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

Denton, Peter B.; Parke, Stephen J.

doi:10.1007/JHEP06(2018)109

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:

^[1];

^[2]

Univ. of Copenhagen, Copenhagen (Denmark)
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

Publication Date:: Thu Jun 21 00:00:00 EDT 2018

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.

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                    Denton, Peter B., & Parke, Stephen J. Addendum to “Compact perturbative expressions for neutrino oscillations in matter”.  United States.  https://doi.org/10.1007/JHEP06(2018)109

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                    Denton, Peter B., and Parke, Stephen J. Thu .  
"Addendum to “Compact perturbative expressions for neutrino oscillations in matter”".  United States.  https://doi.org/10.1007/JHEP06(2018)109.  https://www.osti.gov/servlets/purl/1420420.

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@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         = {Thu Jun 21 00:00:00 EDT 2018},

  month        = {Thu Jun 21 00:00:00 EDT 2018}

}

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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

Minakata, Hisakazu
Journal of High Energy Physics, Vol. 2017, Issue 5
DOI: 10.1007/JHEP05(2017)043

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

Parke, Stephen J; Messier, Mark D.
Zenodo, 8 p.
DOI: 10.5281/zenodo.1146747

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

Parke, Stephen
Physical Review D, Vol. 93, Issue 5
DOI: 10.1103/PhysRevD.93.053008

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

Cross Check Of Nova Oscillation Probabilities
text, January 2018

Parke, Stephen J.; Messier, Mark D.
Zenodo
DOI: 10.5281/zenodo.1146746

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

Denton, Peter B.; Minakata, Hisakazu; Parke, Stephen J.
arXiv
DOI: 10.48550/arxiv.1604.08167

An Effective Two-Flavor Approximation for Neutrino Survival Probabilities in Matter
text, January 2017

Minakata, Hisakazu
arXiv
DOI: 10.48550/arxiv.1702.03332

Another possible way to determine the Neutrino Mass Hierarchy
text, January 2005

Nunokawa, Hiroshi; Parke, Stephen; Funchal, Renata Zukanovich
arXiv
DOI: 10.48550/arxiv.hep-ph/0503283

Works referencing / citing this record:

Matter Density Profile Shape Effects at DUNE
text, January 2018

Kelly, Kevin J.; Parke, Stephen J.
arXiv
DOI: 10.48550/arxiv.1802.06784

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

Denton, Peter B.; Parke, Stephen J.; Zhang, Xining
arXiv
DOI: 10.48550/arxiv.1806.01277

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

Abstract

Citation Formats

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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

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

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Another possible way to determine the Neutrino Mass Hierarchy text, January 2005

Matter Density Profile Shape Effects at DUNE text, January 2018

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

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

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

Cross Check Of Nova Oscillation Probabilities
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journal, March 2016

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text, January 2016

An Effective Two-Flavor Approximation for Neutrino Survival Probabilities in Matter
text, January 2017

Another possible way to determine the Neutrino Mass Hierarchy
text, January 2005

Matter Density Profile Shape Effects at DUNE
text, January 2018

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