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Title: Addendum to “Compact perturbative expressions for neutrino oscillations in matter”

Abstract

In this Addendum we rewrite the neutrino mixing angles and mass squared differences in matter given in our original paper, in a notation that is more conventiona for the reader. Replacing the usual neutrino mixing angles and mass squared differences in the expressions for the vacuum oscillation probabilities with these matter mixing angles and mass squared differences gives an excellent approximation to the oscillation probabilities in matter. As a result, comparisons for T2K & T2HK, NOvA, T2HKK and DUNE are also given for neutrinos and anti-neutrinos, disappearance and appearance channels, and for both normal and inverted orderings.

Authors:
ORCiD logo [1]; ORCiD logo [2]
  1. Univ. of Copenhagen, Copenhagen (Denmark)
  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:
1420420
Report Number(s):
FERMILAB-PUB-18-014-T; arXiv:1801.06514
Journal ID: ISSN 1029-8479; 1649088
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: 2018; Journal Issue: 6; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CP violation; Beyond Standard Model; Neutrino Physics

Citation Formats

Denton, Peter B., and Parke, Stephen J. Addendum to “Compact perturbative expressions for neutrino oscillations in matter”. United States: N. p., 2018. Web. doi:10.1007/JHEP06(2018)109.
Denton, Peter B., & Parke, Stephen J. Addendum to “Compact perturbative expressions for neutrino oscillations in matter”. United States. doi:10.1007/JHEP06(2018)109.
Denton, Peter B., and Parke, Stephen J. Thu . "Addendum to “Compact perturbative expressions for neutrino oscillations in matter”". United States. doi:10.1007/JHEP06(2018)109. https://www.osti.gov/servlets/purl/1420420.
@article{osti_1420420,
title = {Addendum to “Compact perturbative expressions for neutrino oscillations in matter”},
author = {Denton, Peter B. and Parke, Stephen J.},
abstractNote = {In this Addendum we rewrite the neutrino mixing angles and mass squared differences in matter given in our original paper, in a notation that is more conventiona for the reader. Replacing the usual neutrino mixing angles and mass squared differences in the expressions for the vacuum oscillation probabilities with these matter mixing angles and mass squared differences gives an excellent approximation to the oscillation probabilities in matter. As a result, comparisons for T2K & T2HK, NOvA, T2HKK and DUNE are also given for neutrinos and anti-neutrinos, disappearance and appearance channels, and for both normal and inverted orderings.},
doi = {10.1007/JHEP06(2018)109},
journal = {Journal of High Energy Physics (Online)},
number = 6,
volume = 2018,
place = {United States},
year = {2018},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 4 works
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Works referenced in this record:

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

An effective two-flavor approximation for neutrino survival probabilities in matter
journal, May 2017


Another possible way to determine the neutrino mass hierarchy
journal, July 2005

  • Nunokawa, Hiroshi; Parke, Stephen; Funchal, Renata Zukanovich
  • Physical Review D, Vol. 72, Issue 1
  • DOI: 10.1103/PhysRevD.72.013009

Cross Check Of Nova Oscillation Probabilities
preprint, January 2018


The T2K experiment
journal, December 2011

  • Abe, K.; Abgrall, N.; Aihara, H.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 659, Issue 1
  • DOI: 10.1016/j.nima.2011.06.067

Simple and compact expressions for neutrino oscillation probabilities in matter
journal, January 2016

  • Minakata, Hisakazu; Parke, Stephen J.
  • Journal of High Energy Physics, Vol. 2016, Issue 1
  • DOI: 10.1007/JHEP01(2016)180

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


Analytic Neutrino Oscillation Probabilities in Matter: Revisited
conference, June 2018

  • Parke, Stephen; B. Denton, Peter; Minakata, Hisakazu
  • Proceedings of The 19th International Workshop on Neutrinos from Accelerators NUFACT2017 — PoS(NuFact2017)
  • DOI: 10.22323/1.295.0055

    Works referencing / citing this record:

    The T2K experiment
    journal, December 2011

    • Abe, K.; Abgrall, N.; Aihara, H.
    • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 659, Issue 1
    • DOI: 10.1016/j.nima.2011.06.067

    Another possible way to determine the neutrino mass hierarchy
    journal, July 2005

    • Nunokawa, Hiroshi; Parke, Stephen; Funchal, Renata Zukanovich
    • Physical Review D, Vol. 72, Issue 1
    • DOI: 10.1103/physrevd.72.013009

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


    Simple and compact expressions for neutrino oscillation probabilities in matter
    journal, January 2016

    • Minakata, Hisakazu; Parke, Stephen J.
    • Journal of High Energy Physics, Vol. 2016, Issue 1
    • DOI: 10.1007/jhep01(2016)180

    An effective two-flavor approximation for neutrino survival probabilities in matter
    journal, May 2017


    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

    Matter density profile shape effects at DUNE
    journal, July 2018


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