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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]
  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 Lab. (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. https://doi.org/10.1007/JHEP01(2016)180.
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
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.
@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 = {2016},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 7 works
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Works referenced in this record:

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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

    Analytical solutions to renormalization-group equations of effective neutrino masses and mixing parameters in matter
    journal, May 2019


    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

    Addendum to “Compact perturbative expressions for neutrino oscillations in matter”
    journal, June 2018

    • Denton, Peter B.; Parke, Stephen J.
    • Journal of High Energy Physics, Vol. 2018, Issue 6
    • DOI: 10.1007/jhep06(2018)109

    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


    Simple and precise factorization of the Jarlskog invariant for neutrino oscillations in matter
    journal, September 2019


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


    Sensitivities and synergies of DUNE and T2HK
    journal, August 2017


    Matter density profile shape effects at DUNE
    journal, July 2018


    Rotations versus perturbative expansions for calculating neutrino oscillation probabilities in matter
    journal, August 2018