Bay
text, January 2015

Golden measurements at a neutrino factory
text, January 2000

CP Violation and Matter Effect in Long Baseline Neutrino Oscillation Experiments
text, January 1997

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    Works referencing / citing this record:

    Non-unitary evolution of neutrinos in matter and the leptonic unitarity test
    journal, February 2019

    • Fong, Chee Sheng; Minakata, Hisakazu; Nunokawa, Hiroshi
    • Journal of High Energy Physics, Vol. 2019, Issue 2
    • DOI: 10.1007/jhep02(2019)015

    Compact perturbative expressions for neutrino oscillations in matter
    journal, June 2016

    • Denton, Peter B.; Minakata, Hisakazu; Parke, Stephen J.
    • Journal of High Energy Physics, Vol. 2016, Issue 6
    • DOI: 10.1007/jhep06(2016)051

    Looking into analytical approximations for three-flavor neutrino oscillation probabilities in matter
    journal, December 2016

    • Li, Yu-Feng; Zhang, Jue; Zhou, Shun
    • Journal of High Energy Physics, Vol. 2016, Issue 12
    • DOI: 10.1007/jhep12(2016)109

    Symmetric formulation of neutrino oscillations in matter and its intrinsic connection to renormalization-group equations
    journal, March 2017

    What is Δ m e e 2 ?
    journal, March 2016

    Sensitivities and synergies of DUNE and T2HK
    journal, August 2017

    Compact Perturbative Expressions For Neutrino Oscillations in Matter
    text, January 2016

    Sensitivities and synergies of DUNE and T2HK
    text, January 2016

    Non-unitary evolution of neutrinos in matter and the leptonic unitarity test
    text, January 2017

    Matter Density Profile Shape Effects at DUNE
    text, January 2018

    Rotations Versus Perturbative Expansions for Calculating Neutrino Oscillation Probabilities in Matter
    text, January 2018

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